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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.
Angles that are next to each other. They share a vertex and a common side.
if a line segment has a midpoint, then the 2 segments formed are congruent
An angle that is 90 degrees (It makes a square in the corner).
An angle that measures 180 degrees
An angle that measures LESS than 90 degrees.
Two rays with the same end point.
if a line bisects a line segment, then it intersects it at its midpoint
The sum of the measure of two angles is 90 degrees.
A plane figure with the same size and shape.
3 equal angles
all sides have the same length
A pair of adjacent angles whose non-common sides are opposite rays.
An angle that measures MORE than 90 degrees
The sum of the measure of two angles is 180 degrees.
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.
Angles whose measure adds up to 90 degrees.
The point where two sides meet. (Shared end points of the line segments of a polygon.)
Angles with equal measures are..
A triangle with no congruent sides
Triangle with a 90° angle
Triangle with 2 equal sides and 2 equal angles.
a unit for measuring angles
A tool used to measure angles
the highest power of a polynomial
The angle bisectors of a triangle intersect at a point that is equidistant from all of "these" of the triangle
A polygon with 4 sides and 4 angles.
a 5 sided polygon
an 8-sided polygon
a 10-sided polygon
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
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
part of a circle
Center of Rotation
point around which a figure rotates
an angle whose vertex is the center of the circle
Two angles whose sum is 90 degrees.
The SAME SIZE and SAME SHAPE
Angles that have the same relative positions in geometric figures.
the resulting figure AFTER a transformation is performed on it
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.
larger than a semicircle; named by its endpoints and another point between the endpoints on the arc with an arc symbol over the letters - ⌒
2 lines that never cross/intersect and stay the same distance apart
A segment or Ray the perpendicularly bisects a side of a 🔺
lines in a plane that intersect to form 4 right angles
A flat surface.
an exact location in space
a closed figure made by joining line segments where each line segment intersects exactly 2 others
Part of a line that has one end point and goes in one direction without end.
It is a transformation that flips a figure over a line of reflection.
A figure that can be reflected over a line so its image matches the original figure.
a convex polygon in which all sides and angles are congruent
It is a transformation that turns a figure about a fixed point.
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.
A part of a line between two endpoints.
A segment that divides another segment into two congruent pieces.
half of a circle
they have no relationship
Angles that add to 180 degrees.
a movement on the cartesian plane
It is a transformation that moves points the distance and in the same direction.
A line that intersects two or more lines.
Interior angles on the alternate sides of the transversal they are both equal in size.
Angles that are both inside the parallel lines and on the same side of the transversal are supplementary.