Quadrilaterals

Parallelogramquadrilateral with 2 pairs of parallel sides

• Opposite sides are congruent.

• Opposite angles are congruent.

• The diagonals bisect each other

• Opposite sides are parallel

• Two pairs of congruent sides

• Two pairs of parallel sides

• Diagonals bisect each other

• Diagonals are congruent

• All angles are 90 degrees

• A type of parallelogram

RectangleParallelogram with four right angles

• All congruent sides

• Two pairs of parallel sides

• Diagonals bisect each other

• Diagonals are congruent

• Diagonals bisect the vertexes

• Diagonals are perpendicular

• A type of parallelogram

RhombusParallelogram with four congruent sides

• All congruent sides

• Vertices are all 90 degrees

• Two pairs of parallel sides

• Diagonals are congruent

• Diagonals bisect the vertices

• Diagonals are perpendicular

•Diagonals bisect each other

• Both a rectangle and a rhombus

• A type of parallelogram

SquareParallelogram with four congruent sides and four right angles

• No parallel sides

• Two pairs of congruent sides

• Diagonals are perpendicular

• One diagonal bisects the other

• one diagonal bisects two angles

•Not a parallelogram

KiteQuadrilateral with exactly one pair of parallel sides

• Two parallel sides known as bases

• Two non-parallel sides known as

legs

• Base angles, angles that share the

same base, are congruent

• Diagonals of a Isosceles trapezoid,

a trapezoid with congruent legs, are

congruent

• Midsegment (segment joining the

midpoints of the legs) is parallel to

the bases and ½ their added lengths

•Not a parallelogram

TrapezoidQuadrilateral with exactly one pair of parallel sides

Missions

The given shape is a parallelogram.

Mission:

Find X, Y, and Z!

A B

CD

E

60

X

Y

Z

The given shape is a parallelogram.

Mission:

Find the length of DB, and the values of X!

2x

6

3

4

X

Y

Z

The given shape is a rectangle.

Mission:

Find X, Y, and Z!

4y

24

3x

7

5

The given shape is a rectangle.

Mission:

Find X, Y and the full length of one diagonal!

The given shape is a rhombus.

Mission:

Find X, Y, and Z!

The given shape is a rhombus.

Mission:

Find X and Y!

30

X

Y

Z 4

2y

2x+2

3x

The given shape is a rectangle and a rhombus.

Mission:

Find X and Y, and find out what shape this is!

The given shape is a square.

Mission:

Find X, Y, and Z!

5

X

X

Y

4z+8

3z

Y

The given shape is a kite.

Mission:

Find X, Y, and Z!

The given shape is a kite.

Mission:

Find X and Y!

X

Y

Z

15

7

X

2YY

30

The given shape is a trapezoid.

Mission:

Find X and Y!

The given shape is an isosceles trapezoid. X+Y=14.

Mission:

Find X, Y, and Z!

50X

Y

7

9

7

XX

Y

9 Z

Good Job!Another great day solving problems

and you’ve caught all the quadrilaterals!

Keep up the good work and maybe you’ll be

promoted to a more peaceful job and get to

hunt down troublemakers from behind a desk.

Who knows, you may even get to use a

calculator. Anyways, until then your just

going to have to keep up the hard work and

pass the tests.

Good Luck!

PS: The silly spy theme only masks the

message: “Good luck”!

Enter

Hey, no looking at the answers! That’s cheating!

Access Code: 1 2 3

5 64

7 8 9

Access Denied!

60

X

Y

Z

Congratulations, you completed the mission!

X= 4

Y= 3

Z= 60

3

4

A B

CD

E2x

6

X= 3

DB= 12

Congratulations, you completed the mission!

X

Y

Z

7

5

X= 5

Y= 7

Z= 90

Congratulations, you completed the mission!

4y

24

3x

X= 8

Y= 6

Diagonal= 48

Congratulations, you completed the mission!

X= 30

Y= 90

Z= 4

Congratulations, you completed the mission!

30

X

Y

Z 4

X= 2

Y= 3

Congratulations, you completed the mission!

2y

2x+2

3x

X= 5

Y= 7

Shape= Quadrilateral, Parallelogram, Rectangle, Rhombus, Square

Congratulations, you completed the mission!

5

X

Y

X= 45

Y= 90

Z= 4

Congratulations, you completed the mission!

X

Y

4z+8

3z

X= 15

Y= 7

Z= 90

Congratulations, you completed the mission!

X

Y

Z

15

7

X= 60

Y= 30

Congratulations, you completed the mission!

X

2YY

30

X= 50

Y= 8

Congratulations, you completed the mission!

50X

Y

7

9

X= 7

Y= 7

Z= 9

Congratulations, you completed the mission!

7

XX

Y

9 Z