Illustrative Math Geometry

Describe a sequence of transformations that take T to T'.

• Rotate 90 degrees clockwise around C and translate C to A'

• Rotate 90 degrees clockwise around C and reflect over segment CB'

• Rotate 180 degrees and translate C to A'

• Reflect over segment BC and rotate 180 degrees

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Eric just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Eric didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

• Congruent by SSA

• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• ASA

• AAS

The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?

• 56.25 ft

• 246 ft

• 365 ft

• 393 ft

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

What is the circumference?

• 36

• 56.52

• 108

• 113.04

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD