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100

What is the definition of a parallelogram?

A quadrilateral in which opposite sides are parallel.

100

If one base of a trapezoid is 8 and the other base is 10, what is the length of the mid segment?

6

100

If two pairs of opposite sides are equal, what can be concluded?  

The quadrilateral is a parallelogram.

100

What can be said if both pairs of opposite angles are equal?  

The quadrilateral is a parallelogram.

100

If the are perpendicular to each other, what type of quadrilateral is it?  

It is a rhombus!

200

What is the sum of the interior angles of a parallelogram?  

360°

200

Consider parallelogram ABCD. If the length of side AB is 8, what is the length of the side CD?  

8 (because opposite sides are equal).

200

What are the opposite angles in a parallelogram?  

They are equal/congruent.

200

Consider parallelogram ABCD. If angle A = 70°, what is angle C?  

70° (because opposite angles are equal).

200

Consider parallelogram ABCD. If side AB = 10 and BC = 5, what is the length of CD?

CD=10 (because opposite sides are equal).


300

What is the definition of a rectangle?  

A parallelogram with four right angles.

300

What defines a rhombus?

A parallelogram with all sides equal.

300

How is a square different from a rectangle?

A square has all sides equal and all angles are right angles, a rectangle does not have 4 congruent sides.

300

What theorem or corollary can be used to prove a quadrilateral is a rectangle?  

Corollary 7.3/Rectangle Corollary

300

What properties do trapezoids share with parallelograms?

Trapezoids have one pair of opposite sides (called bases) that are parallel!

400

What does the Trapezoid Mid segment Theorem state?  

The mid segment of a trapezoid is parallel to both bases and its length is the average (or half of the sum) of the lengths of the bases.

400

What are ALL the conditions (details from theorems!) that would make a quadrilateral a parallelogram?

Opposite sides are equal/congruent, opposite angles are equal/congruent, one set of sides is both parallel and congruent or the diagonals bisect each other.

400

What is true about the diagonals of an isosceles trapezoid?

They are equal/congruent!

400

If the legs of a trapezoid are 10 and 14, what is the length of the mid segment?

It is the average of the two bases, so the mid segment = 12!

400

What is the relationship between the mid segment and the parallel bases? 

The mid segment is half the sum of the lengths of the bases.

500

What is the quadratic formula useful for?

Solving ANY quadratic equation, whether it is factorable or not!

500

Factor and solve! x2-4 = 0

x=2 x=-2

500

Factor and solve! x2+18x+81=0

x=-9

500

What is the quadratic formula?!

x=-b±√b2-4ac/2a

500

Factor and solve! x2-3x-18=0

x=6 x=-3