Chapter 4 Triangle Theorems Review

The length of segment DE is shown. What other length can you determine for this diagram?

• EF = 7
• DF = 14
• DG = 7
• No other length can be determined

Where can the bisectors of the angles of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle

• III only
• I, II, or III
• I or III ony
• I only

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

• perpendicular bisector
• median
• midsegment
• angle bisector

Tags

CCSS.HSG.CO.C.10

Name a median for triangle MNO.

• segment NP
• segment MR
• segment OQ
• segment MP

Tags

CCSS.HSG.CO.C.10

In triangle ACE, G is the centroid and BE = 18. Find BG and GE.

• BG = 4.5, GE = 13.5
• BG = 6, GE = 12
• BG = 9, GE = 9
• BG = 12, GE = 6

Tags

CCSS.HSG.CO.C.10

Find the circumcenter of the triangle.

• (-0.5, -1)
• (-1, -3)
• (-1, -0.5)
• (-3, -0.5)

Tags

CCSS.HSG.C.A.3

In triangle ABC, centroid D is on median AM. AD = x + 4 and DM = 2x - 4. Find AM.

• 13
• 6
• 4
• 12

Tags

CCSS.HSG.CO.C.10

Use the information in the diagram to determine the height of the tree. The diagram is not to scale.

• 25 ft
• 23 ft
• 50 ft
• 100 ft

Tags

CCSS.HSG.CO.C.9

Name the smallest angle of triangle ABC. The diagram is not to scale.

• B
• C
• A
• Two angles are the same size and smaller than the third.

Tags

CCSS.HSG.CO.C.10

List the sides in order from shortest to longest. The diagram is not to scale.

• LJ, JK, LK
• JK, LJ, LK
• LJ, LK, JK
• JK, LK, LJ