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Worksheets

Missing Pieces Proofs

Total questions: 22

Worksheet time: 4hrs 52mins

Name
Class
Date
1.
a)

ΔFGHΔFIH\Delta FGH\cong\Delta FIH

b)

IG\angle I\cong\angle G

c)

SSS

d)

ASA

2.
a)

UTSV\overline{UT}\cong\overline{SV}

b)

TV\angle T\cong\angle V

c)

USSU\overline{US}\cong\overline{SU}

d)

UVST\overline{UV}\cong\overline{ST}

3.
a)

SSS

b)

SAS

c)

ASA

d)

HL

4.
a)

HH\angle H\cong\angle H

b)

IHJGHK\angle IHJ\cong\angle GHK

c)

JK\angle J\cong\angle K

d)

HIHK\overline{HI}\cong\overline{HK}

5.
a)

ASA

b)

ΔGHKΔIHJ\Delta GHK\cong\Delta IHJ

c)

ΔIJKΔGKJ\Delta IJK\cong\Delta GKJ

d)

ΔHJKΔHJK\Delta HJK\cong\Delta HJK

6.
a)

US\angle U\cong\angle S

b)

U and S are  right angles.\angle U\ and\ \angle S\ are\ \ right\ angles.

c)

WV\angle W\cong\angle V

d)

W and V are  right angles.\angle W\ and\ \angle V\ are\ \ right\ angles.

7.
a)

Definition of perpendicular

b)

Vertical angles are congruent

c)

All right angles are congruent

d)

Alternate interior angles are congruent

8.
a)

SSS

b)

SAS

c)

ASA

d)

HL

9.
a)

SSS

b)

SAS

c)

ASA

d)

HL

10.
a)

Reflexive property

b)

Definition of bisector

c)

Vertical Angles are congruent

d)

Definition of midpoint

11.
a)

ΔFEGΔFEG\Delta FEG\cong\Delta FEG

b)

SAS

c)

ΔEFHΔEGH\Delta EFH\cong\Delta EGH

d)

FHGH\overline{FH}\cong\overline{GH}

12.
a)

Given

b)

Definition of Midpoint

c)

Definition of Congruence

d)

Reflexive Property

13.
a)

Definition of Midpoint

b)

Given

c)

Reflexive Property

d)

Definition of Congruence

14.
a)

UYXVYW\angle UYX\cong\angle VYW

b)

UXVW\overline{UX}\cong\overline{VW}

c)

UV\angle U\cong\angle V

d)

XW\angle X\cong\angle W

15.
a)

SSS

b)

SAS

c)

ASA

d)

HL

16.

What is the reason for step 5?

(a)  

17.

What is the reason for step 6?

(a)  

18.

What is the reason for step 4?

(a)  

19.

What is the reason for step 3?

(a)  

20.

What is the reason for step 5?

(a)  

21.

Give the reason for step 3.

(a)  

22.

What is the statement for step 3?

a)

HJHJ\overline{HJ}\cong\overline{HJ}

b)

JIJI\overline{JI}\cong\overline{JI}

c)

KHJIHJ\angle KHJ\cong\angle IHJ

d)

KI\angle K\cong\angle I