McGraw Hill Math Grade 8 Posttest Answer Key

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Posttest to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Posttest Answer Key

Complete the following test items.

Question 1.
Robin runs 24 kilometers a week. If she continues to run at this rate, how many kilometers will she run in a year?
Answer:
1248 km
Explanation:
Robin runs 24 kilometers a week.
If she continues to run at this rate,
Number of kilometers she run in a year,
1 year = 52 weeks
= 52 x 24
= 1,248 km.

Question 2.
The fashion department at an outlet store had a sale on t-shirts. There were 1,124 t-shirts in stock at the beginning of the sale and another 426 more were ordered. At the end of the sale the store still had 335 t-shirts in stock. How many t-shirts were sold during the sale?
Answer:
1215 T-shirts.
Explanation:
There were 1,124 t-shirts in stock at the beginning of the sale,
another 426 more were ordered.
1124 + 426 = 1550
At the end of the sale the store still had 335 t-shirts in stock.
Total t-shirts sold during the sale,
1550 – 335 = 1215 T- shirts.

Question 3.
Ronnie has 12 lengths of garden hose. Each is 6\(\frac{3}{4}\) meters long. How many meters of garden hose does Ronnie have to divide among 6 people working in the community garden? _____________
How much hose will each person receive? _____________
Answer:
81 meters;
Each person will receive 13\(\frac{1}{2}\).
Explanation:
Ronnie has 12 lengths of garden hose.
Each is 6\(\frac{3}{4}\) meters long.
Ronnie have to divide among 6 people working in the community garden as,
6\(\frac{3}{4}\) x 12
= \(\frac{27}{4}\) x 12
= \(\frac{27 X 12}{4}\)
= \(\frac{324}{4}\)
= 81 meters
Each person receive \(\frac{81}{6}\)
= 13\(\frac{1}{2}\)

Question 4.
Don has 112 quarts of tomato sauce to divide among the 12 contestants in a pasta cooking contest. How many cups is that per contestant?
Answer:
37\(\frac{1}{3}\) cups
Explanation:
Don has 112 quarts of tomato sauce to divide among the 12 contestants in a pasta cooking contest.
1 quart = 4 cups
112 x 4 = 448 cups
Number of cups per contestant,
= \(\frac{448}{12}\) cups
= 37\(\frac{1}{3}\) cups

Question 5.
6\(\frac{5}{8}\) + 3\(\frac{1}{4}\) + \(\frac{1}{6}\) + 1\(\frac{1}{3}\) = _____________
Answer:
11\(\frac{3}{8}\)
Explanation:
6\(\frac{5}{8}\) + 3\(\frac{1}{4}\) + \(\frac{1}{6}\) + 1\(\frac{1}{3}\)
= \(\frac{53}{8}\) + \(\frac{13}{4}\) + \(\frac{1}{6}\) + \(\frac{4}{3}\)
= \(\frac{(53 X 3) + (13 X 6) + (1 X 4) + (4 X 8)}{24}\)
= \(\frac{159 + 78 + 4 + 32}{24}\)
= \(\frac{273}{24}\)
= \(\frac{91}{8}\)
= 11\(\frac{3}{8}\)

Question 6.
-10 + 15 – (-6) + 5(-4) + \(\frac{16}{-8}\) = ______________
Answer:
-11
Explanation:
-10 + 15 – (-6) + 5(-4) + \(\frac{16}{-8}\)
= 5 + 6 – 20 – 2
= 11 – 22
= – 11

Question 7.
Solve for x: x – 8 = 16
Answer:
x = 24
Explanation:
Given, x – 8 = 16
x = 16 + 8
x = 24

Question 8.
Solve for x: 3x + 6 = 30
Answer:
x = 8
Explanation:
Given, 3x + 6 = 30
3x = 30 – 6
3x = 24
x = \(\frac{24}{3}\)
x = 8

Question 9.
Solve: 12 + (11 – 7)² – (16 ÷ 2) + 4(8 × 2) – 3(8 – 2) = ____________
Answer:
66
Explanation:
12 + (11 – 7)² – (16 ÷ 2) + 4(8 × 2) – 3(8 – 2)
= 12 + (4)² – (8) + 4(16) – 3(6)
= 12 + 16 – 8 + 64 – 18
= 28 – 8 + 64 – 18
= 20 + 64 – 18
= 84 – 18
= 66

