NAME ____________________________ GEOMETRY

UNIT 5.5 Quadrilateral Proofs

Date Page(s) Topic Homework 12/13 2 Prove a quadrilateral is a

parallelogram Worksheet

12/14 3 Prove a quadrilateral is a rectangle or a rhombus

Worksheet

12/17 4 Quiz Prove a quadrilateral is a square

None

12/18 5 Proof with quadrilateral properties

Worksheet

12/19 X Review all properties Ticket-In

12/20 X Test None

12/21 x Review of information so far Enjoy your Holiday break

Proving Parallelograms

1.) Given: ∠QDU≅∠AUD

∠Q≅∠A

Prove: QUAD is a parallelogram

2.) Given: T is the midpoint of NS

NE || OS

Prove: ONES is a parallelogram

Q U

A

D

N O

S E

T

Prove Rectangle or Rhombus

1.) Given: RHOM is a rhombus

∠T is a right angle

BH≅TH

Prove: ΔBOH≅ΔRTH

2.) Given: TR≅CE

∠RCE≅∠TRC

ΔTRE≅ΔRCE

Prove: RECT is a rectangle

R

H

O

M

T

B

E

C T

R

A

Prove a Square

1.) Given: RMOH is a rhombus

MSOB is a parallelogram

MB ≅BO

Prove: MSOB is a square

M

R

H

B

O

S

Quadrilateral proofs

1.) Solve for x and y and z if AC=3y-4, BE=y+3 , <CAD= 5x-9°, <BDA=3x+7° and <BEA=62°

2.)In the diagram below of quadrilateral ABCD with diagonal BD, m<A = 93, m<ADB = 43,

m<C = 3x + 5, m<BDC = x + 19, and m<DBC = 2x + 6. Determine if ABCD is a parallelogram. Justify

your answer.

3x+7 5x-9 A

B

C

D

E

A B

C

D