Unit 6: Proofs involving angles, lines, and triangles

Angle 1 and Angle 2 are supplementary by the

• Linear Pair Postulate

• Vertical Angles Postulate

• Alternate Interior Angles Postulate

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

Angle 1 and Angle 3 are congruent by the

• Linear Pair Postulate

• Vertical Angles Postulate

• Alternate Interior Angles Postulate

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

If

 $\angle M\ and\ \angle N$  are supplementary, then 

•  $\angle M+\angle N=90$  

•  $\angle M=\angle N$  

•  $\angle M+\angle N=180$  

• they are a linear pair

Tags

CCSS.HSG.CO.C.9

The Triangle Sum Theorem says

• $\angle1+\angle2+\angle3=180$

• $\angle1+\angle3+\angle4=180$

• $\angle4+\angle5+\angle6=180$

• $\angle1+\angle4=\angle2$

Tags

CCSS.HSG.CO.C.10

Which theorem can be used to justify that

 $\angle1+\angle2=\angle4$  ?

• Triangle Sum Theorem

• Alternate Interior Angles Postulate

• Vertical Angles Postulate

• Exterior Angles Theorem

Which theorem can be used to justify that

 $\angle1+\angle2+\angle3=180$  ?

• Triangle Sum Theorem

• Alternate Interior Angles Postulate

• Vertical Angles Postulate

• Exterior Angles Theorem

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

Which is true by the Exterior Angle Theorem?

• $\angle1+\angle2+\angle3=180$

• $\angle1+\angle3+\angle4=180$

• $\angle4+\angle5+\angle6=180$

• $\angle1+\angle4=\angle2$

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

If

 $\angle4\ and\ \angle3$  are linear pair, then we can say

• they are vertical.

• they are complementary.

• they are congruent.

• they are supplementary.

Tags

CCSS.HSG.CO.C.9

Which of the following statements is true by the Alternate Interior Angles Postulate?

• $\angle4\cong\angle6$

• $\angle1\cong\angle7$

• $\angle2\cong\angle5$

• $\angle4\cong\angle8$

Tags

CCSS.HSG.CO.C.9

Which of the following statements is true by the Corresponding Angles Postulate?

• $\angle4\cong\angle6$

• $\angle1\cong\angle7$

• $\angle2\cong\angle5$

• $\angle4\cong\angle8$

Tags

CCSS.HSG.CO.C.9