Question 10.
Restate in exponent form, then solve: 4 × 4 × 4 × 3 × 3 + 5 × 5 = ______________
Answer:
4³ x 3² + 5² = 601
Explanation:
Given, 4 × 4 × 4 × 3 × 3 + 5 × 5
= 4³ x 3² + 5²
= 64 x 9 + 25
576 + 25
= 601

Question 11.
4.65 meters = _____________ inches (Use 2.54 cm = 1 inch)
Answer:
183.1 inches
Explanation:
Given, 4.65 meters
1m = 100 cm
4.65 x 100 = 465 cm
Given, 2.54 cm = 1 inch
465 ÷ 2.54 = 183.1 inches

Question 12.
16 yards = _____________ centimeters
Answer:
1463 yards
Explanation:
1 yard = 91.44
16 yards = 1463 yards

Question 13.
What is the area of the rectangle?

What is the perimeter of the rectangle?
Answer:
Area of the rectangle = 75 sq cm;
Perimeter of the rectangle = 40 cm.
Explanation:
Area of rectangle = length x breadth
length = 15 cm; breadth = 5 cm
A = 15 x 5 = 75 cm
Perimeter of Rectangle = 2 (l + b)
= 2(15 + 5)
= 40 cm

Question 14.
What is the area of the circle? (Use 3.14 for π)

What is the circumference of the circle?
Answer:
Area = 50.24 sq in;
Circumference = 25.12 in.
Explanation:
Area of the circle = π r²
r = 4 cm
A = 3.14 x 4 x 4
A = 50.24 sq in
The circumference of the circle (Use 3.14 for π)
C = 2πr
r = d/2 = 8/2 = 4
C = 2 x 3.14 x 4
C = 25.12 in.

Question 15.
Identify each angle as obtuse, acute, or right.

Answer:

Explanation:
Any angle that is greater than 90° but less than 180° is known as obtuse angle.
If two rays intersect at a vertex, forming an angle that is less than 90° is known as Acute Angle.
Any angle that is greater than 90° but less than 180° is known as obtuse angle.

Question 16.
Identify each triangle as scalene, isosceles, or equilateral.

Answer:

Explanation:
A scalene triangle is a triangle in which all three sides are in different lengths,
and all three angles are of different measures.
The sum of all the interior angles is always equal to 180 degrees.
An equilateral triangle is a triangle with all three sides of equal length.
An Isosceles triangle is a triangle with two equal sides.

Calculate and reduce the fractions.

Question 17.
\(\frac{5}{12}\) × 168 = _____________
Answer:
70
Explanation:
\(\frac{5}{12}\)
= \(\frac{5 X 168}{12}\)
= \(\frac{840}{12}\)
= 70

Question 18.
(\(\frac{1}{3}\) × \(\frac{9}{14}\)) × \(\frac{14}{3}\) = ____________
Answer:
1
Explanation:
(\(\frac{1}{3}\) × \(\frac{9}{14}\)) × \(\frac{14}{3}\)
= \(\frac{9}{42}\) × \(\frac{14}{3}\)
= \(\frac{9 X 14}{42 X 3}\)
= \(\frac{126}{126}\)
= 1

Question 19.
\(\frac{56}{65}\) ÷ 14 = ______________
Answer:
\(\frac{4}{65}\)
Explanation:
\(\frac{56}{65}\) ÷ 14
= \(\frac{56 ÷ 14}{65}\)
= \(\frac{4}{65}\)

Question 20.
Give the coordinates for points on the grid.
A __________
B __________
C __________
D __________
What is the slope of a line drawn between points D and A?

Answer:
A(1,3); B(-3,6); C(2, -5); D(-2,-2); \(\frac{5}{3}\)

Explanation:
The Cartesian plane, is a plane with a rectangular coordinate system,
that associates each point in the plane with a pair of numbers.
In the cartesian plane is defined as a two-dimensional coordinate plane,
which is formed by the intersection of the x-axis and y-axis.
The x-axis and y-axis intersect perpendicular to each other at the point called the origin.
the co-ordinates are A(1,3); B(-3,6); C(2, -5); D(-2,-2);
Slope:
The slope formula is m=(y2-y1)/(x2-x1),
or the change in the y values over the change in the x values.
The coordinates of the first point represent x1 and y1.
The coordinates of the second points are x2, y2.
The slope of a line drawn between points D and A \(\frac{5}{3}\).
D(-2, -2); A(1, 3)
m = \(\frac{y2 – y1}{x2 – x1}\)
m = \(\frac{3 – (-2)}{1 – (-2)}\)
m = \(\frac{3+2}{1+2}\)
m = \(\frac{5}{3}\)

Question 21.
What is the measure of angle DBC?

