Question

1. which transformation could be used to model the motion of an object sliding across a table?

a. reflection
b. dilation
c. rotation
d. translation

1. what is the new position of a point after it is translated 6 units left and 3 units up from (8, 5)?

a. (2, 2)
b. (14, 8)
c. (2, 8)
d. (14, 2)

1. if a figure is first rotated and then its size is doubled, which transformations has it undergone?

a. rotation and translation
b. translation and dilation
c. reflection and translation
d. rotation and dilation

1. which of the following transformations maintain the figure’s orientation?

a. reflection
b. translation
c. rotation

1. which of the following best describes a rotation?

a. a turn around a point
b. an increase in size
c. a shift straight to the side

Explanation:

Question 11

An object sliding across a table moves without rotation, reflection, or size change. Translation is a slide without rotation/reflection. Reflection flips, dilation resizes, rotation turns—so translation (d) fits.

Step1: Translate x - coordinate (left: subtract)

Original x = 8, translate 6 left: \( 8 - 6 = 2 \)

Step2: Translate y - coordinate (up: add)

Original y = 5, translate 3 up: \( 5 + 3 = 8 \)

Rotation is turning the figure. Doubling size is dilation (resizing). The steps are rotation then dilation, so option d (Rotation and dilation) matches.

Answer:

d. Translation

Question 12