Sam used a compass and straight edge to perform the construction shown below.

Which of the following constructions was he performing?

A. The bisector of a given segment.
Incorrect. What is the figure that has the construction marks?

B. The bisector of a given angle.
Correct! The construction marks indicate a segment that divides the angle into two smaller angles with equal measures.

C. The perpendicular bisector of a given angle.
Incorrect. There are no perpendicular parts in this diagram. What is the figure formed by two adjacent rays?

D. The construction of an angle congruent to a given angle.
Incorrect. The two smaller angles are congruent, but that is a result of Sam's construction. What is the segment in between the two adjacent rays called?


One piece of pizza is left for Diane and Elizabeth to share.

Along which segment should the pizza be cut in order to ensure that Diane and Elizabeth each receive equally-sized pieces?

A. Segment PA
Incorrect.

B. Segment PB
Incorrect.

C. Segment PC
Correct!

D. Segment PD
Incorrect.


Which drawing below shows the arcs for a construction of a perpendicular to a line from a point that is not on the given line?.

A
Incorrect. What relationship do perpendicular lines have?

B
Incorrect. How do you know that the line connecting the intersecting acr marks will pass through the given point?

C
Incorrect. How do you know that the line connecting the intersecting marks will pass through the given point?

D
Correct! The point will be connected with the intersecting acrs to create a perpendicular line.


Noel works as a graphic designer. She is using a construction to complete a rectangle whose vertices include points P, J, and H.

Which point should be connected with point P in order to complete the rectangle?

A. Point A
Incorrect. How do you construct the segment perpendicular to the line containing the points that passes through Point P?

B. Point B
Correct! You have successfully identified the intersection of the line containing the four points and the perpendicular line that passes through Point P.

C. Point C
Incorrect. How do you construct the segment perpendicular to the line containing the points that passes through Point P?

D. Point D
Incorrect. How do you construct the segment perpendicular to the line containing the points that passes through Point P?


The map below shows a series of towns.

Which of the following conjectures must be true, based on the information in the map?

A. Alice and Center are the same distance apart as Alice and Beeville.
Incorrect. Which segment has the same length as the segment connecting Alice and Beeville?

B. Alice and Dumas are the same distance apart as Alice and Beeville.
Correct! You found two segments that are congruent.

C. Alice and East Columbia are the same distance apart as Alice and Beeville.
Incorrect. Which segment has the same length as the segment connecting Alice and Beeville?

D. Alice and Frisco are the same distance apart as Alice and Beeville.
Incorrect. Which segment has the same length as the segment connecting Alice and Beeville?