Quadrilaterals Worksheet With Answers Page 8
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50f) ∠ BCA ≅ ∠ DAC
If 2 parallel lines are cut by a transversal,
then the alternate interior angles are
congruent.
≅
are ≅ .
g)
DC
AB
The opposite sides of a
h) ∠ DCB ≅ ∠ BAD
are ≅ .
The opposite angles of a
are ≅ .)
2. a)
DE = FR
(The opposite sides of a
3x - 2 = 2x + 7
(Substitution)
x = 9
(Addition/subtraction properties of equality)
DE = 3 • 9 – 2 = 27 – 2 = 25 cm
5
• 9 + 4 = 15 + 4 = 19 cm
DF = RE =
3
m ∠ F = m ∠ E
are ≅ .)
b)
(The opposite angles of a
8x – 15 = 5x + 21
(Substitution)
3x = 36
(Addition/subtraction properties of equality)
x = 12
(Division/multiplication property of equality)
9
m ∠ D =
• 12 + 45 = 54 + 45 = 99
2
m ∠ R = m ∠ D = 99
3. b) R(6,8)
4. b) By the definition of a parallelogram, opposite sides are parallel. Parallel
lines have equal slopes. We can show quadrilateral RSTV has opposite
sides parallel by comparing the slopes of the lines containing the sides.
We will use the slope formula given below to find the slope of each side in
the coordinate plane.
Slope Formula
The slope (m) of the line containing the
points (x
y
) and (x
y
) is given by the
1,
1
2,
2
formula:
−
(
y
y
)
2
1
m =
−
(
x
x
)
2
1
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