Answer:
27 °.

Explanation:
The sum of the two angles in right angle is 90°.
63° + x = 90°
x = 90° – 63°
x = 27°

Question 22.

Answer:
1.7
Explanation:
0.35 x 1000 = 350
0.595 x 1000 = 595

Question 23.

Answer:
0.18653
Explanation:
0.5596 x 10000 = 5596
3 x 10000 = 30000

Question 24.
What is 30% of .802?
Answer:
0.2406
Explanation:
30% of 0.802
\(\frac{30}{100}\) x 0.802
= \(\frac{30 X 0.802}{100}\)
= \(\frac{24.06}{100}\)
= 0.2406

Question 25.
What is \(\frac{3}{8}\) of 96%
Answer:
36%
Explanation:
\(\frac{3}{8}\) of 96%
= \(\frac{3 x 96}{8}\)%
= 3 x 12 %
= 36%

Question 26.
Restate 5.625 as an improper fraction and a mixed number.
Improper Fraction ______________
Mixed Number ______________
Answer:
Improper Fraction = \(\frac{45}{8}\)
Mixed Number = 5\(\frac{5}{8}\)
Explanation:
5.625 by multiplying 1000 and divided by 1000 as shown below to get in to p/q form
\(\frac{5.625 x 1000}{1000}\)
= \(\frac{5625}{1000}\)
= \(\frac{45}{8}\)
convert into mixed fraction,
= 5\(\frac{5}{8}\)

Question 27.
Put the following numbers in order from least to greatest.
2.356, 1.3561, 3.56302, 2.5631, 2.35692, 1.35688, 2.5622, 1.599
Answer:
1.3561, 1.35688, 1.599, 2.356, 2.35692, 2.5622, 2.5631, 3.56302
Explanation:
Arrange all the given numbers in ascending order by placing whole numbers first,
then decimals number with the least digit according to their place values.

Question 28.
Solve for x: \(\frac{45}{64}\) = \(\frac{x}{192}\)
Answer:
135
Explanation:
\(\frac{45}{64}\) = \(\frac{x}{192}\)
x = \(\frac{45 X 192}{64}\)
x = \(\frac{8640}{64}\)
x = 135

Question 29.
Restate 2\(\frac{7}{25}\) as a decimal.
Answer:
2.28
Explanation:
Convert the given mixed fraction to improper fraction,
2\(\frac{7}{25}\)
= \(\frac{57}{25}\)
Convert improper fraction into decimal,
= 2.28

Question 30.
An item costs you $13.50 to produce. What price would you charge if you wanted to mark up the item by 20%?
Answer:
$16.20
Explanation:
An item costs you $13.50 to produce.
if wanted to mark up the item by 20%,
20% of $13.50
\(\frac{20}{100}\) x 13.50
= \(\frac{20 X 13.50}{100}\)
= \(\frac{270}{100}\)
= 2.7
total price he should charge = 13.50 + 2.7
= $16.20

Question 31.
Darma deposits $500 in a bank account that earns 2.5% simple interest. How much money will she have in the account after 1 year? ____________
After 2 years? ____________
Answer:
After 1 year $512.50;
After 2 years $525.00.
Explanation:
Simple Interest SI = PTR/100
Principal = $500
Time T = 1 year
Rate of interest R = 2.5%
SI = (500 x 1 x 2.5)/100
SI = 1250/100
SI = 12.5
Amount after one year = $500 + $12.5
= $512.5
now
Principal = $512.5
Time T = 1 year
Rate of interest R = 2.5%
SI = (512.5 x 1 x 3)/100
SI = $12.8125
Amount after one year = $512.5 + $12.8125
= $525.3125 = $525

Question 32.
Identify each quadrilateral.

Answer:

Explanation:
A Square is a simple polygon with 4 equal sides and 4 right angles.
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
The two sides at each corner or vertex meet at the right angles.
The opposite sides of the rectangle are equal in length which makes it different from a square.
Rhombus is a quadrilateral with all equal sides.
Since opposite sides of a parallelogram are equal.
So, Rhombus is a special type of a parallelogram whose all sides are equal.
A kite is a flat shape with 4 straight sides that has two pairs of sides,
which are two adjacent sides that are equal in length.
A trapezoid is a flat closed shape having 4 straight sides,
with one pair of parallel sides.

Question 33.
Restate 4\(\frac{11}{13}\) as an improper fraction.
Answer:
\(\frac{63}{13}\)
Explanation:
To convert mixed fraction to improper fraction,
multiply the denominator with whole number and,
then add the numerator.
4\(\frac{11}{13}\)
= \(\frac{63}{13}\)

Question 34.
Restate \(\frac{73}{13}\) as a mixed number.
Answer:
5\(\frac{8}{13}\)
Explanation:
Convert improper fraction to mixed fraction, \(\frac{73}{13}\)
write the quotient as whole number and remainder as numerator..
quotient = 5
Remainder = 8
5\(\frac{8}{13}\)

Question 35.
\(\frac{6}{7}\) – \(\frac{2}{7}\) + \(\frac{5}{7}\) + \(\frac{3}{7}\) – \(\frac{1}{7}\) = ____________
Answer:
\(\frac{11}{7}\) or 1\(\frac{4}{7}\)
Explanation:
\(\frac{6}{7}\) – \(\frac{2}{7}\) + \(\frac{5}{7}\) + \(\frac{3}{7}\) – \(\frac{1}{7}\)
When all the denominators are same add or subtract the numerators.
\(\frac{(6 – 2 + 5 + 3 – 1)}{7}\)
= \(\frac{11}{7}\) or 1\(\frac{4}{7}\)

Question 36.
\(\frac{15}{16}\) × 3\(\frac{1}{5}\) = _____________
Answer:
3
Explanation:
\(\frac{15}{16}\) × 3\(\frac{1}{5}\)
convert mixed fraction to improper fraction
= \(\frac{15}{16}\) × \(\frac{16}{5}\)
= \(\frac{15 X 5}{16 X 16}\)
= \(\frac{75}{256}\)
= 0.29 = 3

Question 37.
10⁷ × 10² = ______________
Answer:
10⁹
Explanation:
a^m x aⁿ = a^{m + n}
10⁷ x 10² = 10⁷⁺²
= 10⁹

Question 38.
4⁶ ÷ 4² = ______________
Answer:
4⁴
Explanation:
a^m ÷ aⁿ = a^{m – n}
4⁶ ÷ 4² = 4^{6 – 2} = 4⁴
a⁴ = a x a x a x a
4⁴ = 4 x 4 x 4 x 4
= 16 x 16
= 256

Question 39.
What is 15²?
Answer:
225
Explanation:
a² = a x a
15² = 15 x 15
= 225

Question 40.
What is the square root of 169?
Answer:
13
Explanation:
The square root of 169 is expressed as √169 in the radical form
and as (169)^½ or (169)^0.5 in the exponent form.
The square root of 169 is 13.
It is the positive solution of the equation x² = 169.
The number 169 is a perfect square.

Question 41.
What is the mode of the data distribution?

What is the median?
Answer:
Mode = 57
Median = 57
Explanation:
32, 33, 42, 43, 46, 48, 54, 57, 57, 57, 61, 62, 64, 64, 66, 71, 74
Mode : mode is the number that appears most frequently in the collection of data.
In the above stem and leaf data 57 is observer 3 number of times,
mode is 57

Median : the median is the number in the middle. if the collection of data has an even numbers of addends, then the median is the average of the two middle numbers.

Question 42.
What is the range of the data in the box and-whisker plot?

Answer:
Range = 20
Explanation:

The range difference between the upper extreme to lower extreme
Range = 25 – 5 = 15

Question 43.
What fruit is the least preferred by the students? ____________
What is the second most preferred fruit? _______________

Answer:
The least fruit preferred by the students is Pineapple.
The second most preferred fruit by the students is Banana.
Explanation:
A pie chart is a pictorial representation of data in circular statistical graphic, which is divided into slices to illustrate numerical proportion.

