Expert answer:Polygons excersices, math homework help

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3_polygons___special_quadrilaterals_questions.doc

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1.
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.
k. Definition of a right angle
2. Construct a square by using only a compass and straightedge. Explain your steps clearly.
3. If PQ = 21 cm and QR = 5 cm, then what are the possible lengths for PR so that
form a triangle? Explain your reasoning.
PQ , QR , and PR can
…
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