ACP Geometry Quiz

Triangle ABC is given. What is a possible length for BC?

• 6

• 20

• 22

• 25

Lines r and s are graphed on a coordinate grid as shown. Based on the information in the graph, which statement is true?

• Lines r and s are parallel lines.

• Lines r and s are perpendicular lines.

• Lines r and s never intersect.

• Lines r and s are neither parallel nor perpendicular.

Quadrilateral WXYZ is inscribed in circle C and m∠Y = 73°. Based on this information, what is the measure of ∠W in degrees? Enter the answer in the box provided.

The lines and rays in the figure are coplanar. Line p is parallel to line q. Based on the information in the diagram, what is m∠1?

• 32°

• 58°

• 95°

• 117°

The diagram shows the arc used to construct PQ, given JK and point P. Which construction is illustrated in the diagram?

• Congruent segment

• Segment bisector

• Parallel line through a given point

• Perpendicular line through a given point

A regular hexagon is shown. If the area of the hexagon is 259.8 m², what is the approximate length of the apothem?

• 2.17 m

• 4.33 m

• 5.20 m

• 8.66 m

In the diagram, BE and CD intersect at point A, ∠EAD ≅ ∠EAF, m∠DAB = (6x + 14)° and m∠BAC = (4x + 6)°. Based on the information in the diagram, what is the measure of ∠EAF in degrees? Enter the answer in the box provided.

In the diagram, a // b. Based on the diagram, which statement is true?

• ∠2 ≅ ∠7

• ∠1 ≅ ∠6

• ∠4 ≅ ∠8

• ∠4 ≅ ∠5

A conditional statement is shown: If 2x – 5 = 13, then x = 9. Which statement represents the inverse of this conditional?

• If x = 9, then 2x – 5 = 13.

• If 2x – 5 ≠ 13, then x ≠ 9.

• If x ≠ 9, then 2x – 5 ≠ 13.

• x = 9 if and only if 2x – 5 = 13.

In the diagram, $ l_1 \parallel l_2 $. Based on the information in the diagram, what is the value of $ x $? Enter the answer in the box provided.