Quadrilateral Proofs Packet #2 - White Plains Middle School · Quadrilateral Proofs – Packet #2 ... Properties of the Parallelogram *Parallelogram* 4 ... Day 2 - Ways to prove a

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Quadrilateral Proofs – Packet #2

Name ______________________ Period __

Teacher ___________

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Table of Contents Day 1 : SWBAT: Prove Triangles Congruent using Parallelogram Properties Pages 3 - 8 HW: Pages 9 - 10 Day 2: SWBAT: Prove Quadrilaterals are Parallelograms Pages 11 - 15 HW: pages 16 - 17 Day 3: SWBAT: Prove Triangles Congruent using Special Parallelogram Properties Pages 18-23 HW: pages 24 - 25 Day 4: SWBAT: Prove Triangles Congruent using Trapezoids Pages 26 - 30 HW: pages 31 - 32 Day 5: Review

Day 6: Test

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Day 1 – Parallelograms

Warm – Up

Properties of the Parallelogram

*Parallelogram*

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Statements Reasons

a. and

a.

b ∡A and ∡

b.

c. and

c.

d. ∡A and

∡C and

d.

e. Draw and . (The lines intersect at E.)

e. Two Points Make a Line.

f. ∡BAC and ∡ AC

f.

g. and

g.

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Proofs

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You Try It!

(At most 6 steps! You may not need all 6!!!)

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You Try It!

Challenge

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SUMMARY

Exit Ticket

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HW – Day 1

1)

2)

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3)

4)

( ___ , ___ )

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Day 2 - Ways to prove a quadrilateral is a

parallelogram

Warm – Up

Statements Reasons

1.

1. Given

2.

(S)

2.

3. (S)

3.

4. ∡ ∡ (A)

4.

5.

5.

6.

6.

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a.

b.

c.

d.

e.

f.

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1.

2.

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You Try It!

Challenge

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SUMMARY

Exit Ticket

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Day 2 – HW

1.

2.

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3.

4.

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Day 3 – Proofs with Special Parallelograms

Warm – Up

Statements Reasons

1.

1. Given

2. ∡ ∡ are right ∡ 2.

3. ∡ ∡ (A)

3.

4. (S)

4. Given

5. (S)

5. Given

6. 6. (__, __, __)

7. 7. CPCTC

8. 8. CPCTC

9. ABCD is a parallelogram 9.

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2 points make a line

2 points make a line

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2 points make a line

2 points make a line

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Example 1:

2 points make a line

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2)

Challenge

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SUMMARY

Exit Ticket

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Day 3 – HW

1.

2.

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3.

4.

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Day 4 – Proofs with Trapezoids

Warm – Up

Statements Reasons

1.

1. Given

2. 2. (__, __, __)

3. RHOB is a Parallelogram

3. _________ of a quadrilateral

bisect each other _______

4. RHOB is a Rhombus 4. _____________ sides of a

Parallelogram Rhombus

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2 points make a line

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Example 1:

Prove: ∆ADC ∆BCD

Example 2: Given: ABCD is an isosceles trapezoid

Prove: MAD is isosceles

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Challenge:

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SUMMARY

Exit Ticket

Legs of an Isos. Trap are

Diagonals of an Isos. Trap are

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Day 4 – HW

1.

2.

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3.

4.

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