Quadrilaterals Worksheet With Answers Page 42
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502. We will first find the slopes of two adjacent sides to check for a right angle.
−
+
+
(
1
) 3
2
1
1 (
) 3
2
m
=
=
= -
m
=
=
AB
AD
−
−
−
+
(
2
) 2
4
2
2 (
) 0
1
1
2
• m
•
⇒
m
= -
= -1
AB
AD
⊥
AB
AD
2
1
Next, we will find the lengths of two adjacent sides and compare.
−
+
+
−
−
+
−
4 +
2
2
2
2
AB =
(
1
) 3
(
2
) 2
=
2
(
) 4
=
16
=
20 =2 5
+
+
+
4 +
16 +
2
2
2
2
AD =
1 (
) 3
2 (
) 0
=
2
=
4
=
20 = 2 5
We now have two adjacent sides congruent and one right angle. A square has
two adjacent sides congruent and one right angle.
Exercises
1. Complete the table below by placing a √ in the appropriate boxes to indicate
the properties of the given quadrilaterals.
Property
Parallelogram
Rectangle
Square
Rhombus
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Consecutive angles are
supplementary.
Diagonals are congruent.
Diagonals bisect each other.
Diagonals are perpendicular.
Either diagonal bisects a pair of
opposite angles.
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