In a pie chart, the arc length of each slice is proportional to the quantity it represents
The least fruit preferred by the students is Pineapple.
The second most preferred fruit by the students is Banana.

Question 44.
Clarence collected about 5 more stamps than what person? Who collected the second fewest stamps?

Answer:
Frank;
Barton.
Explanation:
Above Stamp collecting chart,
Clarence collected 55 stamps,
Clarence collected about 5 more stamps than Frank.
Barton collected 45 stamps and stood in the second fewest pace.

Question 45.
How many possible combinations are there?

Answer:
18
Explanation:
If an event can occur in ‘m’ different ways following,
which another event can occur in ‘n’ different ways,
following which a third event can occur in ‘p’ different ways.
The total number of occurrence to the events in the given order is m x n x p.
3 Breads,
3 Cold cuts,
3 Cheese
2 x 3 x 3 = 18
18 different combinations are possible from the choices.

Question 46.

Name two pairs of alternate interior angles.
___________ and ___________
___________ and ___________
Name two pairs of alternate exterior angles.
___________ and ___________
___________ and ___________
Name a pair of vertical angles.
___________ and ___________
Name two pairs of supplementary angles.
___________ and ___________
___________ and ___________
Answer:
Alternate interior angles:
\(\angle{D}\) and \(\angle{F}\);
\(\angle{E}\) and \(\angle{C}\).
Alternate exterior angles:
\(\angle{A}\) and \(\angle{G}\);
\(\angle{B}\) and \(\angle{H}\).
Vertical angles:
\(\angle{A}\) and \(\angle{C}\);
\(\angle{B}\) and \(\angle{D}\);
\(\angle{E}\) and \(\angle{G}\);
\(\angle{F}\) and \(\angle{H}\).
Supplementary angles:
\(\angle{A}\) and \(\angle{B}\);
\(\angle{B}\) and \(\angle{C}\);
\(\angle{A}\) and \(\angle{D}\);
\(\angle{F}\) and \(\angle{G}\);
\(\angle{D}\) and \(\angle{F}\);
\(\angle{G}\) and \(\angle{H}\);
\(\angle{H}\) and \(\angle{E}\);
\(\angle{H}\) and \(\angle{A}\).
\(\angle{G}\) and \(\angle{B}\);
\(\angle{E}\) and \(\angle{B}\).
\(\angle{F}\) and \(\angle{A}\).
Explanation:
Alternate interior angles:
The two angles, formed when a line crosses two other lines,
that lie on opposite sides of the transversal line and on opposite relative sides of the other lines.
If the two lines crossed are parallel, the alternate angles are equal
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
The transversal crosses through the two lines which are Coplanar at separate points.
Alternate exterior angles:
The term alternate exterior angles is often used when two lines are cut by a third line, a transversal .
The Alternate Exterior Angles Theorem states that if k and l are parallel ,
then the pairs of alternate exterior angles are congruent .
Vertical angles:
Vertical angles are angles opposite each other where two lines cross.
Supplementary angles:
The two angles or arcs whose sum is 180 degrees.

Question 47.
Use the Pythagorean Theorem to find the value of x.

Answer:
8
Explanation:

AC² = AB² + BC²
10² = x² + 6²
100 – 36 = AB²
AB² = 64
AB = 8
x = 8

Question 48.
Name 2 line segments.

Name 4 rays. ______________
Name a line. ______________
Answer:
Line segments:
\(\overline{AB}\), \(\overline{AF}\), \(\overline{AC}\), \(\overline{DB}\),\(\overline{BE}\), \(\overline{HG}\);
Rays:
\(\overline{AF}\), \(\overline{AC}\), \(\overline{BE}\), \(\overline{BD}\),
\(\overline{AB}\), \(\overline{BA}\);
Line:
\(\overline{AB}\)
Explanation:
A line segment is part of a line that has two endpoints and is finite in length.
A ray is a line segment that extends indefinitely in one direction.
A line has no end points.

Calculate the volume and surface area of the figures

Question 49.

Volume _____________
Surface Area ____________
Answer:
Volume = 24 cu in;
Surface Area = 52 sq in.
Explanation:
Volume = length x width x height
V = 2 x 4 x 3
V  = 24 cu in;
Surface Area = 2(lxw + wxh + hxl)
SA= 2(2×4 + 4×3 + 3×2)
SA = 2(8 + 12 + 6)
SA = 52 sq in.

Question 50.

Volume _____________
Surface Area ____________
Answer:
Volume = 288π cu units;
Surface Area = 168π sq units.
Explanation:
Volume = πr² h cu in
V = π 6² 8
V = π x 36 x 8
V = 288π cu in
Surface Area (SA)= 2πrh + 2πr²  sq in
SA = 2π x 6 x 8 + 2π 6²  sq yd
SA = 168π sq in

Question 51.

Volume ______________
Answer:
Volume = \(\frac{40}{3}\)π cubic units.
Explanation:
Volume of cone V= π r²h(1/3)
V = π 2²x 10 (1/3)
V = π 4 x 10 x 1/3
V = \(\frac{40}{3}\)π cu units;

Question 52.
Estimate the value of \(\sqrt{140}\) __________. Of \(\sqrt{48}\) ____________
Answer:
Estimate: 11.8;
6.9
Explanation:
\(\sqrt{140}\)
11 x 11 = 121
12 x 12 = 144
\(\sqrt{140}\) can estimate as nearer to 12
\(\sqrt{140}\) = 11.8
\(\sqrt{48}\)
6 x 6 = 36
7 x 7 = 49
\(\sqrt{48}\) can estimate as nearer to 7
\(\sqrt{48}\) = 6.9

Question 53.
Convert \(0 . \overline{573}\) to a fraction.
Answer:
\(\frac{573}{999}\) = \(\frac{191}{333}\)
Explanation:
\(0 . \overline{573}\)
Let
x = 0.573573573573 …….  Eq(1)
by multiplying 1000 on both sides
1000 x = 573.573573573…….Eq(2)
by subtracting Eq(1) from Eq(2) as shown below

999 x = 573
= \(\frac{573}{999}\)
Dividing both the numerator and denominator by 3
= \(\frac{573÷3}{999÷3}\)
= \(\frac{191}{333}\)

Question 54.
Solve 3(2x + 4) = 6(x + 2).
Answer:
Infinite solutions.
Explanation:
3(2x + 4) = 6(x + 2).
a(b+c) = a x b + a x c Distributive property
3(2x + 4) = 6(x + 2).
6x + 12 = 6x + 12
6x – 6x = 12 – 12
Infinite solutions.

Question 55.
Solve 26x + 4 = 6 + 26x – 3.
Answer:
No solutions.
Explanation:
26x + 4 = 6 + 26x – 3.
26x – 26x = 6 – 3 – 4
26x – 26x = 6 – 7
0 = – 1   No solutions.

Question 56.
Complete and graph the function table for y = x². Is it a linear or nonlinear function?

Answer:
Non Linear
Explanation:
A non-linear equation is such which does not form a straight line.
It looks like a curve in a graph and has a variable slope value.

Question 57.
Look at the graph below.

The function is increasing between points _______________
The function is decreasing between points _______________
Answer:
The function is increasing between points A and B;
The function is decreasing between points B and C.
Explanation:
The function is increasing between points A and B
y value is  increasing from negative to positive
i.e from third quadrant to second quadrant.
The function is decreasing between points B and C.
y value is  decreasing from positive to negative
i.e from  second quadrant to third quadrant

Question 58.
How many times greater is 12 × 10³ than 4 × 10²?
Answer:
30
Explanation:
\(\frac{12 × 10³}{4 x 10²}\)
= 3 x 10^3-2
= 3 x 10
= 30

Question 59.
Are these polygons similar? _____________ If so, what is the scale factor? _____________

Answer:
Yes,
Explanation:
Larger is 6 times bigger than the smaller.
Explanation:

So, when two polygons are similar,
then the ratio of the lengths of any two corresponding sides is called the scale factor.
This means that the ratio of all parts of a polygon is the same as the ratio of the sides.
using the figure above, the simplified ratios of the lengths of the corresponding sides of the similar trapezoids is the scale factor.
\(\frac{PQ}{AB}\) = \(\frac{90}{15}\) = 6
\(\frac{PR}{AC}\) = \(\frac{42}{7}\) = 6
Larger is 6 times bigger than the smaller.

Question 60.
What type of transformation is shown below?

Answer:
Translation:
Explanation:
A translation occurs when we take a figure and make an identical duplicate figure of it.
We can move the figure from left to right or bottom to top or up down.