Parallelograms
True or False. The Diagonals in a parallelogram bisect each other.
What is the measure of 1 exterior angle of a rectangle?
90°
How many sides have the same exact length in a rhombus?
4
A square is also considered a sub-category of these 3 shapes.
Rectangle, Rhombus, Parallelogram
Name the quadrilateral: Two pairs of consecutive sides are congruent.
Kite.
One side of a parallelogram is 35 meters, the perimeter of the parallelogram is 100 meters, what are the lengths of the remaining sides?
35 meters
15 meters
15 meters
True or False. The diagonals is a rectangle or perpendicular.
False. They are congruent but not perpendicular.
The diagonals in a rhombus have these 2 unique properties, what are they?
Diagonals are perpendicular.
Squares have diagonals that are both congruent and...
perpendicular.
Name the quadrilateral.
1. 1 pair of parallel sides.
2. a pair of congruent sides.
Isosceles Trapezoid.
If one angle of a parallelogram is
65° what is the degree measure of its adjacent angle?
115°
The diagonals of a rectangle intersect. If one diagonal is 18 units long, what is the distance from the center of the rectangle to one of the angles?
9 units.
A rhombus has diagonals of lengths 12 and 16. What is the measure of each side of the rhombus?
10
A square has a diagonal with the length of 25 times the square root of 2. What is the perimeter of the square?
100
The diagonals of a kite are 10 and 12. What is the area of the kite?
60 square units.
ABCD is a paralellogram. If AB = 3x + 2 and CD = 20, find x. (Label the letters clockwise in order)
6
A rectangle has diagonals measuring 5x-2 and one half of one that is 2x+12. What is the diagonal?
128
In Rhombus ABCD side AB is 2x+1 and BC = 11. Find x. (label the points clockwise in order).
5
A square's side length is x + 3. If the perimeter is 32, what is x?
5
A trapezoid has base lengths of 8 and 14. What is the length of the midsegment?
11
A quadrilateral has a pair of opposite sides congruent; can it be classified as a parallelogram, if so what kind?
A rectangle has one side length of 6 and another side length of 8. What is the length of the diagonal?
Pythagorean Theorem = a squared + b squared = c squared
36 + 64 =x squared
100 = x squared
10 = x
Is the figure most specifically a rhombus?
Properties:
1.All sides are the same length.
2. Diagonals are perpendicular.
3. Diagonals are congruent.
No, it is most specifically a square.
Is this quadrilateral most specifically square?
Properties:
1. Diagonals bisect each other.
2. Diagonals are congruent.
3. Diagonals are perpendicular.
Yes
Classify the quadrilateral.
1 pair of opposite congruent sides.
General Quadrilateral