Quadrilaterals Review (Chapter 13)

Which of the following is a property of a parallelogram?

• Each pair of opposite sides is congruent.

• Only one pair of opposite angles is congruent.

• Each pair of opposite angles is supplementary.

• There are four right angles.

Tags

CCSS.HSG.CO.C.11

For parallelogram ABCD, find  $m\angle1$  .

• 60

• 54

• 36

• 18

Tags

CCSS.HSG.CO.C.11

ABCD is a parallelogram with diagonals intersecting at E. If  $AE=3x+12$  and  $EC=27$  , find the value of  $x$  .

• 5

• 17

• 27

• 47

Tags

CCSS.HSG.CO.C.11

Find the values of x and y so that the quadrilateral is a parallelogram.

• $x=13,\ y=24$

• $x=13,\ y=6$

• $x=7,\ y=24$

• $x=7,\ y=6$

Tags

CCSS.HSG.CO.C.11

ABCD is a rectangle. If  $AC=5x+2$  and  $BD=x+22$ , find the value of  $x$  .

• 5

• 6

• 11

• 26

Tags

CCSS.HSG.CO.C.11

Which of the following is true for all rectangles?

• The diagonals are perpendicular.

• The diagonals bisect the angles.

• The consecutive sides are congruent.

• The consecutive sides are perpendicular.

Tags

CCSS.HSG.CO.C.11

For rhombus GHJK, find  $m\angle1$  .

• 22

• 44

• 68

• 90

Tags

CCSS.HSG.CO.C.11

The diagonals of square ABCD intersect at E. If  $AE=2x+6$  and  $BD=6x-10$ , find  $AC$ .

• 11

• 28

• 56

• 90

Tags

CCSS.HSG.CO.C.11

For isosceles trapezoid MNOP, find  $m\angle MNP$ .

• 44

• 64

• 80

• 116

For kite PQRS, find  $m\angle S$ .

• 68

• 112

• 124

• 248