Unit 2 Dilations and Similarity

Which is the scale factor in the dilation?

• 2

• 2

• 
• 
• 
• 

What is the last transformation?

• reflected about the x-axis

• translated 10 units down

• rotated 90° clockwise

• rotated 180° counterclockwise

What is the measurement of side x?

• 50 inches

• 55 inches

• 60 inches

• 65 inches

What sequence of transformations did Tristan use to produce triangle A'B'C'?

• a rotation 90° counterclockwise about the origin and then a translation 2 units up

• a rotation 270° counterclockwise about the origin and then a translation 2 units down

• a dilation using a scale factor of 2 and then a reflection across the y-axis

• 30°

• 50°

• 100°

• 130°

Which sequence of transformations will prove that triangle PQR is congruent to P'Q'R'?

• a rotation of 180°clockwise about the origin

• a reflection across the x-axis and then across the y-axis

• a reflection across the y-axis followed by a 90° clockwise rotation about the origin

• a reflection across the x-axis followed by a 90° clockwise rotation about the origin

Which sequence of transformations shows that Figure 1 is congruent to Figure 2?

• Figure 2 is obtained by reflecting Figure 1 across the x-axis and then translating it 2 units right and 8 units up.

• Figure 2 is obtained by reflecting Figure 1 across the x-axis and then translating it 2 units left and 8 down.

• Figure 2 is obtained by reflecting Figure 1 across the y-axis and then translating it 2 units right and 8 units up.

• Figure 2 is obtained by reflecting Figure 1 across the y-axis and then translating it 2 units left and 8 units down.

• Rotate △XYZ clockwise 90° about the origin; translate 10 units down.

• Rotate △XYZ clockwise 180° about the origin; translate 1 units up.

• Rotate △XYZ counterclockwise 90° about the origin; translate 10 units down.

• Rotate △XYZ counterclockwise 180° about the origin; translate 1 units up.

If the two triangles are similar, what is the length of side b?

• 4 m

• 5 m

• 6 m

• 7 m