quiz thursday - ms. bolus- integrated math 1 &...

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QUIZ THURSDAY

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Page 1: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

QUIZ THURSDAY

Page 2: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Trapezoid

Only 1 pair of parallel sides

Page 3: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Examples of trapezoids…

They don’t have to look “perfect”!

Page 4: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Isosceles Trapezoid

A trapezoid with congruent legs

base angles are equal in measure!

What could be true about the angles???

Page 5: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms
Page 6: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms
Page 7: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Diagonals of a Trapezoid?

Any special properties?

Page 8: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

FACT: The diagonals of an isosceles trapezoid are congruent.

How could we prove this???

Page 9: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Kite

2 sets of consecutive sides that are congruent

What could be true about the angles???

Page 10: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Diagonals of a Kite?

• Any special properties?

Page 11: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

FACT: The diagonals of a kite are perpendicular.

How could we prove this???

Page 12: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Can you…

Draw a quadrilateral that isn’t ANY of these shapes???

Page 13: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

FLOW CHART

Page 14: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

A student claims there is an SSSS congruence criterion for parallelograms. That is, if all four sides of one parallelogram are congruent to the four sides of another parallelogram, then the parallelograms are congruent. Do you agree? If so, explain why. If not, give a counterexample. Hint: Draw a picture!

Page 15: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Find mA.

mA = 80°

Page 16: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

mF = 131°

Find mF.

Page 17: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

JN = 10.6, and NL = 14.8. Find KM.

KM = 10.6 + 14.8 = 25.4

Page 18: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

76o

92o

xo

x = 100

Page 19: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

In kite ABCD, mCDF = 52°. Find mFCD.

mFCD =38°

Page 20: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

In kite PQRS, mPQR = 78°, and mTRS = 59°. Find mQPS.

mQPS = 110°

Page 21: QUIZ THURSDAY - Ms. Bolus- Integrated Math 1 & 2bolusmath.weebly.com/uploads/5/7/9/0/57901811/quads_geo.pdf · A student claims there is an SSSS congruence criterion for parallelograms

Pg. 433 (14-20, 27-32)

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