Welcome!Mrs. GillenMath 2

Last Night’s Homework: NoneTonight’s Homework: Unit 7.5 Worksheet

Quiz: Friday!

Warm Up1. Determine if the two lines are parallel, perpendicular, or neither:

a) 𝑦 =2

5𝑥 + 1 b) line between (2, 4)

𝑦 =5

2𝑥 − 4 and (-1, 6), & 𝑦 = −2𝑥 + 5

2. Solve using the quadratic formula2𝑥2 − 5𝑥 + 3 = 0

Unit 7 Section 5:Angle and Segment Postulates

Interior / Exterior

A

B

C

Interior: Points that sit between the sides of an angle

Exterior: Points that sit outside of the angle sides

Adjacent AnglesAngles are adjacent if they share a vertex & side, but no

interior points

O

A

C

B

“angles ∠AOB & ∠ BOC are adjacent”

SupplementaryTwo angles are Supplementary if the sum of their

measure is 180°

“∠5 is the supplement of ∠6”

“∠7 is the supplement of ∠8”

Solve for x:

2x – 7 3x + 22

ComplementaryTwo angles are Complementary if the sum of their

measure is 90°

“∠1 is the complement of ∠2”

“∠4 is the complement of ∠3”

Solve for x:

9x

5x - 36

Linear PairTwo angles that are adjacent and supplementary

∠5 and ∠6 are a linear pair

(The sum of the measures for a linear pair = 180°)

m ∠5 + m ∠6 = 180°

5 6

Vertical AngleTwo angles that are on the opposite side and have the

same measure.

∠ 1 and ∠ 3 are vertical angles

∠ 2 and ∠ 4 are vertical angles(Vertical angles are Congruent)

∠ 1 ∠ 3

∠ 2 ∠ 4

12

34

Segment Addition PostulateGiven,

If B sits between A & C , Then AB + BC = AC

CA BAB BC

AC

Consider Line PR where point Q is between P & R…

If,

PQ = 15 and QR = 2X + 5 ,

then find the length PR when PR = 4x

RP Q

Angle Addition PostulateGiven RST,

If P is in the interior of RST, then…

S

R

T

P

m RSP + m PST = m RST