Math Review

Two intersecting lines are coplanar

True

three noncolinear points are always coplanar

True

Two planes can intersect in exactly one point

False

A line segment contains an infinite number of points

True

The union of two rays is always a line

False

It is possible to draw an obtuse scalene triangle

True

All equilateral triangles isosceles

True

Points that lie on the same line

Collinear points

A subset of a line that contains two points of the line and all points between those two points

Line segment

A subset of the line AB that contains the endpoint A, the point B, all points between A and B, and all points C on the line that such B is between A and C. 

Ray

Any line or point that lie in the same plane

Coplanar

Do not intersect, and there is no plane that contains them

Skew lines

Lines that have no points in common, when extended in both directions

Parallel

Lines that have one point in common

Intersecting lines

Two angles with a common vertex and a common side, but without overlapping interior angles

Adjacent angles

Any part of a circle that can be drawn without lifting a pencil

Arc

Any segment with endpoints on the circle

Chord

If a chord contains the center of the circle

Diameter

a simple, closed curve with no indentations; the segment connecting and two points in the interior of the curve is wholly contained in the interior of the curve

Convex curve

A simple, closed curve that is not convex; it has an indentation

Concave curve

An angle formed by two sides of a polygon with a common vertex

Interior angle

An angle formed by a side of a polygon and the extension of a contiguous side of the polygon

Exterior angle of a convex polygon

a line segment connecting nonconsecutive vertices of a polygon.

Diagonals

Any parts with the same size and shape

Congruent part

A polygon in which all sides are congruent and all angles are congruent

Regular polygon

A regular polygon is 

equilateral and equiangular

A triangle containing one right angle

right triangle

a triangle in which all the angles are acute

acute triangle

a triangle containing one obtuse angle

obtuse triangle

a triangle with no congruent sides

scalene triangle

a triangle with three congruent sides

equilateral triangle

a triangle with two congruent sides

isosceles triangle

an equilateral with at least one pair of parallel sides

Trapezoid

Trapezoid

Quadrilateral

A quadrilateral with two adjacent sides congruent and the other two sides congruent

Kite

Kite

Quadrilateral

a trapezoid with congruent base angles

isosceles trapezoid

Isosceles trapezoid

Trapezoid 

Quadrilateral

A quadrilateral in which each pair of opposite sides is parallel

Parallelogram

Parallelogram

Quadrilateral 

Trapezoid

A parallelogram with a right angle

Rectangle

Rectangle

Quadrilateral

Trapezoid

Isosceles trapezoid 

Parallelogram

a parallelogram with two adjacent sides congruent

Rhombus

Rhombus

Quadrilateral 

Trapezoid 

Isosceles trapezoid 

Parallelogram 

Kite 

a rectangle with two adjacent sides congruent

square

Square 

Quadrilateral 

Trapezoid 

Isosceles trapezoid 

Kite 

Parallelogram 

Rectangle 

Rhombus  

created by intersecting lines, are a pair of angles whose side arc to pairs of opposite rays. Always congruent

Vertical angles

are two angles such that the sum of their measurements is 180

supplementary

are two angles such that the sum of their measurements is 90

complementary

are between two lines cut by a transversal

interior angles

3, 4, 5, 6

are not between two lines cut by a transversal

exterior angles

1,2,7,8

are between two lines cut by a transversal and are on opposite sides of the transversal

alternate interior angles

3 and 6, 4 and 5

are not between two lines cut by a transversal and are on opposite sides of the transversal

alternate exterior angles

1 and 8, 2 and 7

are in the same relative position when two lines are cut by a transversal

corresponding angles

1 and 5, 2 and 6, 3 and 7, 4 and 8