Triangles: Classifying & Proving

In the triangle shown, find the measure of the exterior angle ∠ DFG.

• 24 + 34

• 180 - 24

• 180 - 34

• 34 - 24

Tags

CCSS.8.G.A.5

In the triangle shown, ∠ BAC (angle A) = 5y + 3 and ∠ ABC (angle B) = 4y + 8 , and the measure of the exterior angle ∠ HMN is 146º. What is the value of y?

• 15

• 5

• 19

• 2.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

Find the measure of the exterior angle (n)

• 113

• 100

• 88

• 46

What additional information can be used to prove

 $\Delta VUW\cong\Delta YXZ$  

•  $\overline{WU}\cong\overline{ZX}$  

•  $\overline{WU}\cong\overline{ZY}$  

•  $\overline{VU}\cong\overline{ZX}$  

•  $\overline{XY}\cong\overline{VU}$  

Which angles must be congruent?

• $\angle ABC\cong\angle ACB$

• $\angle BAC\cong\angle ACB$

• $\angle ABC\cong\angle CAB$

• $\angle BAD\cong\angle CAB$

Tags

CCSS.HSG.CO.C.11

In the figure shown,

 $\overline{AB}\cong\overline{CD}$  . Which theorem can be used to prove  $\Delta ABC\cong\Delta CDA$  ?

• HL

• AAS

• SAS

• SSS

Triangle ABC is equilateral and the   $m\angle A\ =\ 5x-15$  Solve for x.

• 9

• 15

• 39

• 60

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• Given

• Definition of Bisect

• SSS

• SAS

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

What additional information would you need to prove the triangles are congruent using the Angle-Side-Angle Congruence Postulate?

• $\angle SWV\cong\angle TWU$

• $\angle SVW\cong\angle TWU$

• $\angle SWV\cong\angle TUW$

• $\angle TWU\cong\angle STU$

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is the reason for step 3?

• Reflexive Property

• Alternate Interior

• Symmetric Property

• Given

Tags

CCSS.HSG.CO.C.9