End-of-Unit STUDY GUIDE - Unit 8.1

The point (3, -2) is shown on the graph. What are the coordinates of the image of this point after a reflection across the y-axis?

• (-2, -3)

• (2, -3)

• (3, 2)

• (-3, -2)

Tags

CCSS.6.NS.C.8

Which of these sequences of transformations will always return a figure to its original position?

• Reflect over line m, then reflect over line m again.

• Translate 2 units up, then translate 2 units up again.

• Rotate 90° counterclockwise around point B. Then rotate 90° counterclockwise around point B again.

• Rotate 100° counterclockwise around point B. Then rotate 80° counterclockwise around point B.

Omari and Eva each made a design using four triangles. Select all of the true statements.

• The largest triangle in Omari’s design is congruent to the largest triangle in Eva’s design.

• Each triangle in Omari’s design has a congruent triangle in Eva’s design.

• If you translate Omari’s design 10 units to the right, you get Eva’s design.

• Omari’s design is congruent to Eva’s design.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

Which transformation sequence will make polygon A congruent to polygon B?

• Rotate polygon A 180° counterclockwise around its bottom-right point and then translate 4 units to the right.

• Reflect polygon A over the y-axis and then translate 2 units up.

• Rotate polygon A 90° clockwise around its center and then translate 3 units to the left.

• Translate polygon A 5 units down and then reflect over the x-axis.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

Is figure C congruent to figure D?

• Yes, they are congruent.

• No, they are not congruent.

Tags

CCSS.4.G.A.2

Is figure E congruent to figure F?

• Yes, because I can reflect and rotate figure E, and then translate it onto figure F.

• No, because figure E and figure F are not identical.

• Yes, because figure E and figure F do not have the same area.

• No, because figure E and figure F have different shapes.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

Lines AB and CD are parallel. Determine the measures of the three missing angles in the diagram. (Angles are <FBA, <CFD, and <CDF)

• 37°, 112°, and 31°

• 31°, 47°, and 143°

• 31°, 37°, and 149°

• 33°, 31°, and 143°

Tags

CCSS.7.G.B.5

Triangle JKL was translated so that point J moved onto point L. Triangle JKL was then translated so that point J moved onto point K. Identify at least two pairs of congruent sides in the figure.

• Side JK is congruent to sides KM.

• Side JL is congruent to sides LM.

• Side KN is congruent to sides JL.

• Side MN is congruent to sides LM.

Triangle JKL was translated so that point J moved onto point L. Triangle JKL was then translated so that point J moved onto point K. Name a triangle that is congruent to triangle LKN.

• Triangle NPL

• Triangle KLJ

• Triangle MNK

What is the measure of angle LKN?

• 41 degrees

• 55 degrees

• 90 degrees

• 84 degrees

Tags

CCSS.7.G.B.5