Unit 6

Question 1

Comparison property of inequality

Answer 1

If a =b+c then a>c

In other words the sum is bigger than the parts when they are not equal to less than zero.

Question 2

Triangle exterior angle theorem

Answer 2

If a triangle has an exterior angle, then that angle is equal to the value of the two interior angles on the oposite side of the triangle

Question 3

The larges Angle in a triangle is…

Answer 3

Is oposite the longest side

Question 4

The smallest angle in a triangle is oposite….

Answer 4

The smallest side.

Question 5

Triangle inequality theorem

Answer 5

In order for a triangle to be a triangle, any pair of sides must add up to a number that is larger than the third side. Otherwise it is not a triangle

Question 6

Hinge theorem

Answer 6

Hinge theorem

Question 7

Degrees in a polygon formula

Answer 7

Sum of interior angles= (number of triangles)x(180*)

Question 8

Sum of interior angles theorum

Answer 8

Sum= (n-2)(180*)

N=number of sides

Question 9

Regular

Answer 9

All sides and angles are the same

Question 10

Measure of a single angle in a regular polygon

Answer 10

(N-2)(180*)/2

Question 11

Parelellogram

Answer 11

A four sided figure with 2 pairs of paralell lines

Question 12

Theorem 3.6

Answer 12

If abcd is a parallelogram then the oposite sides are congruent

Question 13

Theorem 6.4 supplamentary consecutive angle theorem

Answer 13

If abcd is a paralellogram then the 2 angles on the same side are supplametary

Question 14

Theorem 6.5 oposite angle theorem

Answer 14

If abcd is a paralellogram, then the oposite angles are congruent

Question 15

Theorem 6.6 Diagonal theorem for paralellograms

Answer 15

IF abcd is a paralellogram then it’s diagonals bisect eachother.

Question 16

Paralell lines and transversals theorem

Answer 16

Question 17

Rhombus

Answer 17

Question 18

Rectangles and squares

Answer 18

Question 19

Theorem 6.13 rhombus diagonals theorem

Answer 19

If I have a rhombus its diagonals are perpendicular

Question 20

Theorem 6.14 rhombus diagonal bisector theorem

Answer 20

If I have a rhombus then it’s diagonals bisect the angles they start on

Question 21

Theorem 6.15 rectangle diagonals theorem

Answer 21

If I have a rectangle, then it’s diagonals are congruent

Question 22

What rules apply to squares and why

Answer 22

The rhombus and rectangle rules apply to squares, because a square is both a rhombus and a rectangle

Question 23

Trapezoid

Answer 23

Question 24

In an iscosceles trapezoid

Answer 24

The legs and base angle pairs are congruent

Question 25

Theorem 6.19 isosceles base angle theorem

Answer 25

If I have an isosceles trapezoid, then the base angles are congruent

Question 26

Theorem 6.20 isosceles trapezoid diagonal theorem

Answer 26

IF I have an isosceles trapezoid, then it’s diagonals are congruent

Question 27

Midsegments of a trapezoid

Answer 27

If I have a trapezoid then it’s midsegment is paralell to the bases, and is half the length of the top and bottom base added together

Question 28

Trapezoid midsegmet formula

Answer 28

Length of the midsegent= 1/2(base 1+base 2)

Question 29

Kite

Answer 29

Question 30

Theorem 6.22 kite diagonals theorem

Answer 30

If I have a kite then the diagonals are perpendicular