# Texas Go Math Grade 8 Module 13 Answer Key Dilations, Similarity, and Proportionality

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## Texas Go Math Grade 8 Module 13 Answer Key Dilations, Similarity, and Proportionality

Write each ratio in the simplest form.

Question 1.
$$\frac{6}{15}$$ ____________
To write a ratio in simplest form, find the greatest factor of the numerator and denominator.
$$\frac{6}{15}=\frac{6 \div 3}{15 \div 3}$$ (Divide the numerator and denominator by the GCF)
= $$\frac{2}{5}$$

Question 2.
$$\frac{8}{20}$$ ____________
To write a ratio in simplest form, find the greatest factor of the numerator and denominator.
$$\frac{8}{20}=\frac{8 \div 4}{20 \div 4}$$ (Divide the numerator and denominator by the GCF)
= $$\frac{2}{5}$$

Question 3.
$$\frac{30}{18}$$ ____________
To write a ratio in simplest form, find the greatest factor of the numerator and denominator.
$$\frac{30}{18}=\frac{30 \div 6}{18 \div 6}$$ (Divide the numerator and denominator by the GCF)
= $$\frac{5}{3}$$

Question 4.
$$\frac{36}{30}$$ ____________
To write a ratio in simplest form, find the greatest factor of the numerator and denominator.
$$\frac{36}{30}=\frac{36 \div 6}{30 \div 6}$$ (Divide the numerator and denominator by the GCF)
= $$\frac{6}{5}$$

Find the perimeter.

Question 5.
square with sides of 8.9 cm

Question 6.
rectangle with length 5$$\frac{1}{2}$$ ft and width 2$$\frac{3}{4}$$ ft

Question 7.
equilateral triangle with sides of 8$$\frac{3}{8}$$ in.

Find the area.

Question 8.
Square with sides of 6.5 cm: ___________

Question 9.
Triangle with base 10 in. and height 6 in.:

Question 10.
Rectangle with length 3$$\frac{1}{2}$$ ft and width 2$$\frac{1}{2}$$ ft:

Visualize Vocabulary

Use the ✓ words to complete the graphic organizer. You will put one word in each rectangle.  Understand Vocabulary

Complete the sentences using the review words.

Question 1.
A figure larger than the original, produced through dilation, is an ____________ 