HM2 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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.C.A.3

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

Which three lengths CANNOT be the lengths of the sides of a triangle?

• 11 m, 15 m, 11 m
• 24 m, 21 m, 11 m
• 20 m, 7 m, 10 m
• 5 m, 9 m, 5 m

Tags

CCSS.7.G.A.2