Similarity and Congruence Basics

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

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

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.

Solve for x

• x=6

• x =1/6

• x = 7

• x=9

∆ABC≅∆XYZ
which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

Are the two figures similar?

• yes

• no

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

• Dilation

• Translation, Reflection, Rotation

• Dilation and Translation

• Dilation and Reflection

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

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

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

• x = 1

• x = 3

• x = 9

• x = 5

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

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft