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Worksheets

Midpoint Congruency

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

2.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

3.

Identify the  missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

4.

If L is the midpoint of TJ, what must be true?

a)

TL=JT

b)

JL=TJ

c)

TL=LJ

d)

T is also the midpoint of JL

5.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

6.

What is the reason?

a)

Definition of congrucent

b)

Definition of midpoint

c)

Definition of segment

d)

Segment Addition 

7.

Which is a true statement about the figure that is given?

a)

JKFG\overline{JK}\cong\overline{FG}

b)

Point H is between points F and G, but is not between points J and K.

c)

Line JKJK bisects FG\overline{FG}

d)

Point H is the midpoint of line JK.

8.

Point D is the midpoint of AB\overline{AB}  , which congruence statement must be true?

a)

AEDE\overline{AE}\cong\overline{DE}  

b)

ADBD\overline{AD}\cong\overline{BD}  

c)

BCAB\overline{BC}\cong\overline{AB}  

d)

AECE\overline{AE}\cong\overline{CE}  

9.

Given: B is the midpoint of ED\overline{ED}   CLAIM:    EBDB\overline{EB}\cong\overline{DB}  REASON:__________

a)

SSS Congruence

b)

Vertical Angles

c)

Reflexive Property

d)

Definition of Midpoint

10.

Identify the  missing statement or reason

a)

LN≅MJ

b)

JK≅NK

c)

MK≅LK

d)

∠JKM≅∠NKL

11.

If DA bisects IE, then

a)

ID=ED

b)

IA=EA

c)

<IDA=<EDA

d)

<IAD and <EAD are right angles

12.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

13.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

14.

What is the "statement" for step 3 of the proof?

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

15.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint