Download - Date Page(s) Topic Homework
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