McGraw Hill Math Grade 7 Lesson 26.1 Answer Key Triangles

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McGraw-Hill Math Grade 7 Answer Key Lesson 26.1 Triangles

Exercises

IDENTIFY

Label the triangle as acute, right, or obtuse.

Question 1.

Answer:
Acute Angle,
Explanation:
An angle which is measuring less than 90 degrees is called an acute angle.
This angle is smaller than the right angle (which is equal to 90 degrees).
For example, ∠30^o, ∠45^o, ∠60^o, 75^o, etc. are all acute angles.

Question 2.

Answer:
Obtuse Angle,
Explanation:
The definition of an obtuse angle in geometry states that,
an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Question 3.

Answer:
Right Angle,
Explanation:
x° = 60°
A right angle is an angle of 90°.
When two rays intersect and form a 90˚ angle or are perpendicular to each other,
at the intersection, they are said to form a right angle.

Question 4.

Answer:
Right Angle,
Explanation:
A right angle is an angle of 90°.
When two rays intersect and form a 90˚ angle or are perpendicular to each other,
at the intersection, they are said to form a right angle.

Question 5.

Answer:
Acute Angle,
Explanation:
An angle which is measuring less than 90 degrees is called an acute angle.
This angle is smaller than the right angle (which is equal to 90 degrees).

Question 6.

Answer:
Obtuse angle,
Explanation:
The definition of an obtuse angle in geometry states that,
an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Label the triangle as equilateral, isosceles, or scalene.

Question 7.

Answer:
Isosceles,
Explanation:
An isosceles triangle is a triangle with two equal sides.
In the figure above, the two equal sides have same length.
An Isosceles triangle therefore has both two equal sides and two equal angles.

Question 8.

Answer:
Equilateral,
Explanation:
An equilateral triangle is a triangle with all three sides of equal length.
Total sum of triangle = 180°.
Given 2 angles = 60° + 60° = 120°.
Third angle = 180° – 120° = 60°.
Hence, the given angle is Equilateral triangle.

Question 9.

Answer:
Scalene Triangle,
Explanation:
All angles of a scalene triangle are unequal, all are of different size.
A scalene triangle has no line of symmetry.
The angle opposite to the longest side would be the greatest angle and vice versa.
All sides of the given scalene triangle are unequal.