Algebra with Sides
Parallelogram ABCD has AB=32 and BC=45. Determine the length of CD.
32
True or False?
Diagonals intersect at the center of the shape.
True
360 degrees
T/F
2 sets of parallel sides
T
Parallelogram ABCD has diagonals AC=32 and BD=24 and intersect at Y.
The length of AY
16
If ABCD is a parallelogram and angle A = 2x + 40, and angle B = 3x - 10. What equation can we set up to solve for x?
2x+40 + 3x-10 = 180
(Consecutive Angles are Supplementary)
The word that describes where the diagonals intersect
Midpoint
Opposite angles of a triangle
Congruent
The word to describe two equal angles or sides
Congruent
Parallelogram ABCD has diagonals that intersect at Y. BY=2x+7 and YD=5x-23.
The setup to solve for x.
If ABCD is a parallelogram, and AB = 3x - 5, and
BC = 6x - 2, and AD = 2x + 12. Explain or set up the equation used to solve for X.
Set the expressions for sides BC and AD equal to one another.
6x-2 = 2x+12
The word to describe how the diagonals divide/"cut" each other
Bisect
The vocabulary word that defines angles next to each other (hint: not a property!)
Consecutive
The sides of a parallelogram that are parallel
Opposite
Parallelogram ABCD has diagonals AC=24 and AY=5-9x and intersect at Y.
The setup to find X.
0.5 (24)= 5-9x OR 24= 2(5-9x)
Parallelogram ABCD has angles BAD=8x-12 and ADC=3x+5.
The measure of angle BAD.
x=17
BAD=8x-12 and 8(17)-12, so BAD=124.
T/F
Diagonals bisect an angle
False
(only T for certain parallelograms!)
Consecutive angles are
Supplementary
T/F
Consecutive sides are congruent
False
Parallelogram ABCD has diagonals AC=82 and AY=31-2x and intersect at Y.
The value of x.
-5
In parallelogram ABCD, diagonals AC and BD intersect at Y. If angle A = 85, and AY = 3x + 10, and YC = 7x - 30, Find the measure of angle C and the value of x.
Angle C is 85 degrees, and x = 10, because the diagonals bisect each other.
What is true about the angles created by the diagonals?
Alt. interior angles are congruent.
If angle BCD=134 and DCY=71, the angle BCY=...?
63
To prove a quadrilateral is a parallelogram, show which of the following: ( You may choose more than one. ) I.) Both pairs of opposite sides are congruent. II.) Both pairs of opposite sides are parallel. III.) Both pairs of opposite angles are congruent. IV.) The diagonals are congruent.
I, II, and III only. The diagonals are not congruent, they BISECT EACH OTHER.
If angle BAY=32 degrees and DCY=3x+2, x=...?
10