Numerical Practice with Congruence
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Answer the following questions dealing with congruent figures.

1.

with and .  If AB = 10 inches, which side of has the same measure?

Choose:

 

 

 

 

2.

Triangle BAT is congruent to triangle FOG with
BA = FO, AT = OG and BT = FG.
If the sum of the measures of and is 110 degrees, what is the degree measure of

Choose:

70
 80
90
110

 

 

3.

The two legs of a right triangle measure 5 and 12.  The leg and hypotenuse of another right triangle measure 12 and 13 respectively.  These two triangles are congruent. 

Choose:

True
False

 

 

4.

Find AB
(explain your answer)

Choose:

15
30
45
60

 

 

5.

and the perimeter of is 30 inches.  If the sum of two sides of is 23 inches, what is the length of the third side of ?

Choose:

7 inches
10 inches
23 inches
30 inches

 

 

6.

Triangle ABC is congruent to triangle DEF with
.
If 
AB = 2x + 10, and DE = 4x - 20,
find the value of  x.

Choose:

5
10
15
60

 

 


 

7.

Which of the following cannot be used in proving triangles congruent?

Choose:

a
 
b
c
d
a.  SSS SSS
b.  AAA AAA
c.  SAS SAS
d.  AAS AAS

 

 

8.

Triangle ABC is congruent to triangle A'B'C'. 
If angle C is represented by 2x - 10
and angle C' is represented by 3x - 40,
find the measure of angle C.

Choose:

15
30
50
90

 

 

9.

Triangle DEF is congruent to triangle D'E'F'
If EF is represented by 6x + 4
and E'F' is represented by 2x + 20,
find the value of x.

Choose:

3
4
5
6

 

 

10.

Two triangles are congruent if they have 2 angles and the included side of one triangle congruent to the corresponding parts of the other triangle.

Choose:

True
False

 

 

11.

If three sides of one triangle are congruent respectively to the three sides of another triangle, then the 2 triangles are _________ congruent.

 

Choose:

Always
Sometimes
Never

 

 

12.

If it can be proved that if it is also known that

Choose:

a
b
c
d
a. 
b. 
c. 
d. 

 

 

13.

Polygon ABCD is congruent to polygon A'B'C'D'. 
If angle A corresponds to angle A',
the value of angle A' is 5x - 65 and
the value of angle A is 2x - 5,
find angle A.
 

Choose:

10
20
30
35