Transcript Quadrilaterals

Quadrilaterals
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metryandmeasurement/polygons/
6.1 Parallelograms
• Opposite side of a parallelogram are
congruent
6.1 Parallelograms
• Opposite angles of a parallelogram are
congruent.
6.1 Parallelograms
• Consecutive angles of parallelogram are
supplementary.
1. In parallelogram ABCD, which pair of angles are not supplementary?
A.
D, C
B.
D, B
C.
B, C
D.
A, D
Hint
Hint
• Consecutive angles are supplementary.
2. Refer to the parallelogram below. Find
A.
123°
B.
127°
C.
120°
D.
110°
3. If PQRS is a parallelogram, find the value of y.
A.
75
B.
175
C.
115
D.
15
6.3 Rectangles
Rectangles
• If a parallelogram is a rectangle, then the
diagonals are congruent.
Rectangles
• If the diagonals of a parallelogram are
congruent, then the parallelogram is a
rectangle.
In rectangle ABCD, AC = 24 and
DE = 2x - 8. Find x.
A.
16
B.
7
C.
10
D.
13
Hint
Hint
• The diagonals of a rectangle are congruent
and bisect each other.
Which of the following is not necessarily true of a rectangle?
A.
Consecutive sides are congruent.
B.
All four angles are right angles.
C.
Diagonals are congruent and bisect each other.
D.
Consecutive angles are supplementary.
The coordinates of three vertices of a rectangle are
(0, 4), (2, 3), and (-1, -3). What is the fourth vertex?
A.
(-3, 0)
B.
(-3, -2)
C.
(-3, 10)
D.
(-3, -4)
If ACDF is a rectangle, what is mAEC?
A.
90°
B.
135°
C.
45°
D.
70°
Hint
Hint
• Find the measures of the two angles adjacent
to AEC.
In the figure of the rectangle, which pair of
angles is not necessarily complementary?
A.
5 and 6
B.
3 and 8
C.
1 and 7
D.
2 and 3
Hint
HINT
A rectangle is a parallelogram with four right
angles.