Similar Triangle Coordinate Plane

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)

• (x+2, y-9)

• (x-2, y-9)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

• (-3, 3)

• (-12, 12)

• (-2, 2)

The vertices of △ ABC are located at A(4,8), B(8,0), and C(-8,4). Which sequence of transformations of △ ABC results in △ A′′B′′C′′?

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

Which statement about the triangles at the right is true?

• ΔABC is not similar to ΔADF

• ΔABC is similar to ΔADF

• ∠BAC is not congruent to ∠DAF

• ΔABC is congruent to ΔADF

Are these triangles similar?

• Yes

• No, they are congruent

• There is not enough information to determine this

• No, they are not similar nor congruent

Complete the similarity statement below.

ΔUVW~Δ​ (a)  

• UQR

• QUR

• URQ

• QRU

• RUQ

• RQU

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

∆ABC is ​ (a)   ∆DEF, because angle A is ​ (b)   to angle E and the sides are​ (c)  

• not similar

• congruent

• not proportional

• similar

• a dilation of

• proportional