Congruent or Not
Missing Measures
Find the Value
Prove It!
Transform Me
100
p. 89 #1
Yes, angle B is congruent to angle E by the Third Angles Thm. All corresponding sides and angles are congruent, so triangle ABC is congruent to triangle DEF.
100
p. 93 #3
The measure of angle E is 124 degrees
100
p. 89 #5
x = 8
100
p. 94 #8 What is the reason for #1?
Given
100
p. 97 #1 What 2 rigid motions map ABCD onto JKLM?
reflection and translation
200
p. 97 # 5
Not
200
p. 93 #4
DE = 24
200
p. 93 #5
x = 14
200
p. 94 #8 What is the reason for Step 3? 
Reflexive Property
200
p. 97 #4 Write the coordinate notation for the reflection and translation that maps ABC onto DEF.
(x, y) ---> (x, -y)
(x, y) --> (x + 2, y - 2)
300
p. 97 #6
Congruent - reflect over the y-axis
(x, y) --> (-x, y)
and translate right 1 and up 2
(x, y) --> (x + 1, y + 2)
300
p. 90 #10
x = 15
The measure of angle B is 75 degrees (C)
300
p. 93 #6
x = 5
300
p. 94 #8 What is the reason for #6?
Right Angle Congruence Thm
300
p. 98 #7
Both are correct
400
p. 93 #1
All corresponding sides are congruent.
Two pairs of corresponding angles are congruent.
By Third Angle Thm, the third pair of angles are congruent. Therefore, the triangles are congruent.
400
p. 90 #7
Mike does not have enough information to prove the triangles are congruent. He doesn't know if the sides are congruent.
400
p. 98 #10
B rotation 90 degrees counterclockwise,
translation 4 units right and 1 unit up
500
p. 89 #2
No, only one pair of corresponding angles are congruent
500
p. 94 #7
Doris is not correct. Congruent triangles have corresponding sides that are congruent. Perimeter is the sum of all the side lengths If all sides are congruent, the perimeters must be equal.