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Warmup (Connect each value on the left with an equal value on the right)

(Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

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Page 1: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Warmup

(Connect each value on the left with an equal value on

the right)

Page 2: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

CHECK HOMEWORK

Page 3: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

OBJECTIVE:

WHAT DOES CONGRUENT

MEAN???

≅ Symbol for

congruence!

Page 4: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Some other symbols to know

∥ parallel

⊥ perpendicular

Page 5: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Rigid Motions

• What are Rigid Motions???

• “Motions that preserve the size and shape of figures”

• Who can name some Rigid Motions that we know???

• Translations

• Rotations

• Reflections

Page 6: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Congruent = same size, same shape

• All the angles are the same

• All the side lengths are the same

Page 7: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Two Congruent Triangles…

If I tell you that triangle CAT is congruent to triangle DOG…

what else can you conclude? Tell me everything you know!

C

A TD

OG

Page 8: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Complete Reflection Questions 1 and 2 on pg. 910

Page 9: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything
Page 10: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Highlight! pg. 910

When you write a statement such as ABC DEF, you are also stating which parts are congruent!!!

Helpful Hint

Page 11: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Given: ∆PQR ∆STWIdentify all pairs of corresponding congruent parts.

Angles: P S, Q T, R W

Sides: PQ ST, QR TW, PR SW

Page 12: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

If polygon LMNP polygon EFGH, identify all pairs of corresponding congruent parts.

Angles: L E, M F, N G, P H

Sides: LM EF, MN FG, NP GH, LP EH

Page 13: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Two Congruent Quadrilaterals

M A

TH

S F

N U

Quadrilateral MATH is congruent to Quadrilateral SFUN

Page 14: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Let’s Look at Example A on pg. 910

Page 15: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Try Part B on pg. 910!

Page 16: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Try Questions 3 – 5 on pg. 911

Page 17: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Try Questions 6-7 on pg. 912

Page 18: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Properties of Equality

Reflexive Property of Equality a = a

Symmetric Property of Equality If a = b then b = a

Transitive Property of Equality If a = b and b = c then a = c

Page 19: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Highlight pg. 911

Page 20: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

What do we KNOW?

What are we trying to prove?

Page 21: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

pg. 912

Page 22: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

What do we KNOW?

What are we trying to prove?

Page 23: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Try B on pg. 913

Page 24: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything

Now try 8 – 12 on pgs. 913- 914

Page 25: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything
Page 26: (Connect each value on the left with an equal value on the ...€¦ · If I tell you that triangle CAT is congruent to triangle DOG… what else can you conclude? Tell me everything