Similar Figures Direct Measurement

Tell whether the figures are similar.

• Yes; the triangles are similar because the angles are equal and the sides are proportional.

• Yes; the triangles are similar because the angles and sides are proportional.

• No; the triangles are not similar because the angles are not equal and the sides are not proportional.

• No; the triangles are not similar because the angles are equal but the sides are not proportional.

ΔABC∼ΔXYZ. Find the unknown measures.

• d = 25.5^o; z = 25 m

• d = 64.5^o; z = 9 m

• d = 64.5^o; z = 25 m

• d = 25.5^o; z = 9 m

Tell whether the triangles are similar.

• Yes; the triangles are similar because the angles are equal and the sides are proportional.

• Yes; the triangles are similar because the angles and sides are proportional

• No; the triangles are not similar because the angles are not equal and the sides are not proportional.

• No; the triangles are not similar because the angles are equal but the sides are not proportional.

Redon is 6 ft 2 in. tall, and his shadow is 4 ft 1 in. long. At the same time, a building casts a shadow that is 19 ft 10 in. long. What is the height of the building? Round to the nearest foot.

• 360 in

• 30 ft

• 2 ft

• 30 in

• A

• B

• C

• D

Figure JKLM is similar to figure PQRS.

Which proportion must be true for

these figures?

• 
• 
• 
• 

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Figure ABCDE is similar to figure VWXYZ.

Tell whether the two figures are congruent or similar.

• Congruent, because their sides are the same.

• Congruent, because their sides are proportional.

• Similar, because their sides are the same.

• Similar, because their sides are proportional.

• They are not congruent or similar.