Geometry – Unit 2 Practice
Congruence Statements
Name: _____________________________!
Date: ___________ Pd: ____
G.CO.B.7
Quick Concept: A congruence statement relates the corresponding congruent parts of two shapes.
1) Two quadrilaterals are congruent. The following information is known about the two quadrilaterals;
TG ≅ RM ∠D ≅ ∠F, DA ≅ FC , and ∠GAD ≅ ∠MCF. Fill in the missing points in their corresponding
places.
Quadrilateral ___ D ___ ___ ≅ Quadrilateral ___ F ___ ___
2) Quadrilateral ABCD is congruent to Quadrilateral HJLP. Complete the following congruent
statements.
A
B
a) ∠B ≅ ∠ ____
b) LP ≅ ____ c) ∠P ≅ ∠ ____ d) DA ≅ ____
P
L
D
H
J
C
3) ∆ABC is congruent to another triangle. Provided is some information about the two triangles,
AB ≅ AG and ∠C ≅ ∠R . From this information determine the triangle congruence statement.
∆ABC ≅ ∆_________
4) ∆DEF is congruent ∆MNP. Complete the following congruent statements.
a) ∠F ≅ ∠ ______
b) NP ≅ ______
c) ∠M ≅ ∠ ______
d) FD ≅ ______
5) Pentagon ABCDE is congruent to Pentagon HJKLP. Complete the following congruent statements.
H
D
∠B ≅ ∠ ______
KL ≅ ______
∠J ≅ ∠ ______
B
DE ≅ ______
J
E
C
K
L
P
A
6) Determine the missing information.
∆ABC ≅ ∆DEF
B
5.4 cm
Quad ABCD ≅ Quad MNOP
73°
A
E
C
Quad ABCD ≅ Quad AMCG
G
B
D
93°
P
3.7 cm
12 cm
A
112°
C
7.6 cm
72°
F
D
4.6 cm
M
3.8 cm
O
28°
C
62°
87°
M
A
B
10 cm
4.0 cm
13 cm
16 cm
N
81°
m∠B = ________
m∠F = ________
SNRPDP
D
AC = ________
DE = ________
m∠M = _______ OP = ________ m∠DAB = ______ MC = _______
m∠C = ________ AD = ________ m∠BCD = ______ AM = _______
Unit 2: Transformations in the Plane
NVACS – Revised 2015-2016
Page 1 of 1