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Graded Assignment
MTH203A: Geometry | Unit 4 | Lesson 18: Congruent Polygons and Special Quadrilaterals Unit Test
Name:
Date:
Graded Assignment
Unit Test, Part 2
Answer the questions below. When you are finished, submit this test to your teacher by the due date for full credit.
(10 points)
1.
Score
Provide the reasons for the proof.
Given: Square ABCD, Diagonals AC and BD
Prove: DEC and BEC are right angles.
Answer:
Statements
a. Square ABCD
Reasons
a. Given
b.
DC  BC
b.
c.
DE  BE
c.
d.
EC  EC
d. Reflexive Property of Congruence
e. DEC  BEC
f.
DEC  BEC
e.
f.
g. mDEC = mBEC
g. Definition of congruence
h. DEC supp BEC
h.
i.
mDEC + mBEC = 180
i.
Definition of supplementary angles
j.
mDEC = mBEC = 90
j.
Substitution and Division Property of Equality
k. DEC and BEC are right angles.
© 2006 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
k. Definition of a right angle
Page 1 of 2
Graded Assignment
MTH203A: Geometry | Unit 4 | Lesson 18: Congruent Polygons and Special Quadrilaterals Unit Test
(5 points)
2.
Construct a square by using only a compass and straightedge. Explain your steps clearly.
Score
Answer:
(5 points)
3.
If PQ = 21 cm and QR = 5 cm, then what are the possible lengths for PR so that PQ , QR , and
Score
PR can form a triangle? Explain your reasoning.
Answer:
Your Score
© 2006 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
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