honors geometry chapter 5 practice problems · pdf file · 2016-12-12honors...

HonorsGeometry Chapter5PracticeProblems

Baroody of 15

1.

Draw the Quadrilateral Family Venn Diagram with all the associated definitions and properties.


Baroody of 15

2.

3.

Write 5 ways to prove that a quadrilateral is a parallelogram:

Rectangle that is not a RhombusRhombus that is not a Rectangle

1.

2.

3.

4.

5.

Name 5 properties of a rectangle that is not a rhombus and the corresponding propertiesof a rhombus that is not a rectangle:


Baroody of 15

4.

5.

Diagonals bisect each other and bisect the ∠s

Diagonals are ⊥ and ≅ and bisect each other

Consecutive ∠s measure 30°, 150°, 110°, 70°

Consecutive sides measure 15, 18, 18, 15

Consecutive sides measure 15, 18, 15, 181.

2.

3.

4.

5.

Give the best name for a quadrilateral whose:

If 2 ∠s of a trapezoid are ≅, the trapezoid is isosceles.

If a parallelogram is equilateral, it is equiangular.

If the diagonals of a quadrilateral divide each ∠ such that each halfmeasures 45°, the quadrilateral is a square.

If the diagonals of a quadrilateral are ≅, it is an isosceles trapezoid.1.

2.

3.

4.

Answer Sometimes, Always, or Never


Baroody of 15

6.

7.

x+24

2x+6

ABCD is a parallelogram. Find the measure of ∠C.

DA

B C

x

x+6

ABCD is a rectangle. The area is 160 u2. Find the perimeter.

C

A

D

B


Baroody of 15

8.

9.

YZ bisects ∠AYB

CY ≅ AYYZ CA

Prove:

Given:

Statements Reasons

Z

C

A

Y

B

Given:

Prove:

ODC AB

AD ≅ BC

Statements Reasons

C

BOA

D


Baroody of 15

10.

11.

Given:

Prove:

ABCD is an isoscelestrapezoid with legs AD & BC

DPC & APB are isosceles

Statements Reasons

P

C

A B

D

Given:

Prove:

ABCD is a BE ≅ DF

AC bisects EF

Statements Reasons

G

F

CB

A D

E


Baroody of 15

12.

13.

Given:

Prove:

ABCD is a ∠GHA ≅ ∠FECHB ≅ DE

GH ≅ EF

Statements Reasons

F

E

BA

D C

H

G

Given:

Prove:

ID bisects BRBI ≅ IR

BIRD is a kite

Statements Reasons

K

D

I

B R


Baroody of 15

14.

Given:

Prove:

YTWX is a YP ⊥ TWZW ⊥ TYTP ≅ TZ

YTWX is a rhombus

Statements Reasons

Z

P W

Y

T

X


Baroody of 15

15.

Given:

Prove:

ACDF is a ∠AFB ≅ ∠ECD

FBCE is a

Statements Reasons

E

CA

F D

B


Baroody of 15

16.

17.

Given:

Prove:

ABCD is a AB ⊥ BC

DEC is isosceles

Statements Reasons

E

C

A

B

D

Given:

Prove:

AED & BEC are isosceles with≅ bases AD & BC, respectively

ABCD is a rectangle

Statements Reasons

E

C

A

B

D


Baroody of 15

18.

19.

Prove that the quadrilateral formed by connecting the midpoints of the sides of a is a .

Statements Reasons

Given:

Prove:

TWX is isosceles with base WXRY WX

RWXY is an isoscelestrapezoid

Statements Reasons

Y

T

W X

R


Baroody of 15

20.

Given:

Prove:

EFGH is a AE ≅ BF ≅ CG ≅ DH

ABCD is a

Statements Reasons

D

CB

GE

F

HA


Baroody of 15

21.

Given:

Prove:

RSOT is a parallelogramMS ≅ TP

MOPR is a parallelogram

Statements Reasons

P

O

R

S

T

M


Baroody of 15

22.

Given:

Prove:

PQRS is a A is the midpoint of QR

PA bisects ∠QPS

SA bisects ∠PSR

Statements ReasonsS

RAQ

P


Baroody of 15

23.

Given:

Prove:

KOR is equilateralKOPR is a KMOR is a

JMP is equilateral

Statements Reasons

P

J

M O

K R

honors geometry chapter 5 practice problems · pdf file · 2016-12-12honors...

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