Polygon Test

Question 1

What is a regular polygon?

Answer 1

A polygon whose sides/angles are congruent

Question 2

What is an irregular polygon?

Answer 2

A polygon whose sides/angles do not have to be congruent

Question 3

Define convex

Answer 3

A shape whose sides are pointing outwards

Question 4

What makes a shape convex? (2)

Answer 4

No two line segments face inward
Interior angles are always less than 180

Question 5

Define concave

Answer 5

A polygon that has at least one interior angle measuring more than 180, causing one of its vertices to appear to be pushed inward

Question 6

3-sided shape

Answer 6

Triangle

Question 7

4-sided shape

Answer 7

Quadrilateral

Question 8

5-sided shape

Answer 8

Pentagon

Question 9

6-sided shape

Answer 9

Hexagon

Question 10

7-sided shape

Answer 10

Heptagon

Question 11

8-sided shape

Answer 11

Octagon

Question 12

9-sided shape

Answer 12

Nonagon

Question 13

10-sided shape

Answer 13

Decagon

Question 14

Formula to find the sum of all interior angles

Answer 14

(number of sides-2) * 180

Question 15

Formula to find the sum of one interior angle

Answer 15

(number of sides-2) * 180 / number of sides

Question 16

Sum of all exterior angles

Answer 16

360

Question 17

Formula to find the sum of one exterior angle

Answer 17

360 / number of sides

Question 18

Properties of a parallelogram (5)

Answer 18

Opposite sides are congruent
Opposite sides are parallel
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other

Question 19

Define rhombus

Answer 19

A parallelogram with four congruent sides

Question 20

Define rectangle

Answer 20

A parallelogram with four right angles

Question 21

Define square

Answer 21

A parallelogram with four congruent sides and four right angles

Question 22

Properties of a rhombus (3)

Answer 22

Four congruent sides
Diagonals are perpendicular
Each diagonal bisects a pair of opposite angles

Question 23

Properties of a rectangle (2)

Answer 23

Four right angles
Diagonals are congruent

Question 24

Properties of a square (5)

Answer 24

Four congruent sides
Four right angles
Diagonals are perpendicular
Diagonals are congruent
Each diagonal bisects a pair of opposite angles

Question 25

Define trapezoid

Answer 25

A quadrilateral with only one pair of parallel sides

Question 26

Properties of a trapezoid (2)

Answer 26

One pair of sides are parallel Vertical consecutive angles are supplementary

Question 27

What are the parallel sides of a trapezoid called?

Answer 27

Bases

Question 28

What are the non-parallel sides of a trapezoid called?

Answer 28

Legs

Question 29

What are the additional properties of an isosceles trapezoid? (3)

Answer 29

Legs are congruent Base angles are congruent Diagonals are congruent

Question 30

What is a trapezoid midsegment?

Answer 30

A segment that connects the midpoints of the trapezoid's legs

Question 31

Formula to find the length of a trapezoid midsegment

Answer 31

(base 1 length + base 2 length) / 2

Question 32

Define kite

Answer 32

A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides that are not congruent

Question 33

Properties of a kite (2)

Answer 33

Diagonals are perpendicular One pair of its opposite angles are congruent