Answer 1 Angle 1……Symmetric Answer 2 AB = TU ……...

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Transcript of Answer 1 Angle 1……Symmetric Answer 2 AB = TU ……...

5-MINUTE CHECK

Answer 1 Angle 1……Symmetric

Answer 2 AB = TU ……...

Students will analyze & apply properties of special pairs of angles to solve angle diagrams. Why? So you can describe angles in a home, as seen in Ex 44.Mastery is 80% or better on 5-minute checks

KEY VOCABULARY

Complementary Angles- A pair of angles whose sum is 90.

Supplementary Angles- A pair of angles whose sum is 180.

Linear Pair- A pair of adjacent angles whose sum is 180.

Vertical Angles- Two Angles whose sides form opposite rays.

EXAMPLE OF RIGHT ANGLE CONGRUENCE

MORE CONGRUENCY THEOREMS

TOOLS FOR PROOFS

PAIR SHARE

Given

Vertical Angle CongruenceTransitive Prop

Vertical Angle Congruence

Transitive Prop

GUIDED PRACTICE WITH A PARTNER

Angle 3 = 112, Angle 2 & 4 = 68

Angle 4 = 67, Angle 1& 3 = 113

Angle 2 = 71, Angle 1&3 = 109

QUICK WRITE…EXPLAIN

WITH A PARTNER: FIND THE VALUE OF THE VARIABLES & THE MEASURES OF EACH ANGLES BELOW

X=5 & Y=26Angles are 74 & 106

X=10 & Y=40Angles are 130 & 50

ON YOUR OWN…WHITE BOARDSSOLVE FOR THE VARIABLES & ANGLES.

X = 7 and Y = 9……so Angle Measures are 36 and 144

WHAT ARE THE ANGLE / VARIABLE RELATIONSHIPS?

Linear Pair Supplementary

Complementary Angles

Linear Pair Supplementary

Complementary Angles

PERFORMANCE TASK SOLVE & EXPLAIN THE ANGLE RELATIONSHIP

1 2

X = 9……Complementary X= 11 and Y= 17………. Vertical

EXIT SLIPS…….WHITE BOARDS

Complementary Angles Y= 9

WHAT HAVE YOU LEARNED TODAY??

Students will analyze & apply properties of special pairs of angles to solve angle diagrams.

HOME WORK

Page(s) 128-129

#1-30 all

Quiz coming soon……HW Packs due tomorrow!!