Page 37 - Math Course 3 (Book 2)

Properties of Trapezoids

–1 – 1 Your Turn!
Slope of AB =
–3 – 5
–2 1
= or Identify Isosceles Trapezoids
4
–8
The sides of a picture frame appear to be two
1 – 4 adjacent trapezoids. Determine if they are isosceles
Slope of AD = trapezoids.
5 – 2
–3
= or –1 A. yes
3
B. no
C. cannot be determined
4 – 3
Slope of CD =
2 – (–2)
4 Answer
=
1

3 – (–1) Identify Trapezoids
Slope of BC =
–2 – (–3)
4 QRST is a quadrilateral with vertices Q(–3, –2),
= or 4 R(–2, 2), S(1, 4), and T(6, 4). Verify that QRST is a
1
trapezoid.
A. yes
Exactly one pair of opposite B. no
Answer sides are parallel: AB and CD C. cannot be determined
so, ABCD is a trapezoid

Answer
ABCD is a quadrilateral with vertices A(5, 1),
B(–3, 1), C(–2, 3), and D(2, 4). Determine whether
ABCD is an isosceles trapezoid. Explain.

Use the Distance Formula to show that the legs
are congruent.
QRST is a quadrilateral with vertices Q(–3, –2),
AD = (2 – 5) + (4 – 1) 2 R(–2, 2), S(1, 4), and T(6, 4). Determine whether
2
QRST is an isosceles trapezoid.
= 9 + 9
A. yes
= 18 B. no
C. cannot be determined

BC = [–2 –(–3) + [3 –(–1)] 2
2
Answer
= 1 + 16

= 17

Since the legs are not congruent,
Answer ABCD is not an isosceles
trapezoid.

29