Section 1

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semicircle

Front

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Last updated

6 years ago

Date created

Mar 1, 2020

Cards (69)

Section 1

(50 cards)

semicircle

Front

an arc whose measure is 180 degrees

Back

perpendicular

Front

Two lines that intersect to form right angles

Back

Alternate interior angles

Front

angles between 2 lines and on opposite sides of a transversal

Back

linear pair

Front

A pair of adjacent angles whose noncommon sides are opposite rays.

Back

Point

Front

an exact location in space

Back

complimentary angle

Front

Angles that add up to 90 degrees

Back

Medians

Front

a segment whose endpoints are a vertex and the midpoint of the opposite side

Back

orthocenter

Front

The point of concurrency of the altitudes of a triangle

Back

radius

Front

The distance from the center of a circle to any point on the circle

Back

supplementary angle

Front

Two angles whose sum is 180 degrees

Back

angle bisector

Front

a ray that divides an angle into two congruent angles

Back

secant

Front

A line that intersects a circle in two points

Back

diameter

Front

a chord that passes through the center of the circle

Back

Midpoint

Front

A point that divides a segment into two congruent segments

Back

minor arc

Front

An arc of a circle whose measure is less than 180 degrees.

Back

straight angle

Front

an angle that measures 180 degrees

Back

reflex angle

Front

Between 180 and 360 degrees

Back

circumcenter

Front

the point of concurrency of the perpendicular bisectors of a triangle

Back

collinear

Front

points that lie on the same line

Back

altitude of a triangle

Front

the perpendicular segment from a vertex to the opposite side

Back

incenter

Front

the point of concurrency of the angle bisectors of a triangle

Back

line

Front

an infinite collection of points that extends forever in 2 directions

Back

circumscribed circle

Front

a circle with an inscribed polygon

Back

centroid

Front

The point of concurrency of the medians of a triangle

Back

circle

Front

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

Back

central angle

Front

an angle whose vertex is the center of the circle

Back

ray

Front

a part of a line that starts at an endpoint and extends forever in one direction

Back

acute triangle

Front

A triangle with 3 acute angles

Back

Polygon

Front

A closed plane figure made up of line segments

Back

major arc

Front

An arc of a circle whose measure is greater than 180 degrees but less than 360 degrees

Back

segment bisector

Front

a line, ray, or segment that divides a segment into two congruent segments

Back

inscribed circle

Front

a circle in which each side of the polygon is tangent to the circle

Back

obtuse angle

Front

An angle that measures more than 90 degrees but less than 180 degrees

Back

Postulate

Front

a statement that is accepted as true without proof

Back

obtuse triangle

Front

a triangle with one obtuse angle

Back

equilateral triangle

Front

a triangle where all sides are of equal length and all angles are congruent

Back

the measure of an angle

Front

The amount of rotation needed to rotate one of the rays about their shared point so that it lies on top of the other ray.

Back

Corresponding angles

Front

lie on the same side of the transversal and in corresponding positions

Back

arc

Front

part of a circle

Back

trigonometric ratios

Front

SOHCAHTOA

Back

angle

Front

formed by two rays with the same endpoint

Back

tangent

Front

A line in the plane of a circle that intersects the circle in exactly one point.

Back

right angle

Front

an angle that measures 90 degrees

Back

Vertical angles

Front

two nonadjacent angles formed by two intersecting lines

Back

Distance

Front

The length of a path between two points

Back

Alternate exterior angles

Front

Angles that lie outside a pair of lines and on opposite sides of a transversal.

Back

chord

Front

A segment whose endpoints lie on a circle

Back

acute angle

Front

an angle that measures between 0-90 degrees

Back

radian

Front

a unit of angle measure based on arc length

Back

isosceles triangle

Front

a triangle with at least two congruent sides

Back

Section 2

(19 cards)

Division Postulate

Front

If equals are divided by equals the quotients are equal

Back

parallel lines

Front

lines in the same plane that never intersect

Back

semiperimeter

Front

half of the perimeter of a polygon

Back

midpoint formula

Front

((x₁+x₂)/2, (y₁+y₂)/2)

Back

triangle congruence

Front

two triangles are congruent if all 3 corresponding angles and all 3 corresponding sides are congruent

Back

distance formula

Front

d = √[( x₂ - x₁)^2 + (y₂ - y₁)^2]

Back

Transitive Property

Front

Quantities equal to the same quantity are equal to each other (if a=b and b=c then a=c)

Back

Perimeter and area of a triangle

Front

P= a+b+c A= 1/2bh

Back

Subtraction Postulate

Front

If equals are subtracted from equals the differences are equal

Back

Reflexive Property

Front

A quantity is congruent to itself (a=a)

Back

Partition Postulate

Front

The whole is equal to the sum of its parts

Back

angle of elevation/depression

Front

the angle formed by a horizontal line and the line of sight to an object above the horizontal line

Back

Substitution Property

Front

A quantity may be substituted for its equal in any expression. (if x=3 then 2x=2(3))

Back

Symmetry Property

Front

An equality may be expressed in either order (if a=b then b=a)

Back

triangle congruence methods

Front

SSS, SAS, ASA, AAS, HL

Back

Multiplication Postulate

Front

If equals are multiplied by equals the products are equal

Back

Addition Postulate

Front

If equals are added to equals the sums are equal

Back

deductive reasoning

Front

the process of showing that certain statements follow logically from agreed upon assumptions

Back

Heron's Formula

Front

square root of s(s-a)(s-b)(s-c)

Back