Geometry Triangle Relationships

In Triangle LMG, MK is an angle bisector,

m∠1 = 2n + 10, m∠2 = 4n – 32, and m∠L =60^o. Find m∠G.

• 16

• 52

• 104

In the picture above, CG, EG, and AG are angle bisectors.

CG = 15, GF = 9. Find BG.

• 17.5

• 15

• 9

In ∆ABC, NG, GP, and GM are perpendicular bisectors. Find AG.

• 12

• 15

• 17

• 9

In ∆ABC, NG, GP, and GM are perpendicular bisectors. Find GM.

• 2

• 17

• 8

• 22.7

Fill the blank with <, >, or =.

CB _____ DB

• $<$

• $>$

• $=$

 $\angle1\ \ \ _{\ \ \ \ \ \ \ \ }\ \ \ \angle2$  Fill the space with <, >, or =.

•  $<$  

•  $>$  

•  $=$  

The lengths of two sides of a triangle are 38 and 45. Write an inequality to express the possible lengths of x, the third side of the triangle.

• $7<x<83$

• $8<x<82$

• $7>x>83$

• $8>x>82$

List the sides from smallest to largest. Show your work.

• MQ, PM, PQ

• PM, MQ, PQ

• PQ, MQ, PM

• MQ, PQ, PM

Find the value of the indicated angle

• 70°

• 80°

• 90°

• 142°

Tags

CCSS.7.G.B.5

What is the value of x?

• -8

• 3

• -7

• 11

Tags

CCSS.7.EE.B.3

CCSS.7.G.B.5