Similarity and Congruence Proportions

Are the two figures similar?

• yes

• no

When talking about figures on a coordinate plane, what does "congruent" mean?

• Same shape, same size

• Same shape, size changes

• Different shape, different size

• Same shape, different size

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

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

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.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

• T

• ∠T

• ∠M

• ∠L

Are the triangles similar? Explain.

• No, because only one angle of the triangles is congruent.

• Yes, because two of the angles are congruent.

• No, because only one triangle has a right angle.

• Not enough information to determine.

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

• x = 20

• x = 12

• x = 5

• x = 4