Polygons chp 8

Question 0

Describe the exterior angle sum theorem

Answer 0

IF THE POLYGON IS COVEX : The sum of the measures of the exterior angles is 360

Question 1

What is the interior angle sum theorem

Answer 1

S= 180(n-2)
n is sides of the polygon
S is the sum of measures of its interior angles

Question 2

How to find the sum of measures of an exterior angles if the polygon is convex?

Answer 2

Divide number of angles by 360

Question 3

What is a parallelogram?

Answer 3

Quadrilateral with both pairs of opposite sides parallel

Question 4

List the four statements that are true if the object is a parallelogram

Answer 4

1. Opposite sides of a parallelogram are congruent
2. Opposite angles of a parallelogram are congruent
3. Consecutive angles of a parallelogram are supplementary
4. Parallelogram has one right angle that it has four right angles

Question 5

What are the diagonals of a parallelogram?

Answer 5

They bisect each other inside the parallelogram

Question 6

List the three statements that are true about the diagonals of a parallelogram

Answer 6

1.Each bisected part is congruent
Ex: AP = PC see lesson 8-2
2. Separates the parallelogram into two congruent triangles
3. Alternate interior angles are formed by the diagonals

Question 7

What makes a quadrilateral a parallelogram?

Answer 7

1. both pairs of opposite sides parallel
2. Opposite sides and angles are congruent
3. Consecutive angles equal 180
4. If a parallelogram has one right angle it has four right angles

Question 8

What is special about the diagonals of a parallelogram?

Answer 8

They bisect each other and separate the parallelogram into two congruent triangles

Question 9

What makes a quadrilateral a rectangle?

Answer 9

Opposite sides are parallel, opposite angles/sides are congruent, consecutive angles are equal to 180, diagonals bisect each other, all four angles equal to 90, diagonals are congruent

Question 10

What makes a quadrilateral a rhombus?

Answer 10

Properties of parallelogram, diagonals are perpendicular, each diagonal bisects pair of opposite angles, diagonals are perpendicular.

Question 11

What makes a quadrilateral a square?

Answer 11

If it has the properties of a rhombus and properties of a rectangle

Question 12

What is a trapezoid?

Answer 12

One pair of parallel sides, also known as bases, and pair of nonparallel sides

Question 13

What makes an isosceles trapezoid?

Answer 13

Non-parallel sides are congruent and base angles are congruent

Question 14

What is the median do to a trapezoid?

Answer 14

The median is parallel to the bases.

Question 15

How do you find the median of a trapezoid? How do you get rid of the fraction?

Answer 15

1/2(base1 + base2) multiply both ends by two

Question 16

Recite the pythagorean theorem

Answer 16

the legs squared equal the hypotenuse squared

Question 17

How to use the pythagorean theorem with altitude?

Answer 17

each leg a and b is geometric mean between hypotenuse c and the segment of the hypotenuse adjacent to that leg.

Question 18

How to find hypotenuse in a 45-45-90 right triangle? How to find the leg?

Answer 18

H= L times square root of 2

L=1/2 H square root of 2

Question 19

List the 7 properties of rectangles.

Answer 19

1. opposite side are parallel/congruent. 2. Opposite angles are congruent 3. Consecutive angles are = 180
2. all four angles are 90. 5. the diagonals bisect each other/ are congruent

Question 20

How to find hypotenuse in a 30-60-90 triangle? The long leg? The short leg?

Answer 20

hypotenuse is twice the shorter leg. SL=1/2H

LL=1/2Hsqrt. of 3 Combine both: LL= SL sqrt. of 3

Question 21

What make a parallelogram a rectangle?

Answer 21

the diagonals are congruent

Question 22

Formula for sin ratio? R stands for the angle they give you.

Answer 22

leg opposite angle R/hypotenuse

Question 23

formula for cos ratio?

Answer 23

leg adjacent/hypotenuse

Question 24

When can you use trig ratios to find missing angles or sides in a right triangle?

Answer 24

if you have measures of 2 sides or if you know the measures of 1 side and an acute angle.

Question 25

what is the law of sines?

Answer 25

sin A/a = sin B/b = sin C/c

Question 26

formula for tan ratio?

Answer 26

leg opposite/leg adjacent

Question 27

What is congruent in a rectangle?

Answer 27

the angles, the opposite sides, the diagonals

Question 28

A parallelogram has one 90 degree angle. What can you expect of other angles?

Answer 28

the other three are 90

Question 29

What are the properties of a rhombus?

Answer 29

properties of rectangle and parallelogram

Question 31

What is special about the diagonals of a rhombus?

Answer 31

perpendicular

Question 32

what is a trapezoid?

Answer 32

is a quadrilateral with exactly one pair of parallel sides

Question 33

what are the bases in a trapezoid? The legs?

Answer 33

bases= parallel 
legs= nonparallel

Question 34

what does a median separate the trapezoid into?

Answer 34

2 bases that are congruent

Question 35

what makes an isosceles trapezoid?

Answer 35

if the legs are congruent