Quadrilaterals Worksheet With Answers Page 16

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2. Given:
PQRS with diagonals
S
R
PR and SQ
Find x, y, and the indicated measures.
T
PT = (2x + y) cm
TR = 7 cm
ST = 5 cm
P
Q
TQ = (x + y) cm
PQ = (x + y + 1) cm
x = _________
y = _________
PQ= _________
3. Given:
ABCD
D
C
DE ⊥
AB
CF ⊥
AF
DE ≅
Prove:
CF
A
E
B
F
Complete the following proof with the appropriate statements and reasons.
Proof:
Statements
Reasons
1.
ABCD
1. __________________________
DE ⊥
CF ⊥
AB
,
AF
AD ≅
2.
BC
2. __________________________
3. ________________________
3. Opposite angles of a
4. ⊥ s form right ∠ s
4. _________________________
5. ∠ DEA ≅ ∠ CFB
5. _________________________
6. _________________________
6. AAS congruence theorem
DE ≅
7.
CF
7. ________________________

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