Study Guide Test #4

The coordinate of M' is (-4, -2). What was the transformation?

• Rotation 90 degrees clockwise.

• Rotation 90 degrees counterclockwise.

• Reflection over y-axis.

• Reflection over x-axis.

The coordinate of N'' after a reflection over the y-axis and a translation along a vector is N''(0, -2). What was the vector of the translation?

• <-2, 0>

• <1, 2>

• <-1, -4>

• <-4, -1>

Tags

CCSS.8.G.A.3

Figure C can map to Figure D with only a rotation. Explain why this is not possible to map Figure E to Figure D with only a rotation. Choose the two correct answers.

• You can only go clockwise.

• You would also need a translation.

• You would also need a reflection.

• Figure E would be facing the wrong direction (not lined up).

Choose the two combinations that would map Figure F to Figure E.

• Rotate 90 degrees clockwise then translate.

• Rotate 90 degrees counterclockwise then translate.

• Rotate 90 degrees clockwise, reflect horizontally, reflect vertically, then translate.

• Rotate 90 degrees counterclockwise, reflect horizontally, reflect vertically, then translate.

Triangle ABE ≅ triangle CBD. Angle E is 6x - 8 and angle D is 5x + 1. How many degrees is angle D?

• 9 degrees

• 54 degrees

• 46 degrees

• 45 degrees

Triangle ABE ≅ triangle CBD. AB = 18x - 5, AE = 15x + 7, and

BC = 4x + 23. How long is side AB?

• 2

• 31

• 13

• 37

These two shapes are congruent. Quadrilateral ABCD is congruent to:

• Quadrilateral XYZW

• Quadrilateral XWZY

• Quadrilateral ZWXY

• Quadrilateral ZYXW

Which figure is not congruent to the other three?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

What two transformations would map figure 4 to figure 1?

• Reflection over y-axis, then translation up and left.

• Reflection over x-axis, then translation up and left.

• Reflection over y-axis, then translation down and right.

• Reflection over x-axis, then translation down and right.

What single transformation maps figure 1 to figure 2?

• translation along vector <-5, -1>

• translation along vector <-5, 1>

• translation along vector <5, -1>

• translation along vector <5, 1>