Transformational Geometry Quiz + Angle Relationships

Which sequence of transformations maps quadrilateral ABCD to quadrilateral A'B'C'D'?

• Reflection over the y-axis, followed by translation 1 unit right

• Rotation 90 degrees counter-clockwise, followed by translation 2 units down

• Translation 3 units left, followed by dilation by a scale factor of ½

• Dilation by a scale factor of ½, followed by reflection over the y-axis

In the image, two parallel lines are cut by a transversal. What is the measure of angle A, and why?

• The measure of angle A is 110° because it is congruent to the 110° angle

• The measure of angle A is 70° because it is supplementary to the 110° angle

• The measure of angle A is 70° because it is vertical from the 110° angle

Which sequence of transformations will map ∆ABC to its congruent image ∆A'B'C'?

• A translation 8 units left, followed by a reflection over the x-axis

• A rotation 90 degrees clockwise, followed by a translation 2 units up

• A reflection over the y-axis, followed by a translation 2 units down

• A reflection over the y-axis, followed by a translation 2 units up

• (2, 5)

• (5, 2)

• (10, 4)

• (4, 10)

Two lines intersect as shown. Determine the value of x.

• 5

• 15

• 19

• 23

Which statement is true about the relationship between rectangle ABCD and rectangle WXYZ?

• 
• 
• 
• 

Refer to the image for the question...

• A

• B

• C

• D

Which sequence of rigid transformations will map ΔXYZ to its congruent image ΔX'Y'Z'?

• A reflection over the x-axis, followed by a translation 2 units down and 3 units right

• A reflection over the x-axis, followed by a translation 2 units up, and 3 units left

• A 90° rotation clockwise about the origin, followed by a translation 2 units down

• A 90° rotation clockwise about the origin, followed by a translation 2 units up

Which equation and explanation are true, according to the image?

• 13x + 6 + 11x + 30 = 180, because the angles are supplementary

• 13x + 6 + 11x + 30 = 90, because the angles are complementary

• 13x + 6 = 11x + 30, because the angles are corresponding

• 13x + 6 = 11x + 30, because the angles are alternate interior

In the image, there are parallel lines cut by a transversal with arcs highlighting angle pairs. Correctly label each highlighted pair according to its congruent relationship.

a

b

c

d

Vertical Angles

Corresponding Angles

Alternate Exterior Angles

Alternate Interior Angles