Geometry Final Review

Identify the transformation from C to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 360^o Rotation

Which rule describes rotating 180° clockwise?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( x, y )

• ( x, y ) → ( -y, x )

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

Which sequence of transformations is used to transform the original image to the final image? Original: ABCD Final: A" B" C"D"

• Reflect over the x-axis and then rotate clockwise 90 around the origin.

• Rotate counterclockwise 90 around the origin and then translate 8 units left.

• Reflect over the y-axis and then rotate counterclockwise 90 around the origin.

• Rotate clockwise 90 around the origin and then translate 8 units left.

Which transformations could be used to transform from the original image to the final image?

• Translate 7 units up.

• Translate 8 units right.

• Rotate 90 counterclockwise around the origin

• Rotate 180 around the origin.

• Translate 5 units down.

Ronnie performed a series of rigid transformations on Figure 1. The result of the transformations is Figure 2 as shown on the coordinate grid. What is the sequence of transformations that Ronnie followed so that Figure 1 lies exactly on top of Figure 2?

• a reflection across the x-axis and then a translation of 6 units to the right and 3 units up.

• a 90 counterclockwise rotation about the origin and then a translation of 5 units left and 3 units down

• a reflection across the y-axis and then a translation of 5 units to the left and 5 units down

• a 270 counter-clockwise rotation about the origin and then a reflection across the x-axis

A(-5, -1) L(-3, -2) T(-3, 2)
Rotate triangle ALT 180° clockwise about the origin, then reflect over the line x=1.

• A'' (5, 1) L''(3, 2) T''(3, -2)

• A'' (3, 1) L''(1, 2) T''(1, -2)

• A'' (5, -1)
  L''(3, -2)
  T''(3, 2)

• A'' (-3, 1)
  L''(-1, 2)
  T''(-1,-2)

Find the measure of angle 1.

• 28^o

• 136^o

• 44^o

• 6^o

What is the value of x?

• 22

• 26

• 24

• 23

Solve for the value of x.

• 55

• 60

• 65

• 70