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Exterior Angle of a Polygon

an angle that forms a linear pair with one of the angles of the polygon.

Remote Interior Angles of a Triangle

the two angles non-adjacent to the exterior angle.

Linear Pair Postulate

If two angles form a linear pair, then they are supplementary.

Vertical Angle Theorem

If two angles are vertical angles, then they are congruent. (p. 127)

Triangle Angle-Sum Theorem

The sum of the measures of the angles of a triangle is 180°.

Isosceles Triangle Theorem

If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent

Converse of the Isosceles Triangle Theorem

If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent.

Exterior angle theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Adjacent Angles

Angles that are next to each other. They share a vertex and a common side.

Midpoint

if a line segment has a midpoint, then the 2 segments formed are congruent

right angle

An angle that is 90 degrees (It makes a square in the corner).

straight angle

An angle that measures 180 degrees

Acute Angle

An angle that measures LESS than 90 degrees.

Angle

Two rays with the same end point.

Bisector

if a line bisects a line segment, then it intersects it at its midpoint

Complementary Angles

The sum of the measure of two angles is 90 degrees.

Congruent

A plane figure with the same size and shape.

equiangular

3 equal angles

equilateral

all sides have the same length

Linear pair

A pair of adjacent angles whose non-common sides are opposite rays.

Obtuse Angle

An angle that measures MORE than 90 degrees

Supplementary Angles

The sum of the measure of two angles is 180 degrees.

Vertical Angles

Angles opposite one another when two lines intersect.

Segment Addition Postulate

If A, B, and C are collinear, then point B is between A and C if and only if AB + BC = AC.

Angle Addition Postulate

D is in the interior of angle ABC and only if m<ABD + m<DBC = m<ABC.

Complimentary Angles

Angles whose measure adds up to 90 degrees.

vertex

The point where two sides meet. (Shared end points of the line segments of a polygon.)

Congruent Angles

Angles with equal measures are..

Scalene Triangle

A triangle with no congruent sides

equilateral triangle

Triangle with a 90° angle

isosceles triangle

Triangle with 2 equal sides and 2 equal angles.

degrees

a unit for measuring angles

Protractor

A tool used to measure angles

degree

the highest power of a polynomial

Sides

The angle bisectors of a triangle intersect at a point that is equidistant from all of "these" of the triangle

triangle

P=a+b+c

Quadrilateral

A polygon with 4 sides and 4 angles.

pentagon

a 5 sided polygon

octagon

an 8-sided polygon

decagon

a 10-sided polygon

Right Triangle

A triangle with one right angle.

alternate interior angles

Angles that lie within a pair of parallel lines and on opposite sides of a transversal; congruent

Angle Bisector

A segment or Ray that cuts an < into two ️congruent <'s

angle of rotation

formed by rays drawn from the center of rotation to a point and its image

arc

part of a circle

Center of Rotation

point around which a figure rotates

Central Angle

an angle whose vertex is the center of the circle

Circle

r= asin(theta)

Complementary

Two angles whose sum is 90 degrees.

congruent figures

The SAME SIZE and SAME SHAPE

corresponding angles

Angles that have the same relative positions in geometric figures.

image

the resulting figure AFTER a transformation is performed on it

Line

A straight path that goes without end in two directions.

line of reflection

The line over which a figure is reflected. The vertices of the original and new figure are the same distance from this. The line of reflection can be the x-axis, the y-axis, or any line on the coordinate plane.

line of symmetry

The line that divides two matching parts. It can be vertical, horizontal, or diagonal.

major arc

larger than a semicircle; named by its endpoints and another point between the endpoints on the arc with an arc symbol over the letters - ⌒

parallel lines

2 lines that never cross/intersect and stay the same distance apart

Perpendicular Bisector

A segment or Ray the perpendicularly bisects a side of a 🔺

Perpendicular lines

lines in a plane that intersect to form 4 right angles

plane

A flat surface.

point

an exact location in space

polygon

a closed figure made by joining line segments where each line segment intersects exactly 2 others

ray

Part of a line that has one end point and goes in one direction without end.

reflection

It is a transformation that flips a figure over a line of reflection.

Reflectional Symmetry

A figure that can be reflected over a line so its image matches the original figure.

regular polygon

a convex polygon in which all sides and angles are congruent

rotation

It is a transformation that turns a figure about a fixed point.

Rotational Symmetry

If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotation symmetry.

segment

A part of a line between two endpoints.

Segment Bisector

A segment that divides another segment into two congruent pieces.

semicircle

half of a circle

skew

they have no relationship

Supplementary

Angles that add to 180 degrees.

Transformation

a movement on the cartesian plane

translation

It is a transformation that moves points the distance and in the same direction.

transversal

A line that intersects two or more lines.

Alternative Angles

Interior angles on the alternate sides of the transversal they are both equal in size.

Co-interior angles

Angles that are both inside the parallel lines and on the same side of the transversal are supplementary.