Relationships Within Triangles

Which of the following measures can be side lengths of a triangle?

• 10, 12, 15

• 3, 9, 12

• 6, 6, 13

• 5, 7, 9

Tags

CCSS.7.G.A.2

Given  $AM=BM$   and  $AC=BC$  , what is $m\angle MBC$  ?

• 26

• 90

• 64

• 13

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Solve for y.

• 50

• 25

• 4

• 65

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

 In the isosceles triangle  $QRS$  ,  $\overline{RT}$  is the angle bisector of  $\angle QRS$ . You want to prove the base angles of this triangle are congruent. You start by stating  $\angle1\cong\angle2$  . What is a valid reason for this statement? 

• Reflexive property of congruence

• Definition of angle bisector

• Symmetric property of congruence

• Corresponding angles are congruent

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

Which of the following measures can be side lengths of a triangle?

• 9, 1, 4

• 6, 3, 5

• 21, 20, 2

• 7, 14, 7

What is  $m\angle B$  ?

• 70

• 180

• 140

• 40

Tags

CCSS.HSG.CO.C.10

What is y?

• 40

• 55

• 70

• 110

Tags

CCSS.HSG.CO.C.10

What is x?

• 40

• 55

• 70

• 110

Tags

CCSS.HSG.CO.C.10

 $LN=24$ , $OM=9y-43$  , and  $\overline{OM}$  is a perpendicular bisector of  $\overline{LN}$  .
Determine which of the following is true.

• y = 8
  

• LM = 12

• OM = 20

• perimeter of  $\Delta MON$ = 69

• perimeter of  $\Delta LMN\ =\ 74$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.5

X is a midpoint of  $\overline{UV}$  and Y is a midpoint of $\overline{UW}$ .

•  $\overline{VX}\ \cong\ \overline{YW}$  

•  $\overline{XU}\ \cong\ \overline{UY}$  

•  $\overline{VW}\ \cong\ \frac{1}{2}\overline{XY}$  

•  $\overline{VW}\ \parallel\ \overline{XY}$  

•  $\overline{VX}\ \cong\ \overline{XU}$  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.10