Post on 27-Dec-2015
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