Download 15-3 quad hw - WordPress.com

Name: ______________________________________
Topic: Quadrilateral review
Reference Guide: Geometry Regents
Parallelogram Properties
1)
2)
3)
4)
2 sets of opposite sides are parallel
2 sets of opposite sides are congruent
Diagonals bisect each other
One pair of opposite sides are congruent and parallel
Rectangle Properties
1)
2)
3)
4)
5)
6)
2 sets of opposite sides are parallel
2 sets of opposite sides are congruent
Diagonals bisect each other
One pair of opposite sides are congruent and parallel
Diagonals are congruent
Adjacent sides are perpendicular
Rhombus Properties
1)
2)
3)
4)
5)
6)
2 sets of opposite sides are parallel
2 sets of opposite sides are congruent
Diagonals bisect each other
One pair of opposite sides are congruent and parallel
Adjacent sides are congruent
Diagonals are perpendicular
Square Properties
1)
2)
3)
4)
5)
6)
7)
8)
2 sets of opposite sides are parallel
2 sets of opposite sides are congruent
Diagonals bisect each other
One pair of opposite sides are congruent and parallel
Diagonals are congruent
Adjacent sides are perpendicular
Adjacent sides are congruent
Diagonals are perpendicular
Trapezoid Properties
1)
ONLY 1 set of opposite sides are parallel
Isosceles Trapezoid Properties
1)
2)
3)
ONLY 1 set of opposite sides are parallel
ONLY 1 set of opposite sides are congruent (legs)
Diagonals are congruent
Quadrilateral Family Tree or Geome”tree”
15-3 HW
1. Which statement is not always true about a rectangle?
1) The diagonals are perpendicular
3) The adjacent sides are perpendicular.
2) The opposite sides are congruent.
4) Two sets of opposite sides are parallel.
2. In the diagram below of rhombus ABCD,
What is
.
?
3. In the accompanying diagram of parallelogram ABCD, mA  2x 10 and mB  5x 15 . Find the m<CBA.
4)
5. In the diagram below, quadrilateral STAR is a rhombus with diagonals
and
,
,
,
,
, and
a) Solve for SR
b) Solve for RT
c) Solve for
6. Given: ABCD is a parallelogram with diagonals AC and BD intersecting at E.
intersecting at E.
.
,
7.
8) In which quadrilateral are the diagonals not congruent to each other?
(a) isosceles trapezoid
(b) rhombus
(c) rectangle
(d) square
9) Which statement is true?
(a) Every square is a rhombus.
(b) Every rhombus is a square.
(c) Every trapezoid is a parallelogram.
(d) Every parallelogram is a rectangle.
10) Which is an example of a quadrilateral whose adjacent sides are always perpendicular?
(a) a parallelogram
(b) a rhombus
(c) an isosceles trapezoid
(d) a rectangle
11)
12.