Quiz Prep

Question 1

Ways to prove a shape is a parallelogram?

Answer 1

Show both pairs of opposite sides are parallel. Show both pairs of opposite sides are congruent. Show both pairs of opposite angles are congruent. Show one angle is supplementary to both of its consecutive angles. Show the diagonals bisect each other. Show one pair of opposite sides are congruent and parallel.

Question 2

Convex

Answer 2

A polygon is convex if no line that contains a side of the polygon contains a point in the interior.

Question 3

Concave

Answer 3

A polygon that is not convex.

Question 4

Properties of Parallelograms

Answer 4

Opposite sides of parallelograms are congruent. Opposite angles of parallelograms are congruent. Consecutive angles in a parallelogram are supplementary. The diagonals of a parallelogram bisect each other.

Question 5

Number of sides of a polygon and type of polygon

Answer 5

3: triangle
4: quadrilateral
5: pentagon
6: hexagon
7: heptagon
8: octagon
9: nonagon
10: decagon
12: dodecagon
n: n-gon

Question 6

Rhombus

Answer 6

Parallelogram that has 4 congruent sides

Question 7

Rectangle

Answer 7

Parallelogram with 4 right angles

Question 8

Square

Answer 8

Parallelogram with 4 congruent sides and 4 right angles

Question 9

Diagonal

Answer 9

Segment that joins 2 non consecutive vertices

Question 10

Rhombus Corollary

Answer 10

Quadrilateral is a rhombus IFF it has 4 congruent sides

Question 11

Rectangle Corollary

Answer 11

Quadrilateral is a rectangle IFF it has 4 right angles

Question 12

Square Corollary

Answer 12

A quadrilateral is a square IFF it is a rhombus and a rectangle

Question 13

Theorems about Special Parallelograms

Answer 13

A parallelogram is a rhombus IFF its diagonals are perpendicular. A parallelogram is a rhombus IFF each diagonal bisects a pair of opposite angles. A parallelogram is a rectangle IFF its diagonals are congruent

Question 14

Trapezoid

Answer 14

A quadrilateral with exactly one pair of parallel sides

Question 15

Bases

Answer 15

parallel sides

Question 16

Legs

Answer 16

Non-parallel sides

Question 17

Isosceles Trapezoids

Answer 17

If the legs of a trapezoid are congruent

Question 18

Midsegment

Answer 18

The segment that connects the midpoints of the legs

Question 19

Kite

Answer 19

A quadrilateral that has 2 pairs of consecutive congruent sides, BUT opposite sides are not congruent.

Question 20

Theorems about Trapezoids

Answer 20

If a trapezoid is isosceles then each pair of base angles is congruent. If a trapezoid has a pair of congruent base angles, Then its isosceles trapezoid. A trapezoid is isosceles IFF its diagonals are congruent

Question 21

Midsegment Theorem for Trapezoids

Answer 21

The mid segment of a trapezoid is parallel to each base and it length is half of the sum of the bases.

Question 22

Theorems about Kites

Answer 22

If a quadrilateral is a kite then its diagonals are perpendicular. If a quadrilateral is a kite then exactly one pair of opposite angles are congruent.