Similarity and Proportional Reasoning

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

Are these triangles similar?

• Yes

• No

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

Solve for x

• x=6

• x =1/6

• x = 7

• x=9

Are the two figures similar?

• yes

• no

Which transformation(s) create(s) similar figures?

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

A pentagon graphed on a coordinate plane underwent a rotation about the origin, a reflection across the y–axis, a translation down, and a dilation with a scale factor of 3 from its center to produce another pentagon. Which of these statements is true about the original pentagon and the new pentagon?

• They are similar.

• They may or may not be similar, depending on the number of units translated.

• They may or may not be similar, depending on the number of degrees rotated.

• They are not similar.

The pair of figures is similar. Find the missing side length.

• x = 10

• x = 4

• x = 2

• x = 5

Find missing side length of the similar triangles

• 5

• 7

• 9

• 11