Geometry Quiz

Which inequality correctly compares the sides of △ABC?

• BC < AB

• AC < AB

• AC < BC

• BC < AC

Tags

CCSS.HSG.CO.C.10

A student is constructing an equilateral triangle KVM . The student sets the compass width to a desired length, draws two arcs from K , and marks the point V on one of the arcs, as shown. What are the next steps to plot point M ?

• Change the compass width to half, and draw an arc from $ V $ to intersect the other arc at $ M $.

• Change the compass width to half, and draw an arc from $ V $ in the direction of the point $ K $.

• Without changing the compass width, draw an arc from $ V $ that intersects the point $ K $.

• Without changing the compass width, draw an arc from $ V $ to intersect the other arc at $ M $.

A wagon wheel is shown in the figure. How many degrees does the wheel need to rotate about its axle so that the image of the wheel is indistinguishable from the original figure?

• 15°

• 30°

• 45°

• 60°

Tags

CCSS.HSG.CO.A.4

Line segment ST is rotated 90° counterclockwise to create segment ST'. Point L on ST is defined by coordinates (x, y). What are the coordinates of the corresponding point L' on segment ST'?

• (x, -y)

• (-x, y)

• (y, x)

• (-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Jaden says that two triangles are congruent if their interior angles are congruent. Is Jaden correct, and why?

• Yes. Congruent triangles have congruent interior angles.

• Yes. If the angles of two triangles are congruent, then the triangles are similar.

• No. Congruent triangles should also have corresponding congruent side lengths.

• No. The interior angles of congruent triangles are supplementary, not congruent.

Tags

CCSS.8.G.A.2

Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180°. She draws a triangle and extends one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side, as shown in the diagram below. Which of the following statements must be true and could be used as part of Katherine's proof? Select ALL that apply.

• m∠1 = m∠5

• m∠2 = m∠4

• m∠3 = m∠4 + m∠5

• m∠3 + m∠4 + m∠5 = 180°

• m∠1 + m∠2 + m∠4 + m∠5 = 180°

Tags

CCSS.8.G.A.5

Examine the figure below. Determine which of the following angle measures are correct. Select all that apply.

• m∠JKL = 37°

• m∠KJL = 73°

• m∠JLK = 86°

• m∠KLM = 126°

Tags

CCSS.7.G.B.5

Reason 3 is correct as is.

• True

• False

Tags

CCSS.HSG.CO.C.11

Reason 3 would be correct if 'corresponding angles' is replaced with 'alternate interior angles.'

• True

• False

Tags

CCSS.HSG.CO.C.11

Reason 4 is correct as is.

• True

• False

Tags

CCSS.HSG.CO.C.11