Name ______Date ______
Chapter Test B
For use after the chapter “Congruent Triangles”
Find the value of x. Then classify the triangle by its angles.
1. 2.
3. 4.
In the diagram, QRS XYZ. Find the measure.
5. mR
6. XY
7. mX
8. mS
In Exercises 9 and 10, tell whether a rigid motion can move
the solid figure onto the dashed figure. If so, describe the
transformation(s) that you can use. If not, explain why the
figures are not congruent.
9. 10.
11. Jackson describes a transformation in the coordinate plane using the
notation (x, y) → (–x, y). Explain why this is a rigid motion.
State the congruence that is needed to prove ABC DEF
using the given postulate or theorem.
12. Given: Use
the Hypotenuse-Leg
Congruence Theorem.
13. Given:
Use the SSS Congruence Postulate.
14. Given: A D, B E;
Use the AAS Congruence Theorem.
15. Given: A D, C F;
Use the ASA Congruence Postulate.
Name ______Date ______
Chapter Test B continued
For use after the chapter “Congruent Triangles”
Decide whether the triangles can be proven congruent by the
given postulate or theorem.
16. LMN CBA by HL 17. TWX YWX by ASA
Find the value of x.
18. 19.
20. 21.
Sketch the image of the figure after the translation.
22. (x, y) → (x + 7, y – 3) 23. (x, y) → (x – 6, y + 4)
Use the diagram. What number does the hour hand point to
when it is transformed in the following way?
24. Reflection in the x-axis
25. Reflection in the y-axis
26. Rotated 90° clockwise
27. Rotated 120° counterclockwise
Name ______Date ______
Chapter Test C
For use after the chapter “Congruent Triangles”
A triangle has the given vertices. Classify the triangle
by its sides.
1. A(1, 1), B(2, 4), C(3, 1) 2. W(1, 1), X(1, 4), Y(5, 4)
Find the values of x and y.
3. 4.
5. 6.
7. 8.
In Exercises 9 and 10, tell whether a rigid motion can move
the solid figure onto the dashed figure. If so, describe the
transformation(s) that you can use. If not, explain why the
figures are not congruent.
9. 10.
11. Keysha describes a transformation in the coordinate plane using the
notation (x, y) → (3x, y + 2). Explain why this is not a rigid motion.
Is it possible to prove that the triangles are congruent? If so,
state the postulate or theorem you would use.
12. ABD CDB 13. EFG LNM
Name ______Date ______
Chapter Test C continued
For use after the chapter “Congruent Triangles”
Is it possible to prove ABC DEF using the given
information? If so, state the postulate or theorem
that you would use.
14.
15.
16.
17.
An image and the translation are given. Sketch the
original figure.
18. (x, y) → (x + 5, y – 1) 19. (x, y) → (x – 5, y + 2)
Is Figure A a rotation of Figure B? If so, give the angle and
direction of rotation.
20. 21.
22. The stencil below on the left is used to create the design shown on
the right. Describe how to reflect the stencil to move it from A to C.
Answers for Congruent Triangles
Chapter Test B
1. 25; obtuse 2. 15; obtuse 3. 20; acute
4. 10; equiangular 5. 75° 6. 6 7. 55° 8. 50°
9. No; a reflection maps twp sides to congruent
sides, but the other sides are not congruent.
10. yes; reflection in the line y = x
11. The function rule describes a reflection in the
y-axis. A reflection is a rigid motion.
12. 13.
14. or 15.
16. no 17. yes 18. 3 19. 11 20. 9 21. 30
22. 23.
24. 4 25. 10 26. 5 27. 10
Chapter Test C
1. isosceles 2. scalene 3. x = 75, y = 60
4. x = 80, y = 60 5. x = 60, y = 60
6. x = 40, y = 70 7. x = 5; y = 10
8. x = 2, y = 3 9. No; a rotation does not map
one figure onto the other, because corresponding
sides are not congruent.
10. No; a rotation or reflection maps one side to a
congruent side, but other sides are not congruent.
11. The function rule stretches points horizontally
away from the y-axis and then moves points 2
units up. The transformation does not preserve
lengths and angle measures.
12. yes; SAS 13. yes; HL
14. yes; SSS 15. no 16. no 17. yes; AAS
18. 19.
20. no 21. yes; 90° clockwise 22. reflect in the
x-axis, then reflect in the y-axis or reflect in the
y-axis, then reflect in the x-axis