Identify the Shape
True or False
Find
Sometimes, Always or Never
Wild Card
100
Which quadrilaterals always have diagonals that are congruent?
Rectangles and squares
100
All quadrilaterals are parallelograms.
False
100
Find m<PQR in the Rhombus.
m<PQR=120
100
A square is a rectangle.
Always
100
How many types of special parallelograms did we learn about?
3
200
Which quadrilaterals always have diagonals that are perpendicular?
Rhombuses and squares
200
A parallelogram with 4 right angle is always a rectangle.
True
200
x = 1
y = 1/2
200
A rectangle is a square.
Sometimes
200
What were 2 properties we used to prove parallelograms based on their sides?
Parallel & congruent
300
Which quadrilaterals have diagonals that DO NOT bisect opposite angles?
Rectangles and parallelograms
300
All rhombuses are squares
False
300
Find the value of z & w in the parallelogram.
z = 11, w = 4.5
9z+19=11z-3, 19=2z-3, 22=2z, z=11
plug in 11 ... m<H= 11(11)-3 = 118
m<G + m<H = 180, so m<G=62
solve ... 14w-1=62, w=4.5
300
A rectangle has perpendicular diagonals.
Sometimes
300
How many properties are shared between all the special parallelograms? Then name them.
5:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other
400
Which quadrilaterals always have diagonals that bisect each other?
Parallelograms, rectangles, rhombuses, and squares
400
A parallelogram with perpendicular diagonals is a rhombus.
True
400
Find WZ if VZ= 6 and WX = 10
WZ = 8
62 + (WZ)2 = 102
400
A parallelogram has diagonals that bisect each other.
Always
400
Classify the quadrilateral if possible and explain your thinking.
Diagonals bisect each other making it at least a parallelogram, but they are also perpendicular meaning it must be a rhombus.
500
Which quadrilaterals always have consecutive angles that are supplementary?
Parallelograms, rectangles, rhombuses, and squares
500
A parallelogram with four congruent sides is a square.
False
500
If the figure is a square find the measure of each angle.
m<1=90 m<2=m<3=m<4=m<5 = 45
Since diagonals are congruent, perpendicular, and bisect each other the individual triangles are all right isosceles triangle. Also the corners are 90 degrees and the diagonals bisect those angles.
The angle measures in each are 45, 45, & 90 degrees.
500
The diagonals of a rhombus are perpendicular.
Always
500
Classify the quadrilateral if possible, explain your thinking.
Not enough information, we would need another 90 degree angle to get some parallel sides or more sides congruent.