Basic Geometry Assumptions

Two angles that form a linear pair are ______________.

• equal.

• supplementary.

• complementary.

• unequal.

What is the measure of  $\angle$  B?

• 133 $\degree$  

• 27 $\degree$  

• 47 $\degree$  

• 57 $\degree$  

Tags

CCSS.HSG.C.A.2

The sum of the measures of all adjacent angles around a point is _________________________.

• 180 $\degree$

• 90 $\degree$

• 360 $\degree$

• 45 $\degree$

Tags

CCSS.4.MD.C.7

What is the measure of  $\angle$  g?

• 133 $\degree$  

• 47 $\degree$  

• 33 $\degree$  

• 80 $\degree$  

Tags

CCSS.7.G.B.5

Which of the following statements is NOT true?

•  $\angle$  1 =  $\angle$  2

• m  $\angle$  1 + m  $\angle$  2 = 180 $\degree$  

• m  $\angle$  3 + m  $\angle$  4 = 180 $\degree$  

• m  $\angle$  1 + m  $\angle$  2 = m $\angle$  3 + m $\angle$  4

Tags

CCSS.HSG.CO.C.9

In the diagram below, 𝐵𝐶̅̅̅̅ is the bisector of ∠𝐴𝐵𝐷, which measures 60°. What is the measure of ∠𝐴𝐵𝐶?

• 
  

  120 $\degree$

• 60 $\degree$

• 30 $\degree$

• 90 $\degree$

In the diagram below, ̅𝐷𝐶̅̅̅ is the perpendicular bisector of ̅𝐴𝐵̅̅̅, and 𝐶𝐸̅̅̅̅ is the angle bisector of ∠𝐴𝐶𝐷. Find the measures of 𝐴𝐶̅̅̅̅ and ∠𝐸𝐶𝐷.

• 
  

  AC = 24, m $\angle$ ECD = 45 $\degree$

• AC = 12, m $\angle$ ECD = 90 $\degree$

• AC = 6, m $\angle$ ECD = 45 $\degree$

• AC = 12, m $\angle$ ECD = 45 $\degree$

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.C.8

Which of the following is an INACCURATE statement about the labeled figure?

• 
  

  m $\angle$ DEB = 65 $\degree$

• m $\angle$ AEC = m $\angle$ BED

• m $\angle$ AEC = 50 $\degree$

• m $\angle$ ACE = 65 $\degree$

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

When one angle of a triangle is a right angle, the sum of the measures of the other two angles is ______________.

• 
  

  180 $\degree$

• 45 $\degree$

• 90 $\degree$

• 60 $\degree$

Tags

CCSS.HSG.CO.C.10

Based on the diagram below, which of the following reasons is NOT needed when proving the exterior angle of a triangle property?

• Linear pairs are supplementary.

• Vertical angles are equal.

• 
  

  Sum of the measures of the angles of a triangle is 180 $\degree$  

• m  $\angle$  CAE + m $\angle$  ACE = m  $\angle$  AED

Tags

CCSS.HSG.CO.C.10