Lesson Quiz 6-1 and 6-2

How do the points of a figure move in a translation?

• Same distance and different direction

• Same distance and same direction

• Different distance and different direction

• Different distance and same direction

Is Figure A'B'C'D' a translation of Figure ABCD? Explain.

• • Yes; it is translated 2 units left and 2 units up.

• Yes; it is translated 1 unit left and 3 units up.

• Yes; it is translated 3 units left and 1 unit up.

• • No; the two figures are oriented differently.

Describe the translation of figure ABCD. Complete the sentence to explain your answer.

Figure ABCD is translated (a)   unit(s) right and ​ (b)   unit(s) up.

• 3
• 1
• 2
• 4
• -1
• -3
• -4
• -2

What is the rule that describes the translation that maps △LMN onto △L'M'N'?

• 3 units right and 4 units up

• 3 units left and 4 units up

• 3 units right and 4 units down

• 3 units left and 4 units down

Which figure is a translation of Figure 1?

• Figure A

• Figure B

• Figure C

• None of the above

Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain.

• • Yes; it is a reflection over the x-axis.

• • Yes; it is a reflection over the y-axis.

• • Yes; it is a reflection over line f.

• • No; it is not a reflection.

Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis?

• • Only the x-values remain the same.

• • Only the y-values remain the same.

• • Both the x- and y-values remain the same.

• • Both the x- and y-values change.

If ΔSTU is reflected over the y-axis, what are the coordinates of the vertices of ΔS’T’U’? Fill in the spaces with the correct coordinates.

S'(​​ _ , _​ ), T' (​ _ , ​_ ), U' ( _ , _ )

ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?

• • A reflection over the line x = 2.

• • A reflection over the line y = 3.

• • A reflection over the line x = 3.

• • A reflection over the y-axis.

The vertices of Figure ABCD are A(1, 1), B(2, 3), C(4, 3), and D(5, 1). If Figure ABCD is reflected over the line y = –1, find the coordinates of vertex B’.

B' (​ (a)   ,​ (b)   )

• 2
• -5
• -3
• 1
• 4
• -4
• -2