How many sides does a quadrilateral have?
4 sides
What is the total interior angle measure of a rhombus?
360 degrees
What is the area for a rectangle
A = lw or A = bh
Name of of the methods for proving that a quadrilateral is a parallelogram.
1. Both pairs of opposite sides are congruent
2. Both pairs of opposite sides are parallel
3. Both pairs of opposite angles are congruent
4. One pair of opposite sides are congruent and parallel
5. Diagonals bisect each other
What is the formula for slope?
m = (Δy)/(Δx) (rise over run)
Diagonals are what to each other in a Rhombus?
Perpendicular
Diagonals are what to each other in a rectangle
Congruent
If a length of a square is represented by the expression x, what expression represents the square's area?
x2
List the five ways we learned how to prove two triangles congruent.
SSS, SAS, AAS, ASA, HL
What is the perimeter of a square with a side length of 5?
20
If Quad ABCE were a parallelogram with AO = 12-x and CO = 5x, what would be the value of x?
x = 2
If quad ABCE were a rectangle with <BAO = 50 degrees. What is the angle measure of <EAO?
40 Degrees
What is the formula for the area of a trapezoid?
A = 1/2 h (b1+b2)
An angle bisector does what to an angle?
Divides an angle into two smaller angles.
What is the reason why we can declare that Line Segment SG is congruent to Line Segment SG?
Why is something congruent to itself?
Reflexive Property
What are two of the properties of an isosceles trapezoid?
At least on pair of opposite sides are congruent
Legs are congruent
Base angles are congruent
Diagonals are congruent.
What type of angles are <BCA and <EAC?
Alternate Interior Angles
What is the area of a rhombus with diagonal lengths of 4 and 5?
10
Name of of the methods for proving that a parallelogram is also a rectangle?
1. Show congruent diagonals
2. Show at least one right angle
If the hypotenuse of a right triangle is 5 units and one of the legs is 4 units, what is the length of the other leg?
3 units
Name all of the properties of a square?
(Properties of a parallelogram, rectangle and rhombus)
1. Opposite sides are parallel
2. Opposite sides are congruent
3. Opposite angles are congruent
4. Diagonals bisect each other
5. Consecutive angles are supplementary
6. Diagonals are congruent
7. Consecutive sides are perpendicular (90 degrees)
8. Diagonals bisect the angles they are attached to
9. Diagonals are perpendicular to each other
10. Consecutive sides are congruent
If quad ABCE were a rectangle with BE = 6x-4 and AC= 4x+10, what is the length of BE?
BE = 38
What is the area of a square with an diagonal length of sqrt(2)
1
What are the steps for proving a quadrilateral is a square?
1. Parallelogram
2a. Rectangle then Rhombus
2b. Rhombus then Rectangle
What is the distance fomrula?