NAME
_
DATE
_
SCORE
Practice 14
Corresponding Parts in a Congruence
Suppose 6BIG
= 6 TOP. Complete.
1. 1G=
_
4.
= TO
2.
= mLP
5. 61BG
=
3. L1=
_
6.
_
= 60PT
Complete each statement with the word always, sometimes, or never.
7. If three angles of one triangle are congruent to three angles of another
.congruent.
triangle, the triangles are
8. If three sides of one triangle are congruent to three sides of another
triangle, the triangles are
congruent.
9. Given 6ABC with right angle C and 6DEF with 6ABC
LD is
= 6DEF,
congruent to LC.
Can the two triangles be proved congruent? If so, name the postulate
used. If not, write no congruence can be deduced.
10.
11.
13. ..-------H-~
14.
12.~
z
16. Write a two-column proof.
Given: M'is the midpoint ofXY;
XZ=YZ
Prove: 2Mbisects LXZY.
~
x
122
M
y
RESOURCE BOOK for GEOMETRY
Copyright © by Houghton Mifflin Company. All rights reserved,
NAME
DATE
Using Congruent Triangles
SCORE
I
L
_
L3X
Supply the missing reasons in each proof.
-
-
D
A
1. Given: BO == CO;
AO==DO
Prove: LB == LC
Proof:
Reasons
Statements
1. BO == CO; AO == DO
1.
_
2. LAOB == LDOC
2.
_
3. 6ABO == 6DCO
3.
_
4. LB == LC
4.
_
2. Given: SR == UT; SR
LS==LU
Prove: ST II UV
II
UT;
Proof:
R
~~
T
Reasons
Statements
II
V
1.
_
2. L 1 == L4
2.
_
3. 6RST == 6TUV
3.
_
4. L3 == L2
4.
_
STII
5.
_
1. SR == UT; SR
LS==LU
5.
UT;
UV
3. Given: D is th~midpoint of AB;
CA ==CB
Prove: CD bisects LACB.
~
c
~
A
Proof:
D
Statements
Reasons
1. D is the midpoint of AB; CA == CB
1.
2. AD == DB
2.
-
B
_
-
3. CD == CD
3.
_
4. 6.ACD == 6BCD
4.
_
5. Ll=L2
5.
~
--,-
_
6. CD bisects LACE.
6.
_
18
PRACTICE MASTERS for GEOMETRY
Copyright © by Houghton Mifflin Company. All rights reserved.