Angle Congruence Properties

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Tags

CCSS.7.G.B.5

• True

• False

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7

Tags

CCSS.7.G.B.5

Tags

CCSS.8.G.A.5

What reason is missing from this proof?

• Reflexive Property of Congruence

• Transitive Property of Equality

• Transitive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

The measures of two angles are (4x + 39)° and (16x – 12)°. What is the value of x that will make the two angles congruent?

Mathematical Equivalence

OFF

Tags

8.8C

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE

• Addition POE

• Def. of congruent angles

• Def. of right angles

Tags

CCSS.HSG.CO.B.7

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

• Given

• Definition of Congruent

• Congruent means equal

• Transitive Property

Tags

CCSS.HSG.CO.B.7

The measures of two angles are (5x +24) and (9x-17). What is the value of x if these angles are congruent?

• 75

• 13.2

• 0.5

• 10.25

Tags

CCSS.7.G.B.5

Complete the statement. ∠E ≅ __

• < A

• < B

• < C

• < D

Tags

CCSS.HSG.CO.B.7