Congruence

Name: _______________________
Congruence and Similarity – Congruence
1
2
3
Determine if the two
figures are congruent by
using transformations.
Explain your reasoning.
Determine if the two
figures are congruent by
using transformations.
Explain your reasoning.
Determine if the two
figures are congruent by
using transformations.
Explain your reasoning.
Date: _______
Class: Pre-Algebra
6
5
Triangle XYZ is congruent to triangle MNL.
Determine which transformation(s) maps  XYZ
onto  MNL.
PART A Determine which transformation(s) maps  RST
onto  NML.
PART B Write congruence statements comparing the
corresponding parts.
Corresponding Angles
7
4
Sheet # 13-01
Corresponding Sides
Triangle UVW is congruent to triangle RST.
Determine which transformation(s) maps  UVW
onto  RST.
Determine if the two
figures are congruent by
using transformations.
Explain your reasoning.
Determine if the two
figures are congruent by
using transformations.
Explain your reasoning.
PART A Determine which transformation(s) maps  RST
onto  NML.
PART B Write congruence statements comparing the
corresponding parts.
Corresponding Angles
Corresponding Sides
8
Angle ABC has points A(-3, 4), B(-2, 1) and
C(2,2). Find the coordinates of the image of the
angle after a 90° clockwise rotation about the
origin, a translation of 2 units up, and a reflection
over the y-axis.
12
13
Answer A’_________ B’_________ C’_________
Gregory is creating a
mosaic for art class. He
started by using triangular
tiles as shown.
What are possible
transformations he used if
Figure A is the preimage
and Figure B is the image?
9
10
14
Miley is using a brace to support a tabletop. In the
figure, BCE  DFG . If mCEB  50 , what
is the measure of FGD ?
15
11
In the figure, ABC  EBD .
Part A On the figure, draw arc and tic marks to identify
the corresponding parts.
Part B Find the value of x.
Show your work.
16
Answer _______
Syed is making a congruence
statement for the congruent triangles shown. Find
his mistake and correct it.
Wires stretching from
the top of a telephone
pole to the ground
create two congruent
triangles,  PQR and
 SQR. Find QS.
Triangle MNO is congruent
to triangle RST. Which series
of transformations maps
 MNO onto  RST?
A
90° clockwise rotation about M then a reflection
B
translation then a dilation
C
90° clockwise rotation about M then a translation
D
reflection then a translation
Pentagon ABCDE is
congruent to pentagon
FGHIJ. Which series of
transformations maps
pentagon ABCDE onto
pentagon FGHIJ?
A
a 90° rotation about point B
B
a reflection followed by a rotation about point A
C
a 180° rotation about point C followed by a reflection
D
a reflection followed by a translation
Which of the following statements is not true if
CDE  FGH ?
A
C  F
C
CE  HG
B
H  E
D
DC  GF

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