Transformations End Assessment A

The point (1, -3) is shown on the graph. What are the coordinates of the point after a reflection using the x-axis?

• (-1, -3)

• (1, 3)

• (3, -1)

• (-3, 1)

Which of these sequences of transformations does NOT return a shape to its original position?

• Translate 3 units up, then 3 units down.

• Reflect over line p, then reflect over line p again.

• Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

• Rotate 120° counterclockwise around center C. Then rotate 120° counterclockwise around C again.

Juan and Zahra each made a design using 5 circles. Select all of the true statements.

• The smallest circle in Juan's design is congruent to the smallest circle in Zahra's design.

• Juan’s design is congruent to Zahra’s design.

• If you translate Juan's design 14 units to the right, you get Zahra's design.

• Each circle in Juan's design has a congruent circle in Zahra's design.

Use translations, rotations, and/or reflections to explain how you know that polygon 𝐴 is congruent to polygon 𝐵.

• If polygon 𝐴 is rotated 90° counterclockwise around its far right point and then translated 4 units to the right, it matches up perfectly with polygon 𝐵.

• If polygon 𝐴 is rotated 90° clockwise around its far right point and then translated 4 units to the right, it matches up perfectly with polygon 𝐵.

• If polygon 𝐴 is rotated 180° counterclockwise, it matches up perfectly with polygon 𝐵.

• If polygon A is translated 7 units to the right then 2 units down, it matches up perfectly with polygon B.

Is shape 𝐴 congruent to shape 𝐵? Explain your reasoning using translations, rotations, and/or reflections.

• Yes. If a trace shape A. I can reflect shape 𝐴, rotate it, and then translate it onto shape 𝐵.

• No. If i trace shape A. I can't reflect shape A, or rotate it, and then translate it onto shape B.

Is shape 𝐴 congruent to shape 𝐵?

• The shapes look congruent, but when shape 𝐴 is moved on top of shape 𝐵 with a 90° clockwise rotation and a translation, they do not match up.

• The shapes are congruent, because when I move it on top of shape B with a 90° clockwise rotation and a translation, they match up.

What is the measure of ∠2?

• 38
• 58
• 71
• 142

What it the measurement for angle 9?

• 140^o

• 180^o

• 40^o

• 160^o

Lines 𝐴𝐵 and 𝐶𝐷 are parallel. Determine the measures of the three angles in the diagram.

a

b

c

To create this diagram: Triangle 𝐴𝐵𝐶 was translated so that 𝐴 goes to 𝐶. Then triangle 𝐴𝐵𝐶 was translated so that 𝐴 goes to 𝐵.

Select all that apply.

• Triangle ABC is congruent to CEF.

• Triangle ABC is congruent to BDE

• Angle ABC is congruent to angle BDE, corresponding angles in congruent figures have the same measure

• Angle ABC is congruent to CEF because corresponding angles in congruent figures have the same measure