Triangle Congruence
Name:
1.
Date:
Which principle of congruence could be used to
prove triangle RST is congruent to triangle XYZ?
A.
Side-Side-Side (SSS)
B.
Side-Angle-Side (SAS)
C.
Angle-Side-Angle (ASA)
3.
D. Side-Side-Angle (SSA)
2.
Which theorem of congruence should be used to
prove ^QRS = ^TUV?
Angle-Side-Angle (ASA)
B.
Angle-Angle-Side (AAS)
C.
Side-Angle-Side (SAS)
A.
The triangles are congruent by side-side-side
(SSS).
B.
The triangles are congruent by side-angle-side
(SAS).
C.
The triangles are congruent by angle-side-angle
(ASA).
D. The triangles are congruent by angle-angle-side
(AAS).
4.
A.
Based on the diagram below, which of these
arguments is valid?
In the diagram below BP = PK and AP = PJ.
What additional information is su cient to prove
^APB = ^JPK by side-angle-side (SAS)?
D. Side-Side-Side (SSS)
page 1
A.
OA = OK
B.
C.
O1 = OK
D. O1 = O2
OB = OJ
5.
7.
In the diagram below, RT intersects QU at point S.
Use the proof to answer the question below.
Given: AB = BC ; D is the midpoint of AC
Prove: ^ABD = ^CBD
Which postulate should be used to prove that
^RQS = ^TUS?
A.
Side–Side–Side
B.
Angle–Side–Angle
C.
Angle–Side–Side
D. Side–Angle–Side
Statement
Reason
1. AB = BC; D is the midpoint of AC
1. Given
2. AD = CD
3. BD = BD
2. De nition of Midpoint
3. Re exive Property
4. ^ABD = ^CBD
4. ?
What reason can be used to prove that the triangles
are congruent?
A.
6.
8.
Jan proved that the two triangles below are
congruent.
AAS
B.
ASA
C.
SAS
D. SSS
In the gure below, AC = DF and OA = OD.
Which postulate did Jan use for her proof?
A.
SSS (Side-Side-Side)
B.
SAS (Side-Angle-Side)
C.
AAS (Angle-Angle-Side)
D. ASA (Angle-Side-Angle)
Which additional information would be enough to
prove that ^ABC = ^DEF?
page 2
A.
AB = DE
B.
C.
BC = EF
D. BC = DE
AB = BC
Triangle Congruence
9.
Ricardo makes sails for sailboats. A customer
places an order for a right triangle sail, as shown
below.
10.
Triangles KOL and MON are shown below.
OK = OM and KL = MN.
Which of these is needed to prove that the
triangles are congruent by Angle-Side-Angle
(ASA)?
Note: The gure is not drawn to scale.
Which theorem guarantees that all triangles with
the measurements shown above will be congruent?
A.
Angle-Angle-Side (AAS)
B.
Side-Angle-Side (SAS)
C.
Angle-Side-Angle (ASA)
A.
O1 = O4
B.
C.
O2 = O4
D. O2 = O3
O1 = O3
D. Side-Side-Side (SSS)
11.
It is given that AC = AD and OCAB = ODAB.
By the re exive property of congruent segments,
AB = AB.
Which reason could be used to prove
^ABC = ^ABD?
page 3
A.
side-angle-side
B.
hypotenuse-leg
C.
side-side-side
D. angle-side-angle
Triangle Congruence
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Triangle Congruence
1.
Answer:
C
2.
Answer:
B
3.
Answer:
B
4.
Answer:
D
5.
Answer:
B
6.
Answer:
B
7.
Answer:
D
8.
Answer:
A
9.
10.
11.
Answer:
A
11/04/2013