final

Question 1

what is a triangle?

Answer 1

a closed figure in a plane consisting of 3 segments called sides

Question 2

how are triangles named?

Answer 2

using the capital letters assigned to its vertices in a clockwise or counterclockwise direction

Question 3

what are the properties of a scalene triangle?

Answer 3

no sides are congruent and no angles are congruent

Question 4

what are the properties of a isosceles triangle?

Answer 4

at least two sides are congruent and two angles called the base angles are congruent

Question 5

what are the properties of an equilateral triangle?

Answer 5

all three sides are congruent and all three angles are congruent

Question 5

what are the properties of a right triangle?(op)

Answer 5

-exactly one angle is a right angle
-the acute angles are complementary
-the side opposite the right angle called the hypotenuse is the longest side

Question 6

what are the properties of an acute triangle?(op)

Answer 6

• all three angles are acute

Question 7

what are the properties of an obtuse triangle?(op)

Answer 7

exactly one angle is an obtuse angle

Question 8

what is the triangle-angle sum theorem

Answer 8

m<A+m<B+m<C=180°

Question 9

what is the exterior angle theorem?

Answer 9

m<1=m<A+m<B

Question 10

what is the pythagorean theorem?

Answer 10

c^2=a^2+b^2

Question 11

what is the hypotenuse and what is its notation

Answer 11

the side opposite the right angle in a right angled triangle
often denoted as ‘c’

Question 12

what are the legs and what are their notation

Answer 12

the two shorter sides that form the right angle
often denoted as ‘a’ an ‘b’

Question 13

what is the converse of the pythagorean theorem?

Answer 13

if the sum of the measure of the two legs of a triangle equals the square of the measure of the longest side then the triangle is a right triangle

Question 14

if c^2<a^2+b^2 then the triangle is

Answer 14

an acute triangle

Question 14

what is a radius

Answer 14

a line segment from the center to a point on the circle

Question 15

if c^2=a^2+b^2 then the triangle is

Answer 15

a right triangle

Question 15

if c^2>a^2+b^2 the the triangle is

Answer 15

an obtuse triangle

Question 15

what is a circle

Answer 15

a set of all point in a plane that are the same distance from a given point called the center of the circle

Question 16

what is a chord

Answer 16

a segment with endpoints on the circle

Question 17

what is a diameter

Answer 17

a chord that passes through the center of the circle

Question 18

what is the circumference

Answer 18

the distance around the circle

Question 19

what is the formula for diameter

Answer 19

d=2xr

Question 19

what is the formula for the radius

Answer 19

r=d/2

Question 19

what is the formula for circumference

Answer 19

c=2πr

Question 20

what is a central angle of a circle

Answer 20

an angle with a vertex at the center of the circle and sides that are radii

Question 21

what is the formula to get the sum of the central angles

Answer 21

m<1+m<2+m<3=360°

Question 22

a minor arc has a measure of

Answer 22

less than 180°

Question 23

what is an arc

Answer 23

part of a circle that is defined by two endpoints

Question 23

a major arc has a measure of

Answer 23

more than 180°

Question 24

a semicircle has a measure of

Answer 24

exactly 180°

Question 25

what is the arc length

Answer 25

the distance between the endpoints of an arc measured along the arc in linear units.

Question 25

what are congruent arcs

Answer 25

arcs that have the same measure

Question 26

what are adjacent arcs

Answer 26

arcs that have exactly one point in common

Question 27

what is the formula to find the length

Answer 27

l= x/360 x 2πr

Question 28

what is a radian

Answer 28

a unit of angular measurement equal to 180°/π

Question 29

degree --> radians

Answer 29

π radians/ 180°

Question 30

radians --> degree

Answer 30

180°/ π radians

Question 31

what is a quadrilateral

Answer 31

four sided figure

Question 32

what is the area

Answer 32

the space inside the shape

Question 32

what is a rectangle

Answer 32

a quadrilateral with both pairs of opposite sides parallel and equal and four right angles

Question 32

what is a square

Answer 32

a quadrilateral with 4 equal sides and 4 right angles the opposite sides in a square are both parallel and equal in length

Question 33

how to find the area of a square

Answer 33

A= a^2

Question 34

how to find the area of a rectangle

Answer 34

a=lxw

Question 35

how to find the area of a parallelogram

Answer 35

a=bxh

Question 35

what is the base of a parallelogram

Answer 35

any side of the parallelogram

Question 36

what is a parallelogram

Answer 36

quadrilateral with both pairs of opposite sides parallel and equal(2 pairs of parallel sides)

Question 37

what is the height of a parallelogram

Answer 37

the length of the altitude(perpendicular) of the parallelogram

Question 38

what is a trapezoid

Answer 38

a quadrilateral with exactly one pair of parallel sides(1 pair of parallel sides)

Question 38

how to find the area of a trapezoid

Answer 38

A= 1/2 h (b1+b2)

Question 38

what is a kite

Answer 38

a quadrilateral with exactly 2 pairs of consecutive congruent sides(2 consecutive equal sides)

Question 39

what is a rhombus

Answer 39

a parallelogram with all four sides congruent(2 pairs of parallel sides, all sides are congruent)

Question 40

what is the area of a kite/rhombus

Answer 40

a=1/2(d1d2)