Topic 5 Relationships in Triangles Test H

Angle and Ethan are exploring geometry! They discover that DE is the ⊥ bisector of JL. Which statement is not necessarily true?

• K is the midpoint of JL.

• EJ = EL

• JK = KE

• DE ⊥ JL

Tags

CCSS.HSG.CO.C.9

Emma and Alexia are playing a game with points on a map. They discover that points A and B are equidistant from points I and K. What can they conclude from this information?

• B is the midpoint of IK.

• ∠LAB is a right angle.

• BI = AI

• AB bisects and is perpendicular to IK.

Tags

CCSS.HSG.CO.C.9

DF bisects ∠EDG. Find the value of x.

• 4

• 31

• 13/4

• 28

Tags

CCSS.HSG.CO.C.9

Find the circumcenter of ΔEFG with E(2, 6), F(2, 4), and G(6, 4).

• (7, 4)

• (5, 4)

• (4, 5)

• (2, 7)

Tags

CCSS.HSG.C.A.3

What is the name of the segment inside the large triangle?

• midsegment

• median

• perpendicular bisector

• altitude

Tags

CCSS.HSG.CO.C.10

• 46

• 23

• 92

• not enough information

Tags

CCSS.HSG.CO.C.10

Tags

CCSS.HSG.CO.C.10

• 3

• 6

Tags

CCSS.HSG.CO.C.10

Evelyn and Cam are exploring a magical land of geometry! They stumble upon a triangle where two of its altitudes are enchanted lines: x = 1 and y = x. Can you help them find the orthocenter of this mystical triangle?

• (2,2)

• (0,2)

• (1,1)

• none of these

Tags

CCSS.HSG.C.A.3

In a thrilling mystery at the triangular parking lot, three detective cameras named Jase, Brayden, and Josh were on a mission! Oliver was stationed 157 ft from Evelyn, who was 104 ft from Nora. Meanwhile, Oliver and Nora were 138 ft apart. Which detective camera had to cover the greatest angle to solve the mystery?

• Oliver

• Nora

• Evelyn

• cannot tell

Tags

CCSS.HSG.CO.C.11