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Warmup: Angles in Quadrilaterals For 1-3, find all the missing angle measures. 1) 2) 3) 105° 75° 75° 52° 128° 128° 95° 120°
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Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Apr 19, 2018

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Page 1: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Warmup: Angles in Quadrilaterals

For 1-3, find all the missing angle measures.

1) 2)

3)

105°

75°

75°

52°

128° 128°

95°

120°

Page 2: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Homework Answers

pg. 1249 (1-4, 7-10, 15, 17)

28° 57°

Page 3: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel
Page 4: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel
Page 5: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel
Page 6: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Quiz Tomorrow

Know everything on the review sheet How to draw the special segments of

triangles Triangle Midsegment Theorem All Properties of Quadrilaterals

Know how to do proofs with diagonals and match statements and reasons in a proof

Page 7: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Write a two-column proof.

Given: ABCD is a parallelogram.

Prove: ∆AEB ∆CED

Page 8: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

FACT: The diagonals of a rectangle are congruent.

A B

C D

𝑨𝑪 ≅ 𝑩𝑫

How could we

prove this???

Page 9: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

FACT: The diagonals of a rhombus are perpendicular.

A

B

C

D

𝑨𝑪 ⊥ 𝑩𝑫

How could we

prove this???

Page 10: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Rectangle

Page 11: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Rhombus

Page 12: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Trapezoid

Page 13: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Kite

Page 14: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Parallelogram

Page 15: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Quadrilateral

Page 16: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Isosceles Trapezoid

Page 17: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific Name?

Kite

Page 18: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Most specific name?

Parallelogram

Page 19: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Which is not necessarily a rhombus?

Page 20: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Which MUST be a square?

Page 21: Warmup: Angles in Quadrilateralsbolusmath.weebly.com/uploads/5/7/9/0/57901811/quadrilaterals... · pg. 1249 (1-4, 7-10, 15, 17) 28° 57° ... C. Has at least one pair of parallel

Review Sheet