Lines
What are parallel lines?
Two or more lines that lie in the same plane and never intersect each other
Define congruent
Figures that have the same shape and size.
Corresponding angles
When two lines are crossed by another line (the Transversal), the angles in matching corners are called corresponding angles.
Explain the Alternate Exterior Angles Theorem
when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent
Equilateral Triangle
a triangle in which all three sides have the same length
Define transversal
Negative
a number that is less than zero
What are alternate exterior angles?
a pair of angles that are outside the two parallel lines but on either side of the transversal
Explain the Alternate Interior Angles Theorem
if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
Isosceles Triangle
a triangle having two sides of equal length
Do Perpendicular lines intersect?
yes
Reciprocal
the inverse of a number
Define same side interior angles
two angles that are on the same side of the transversal and on the interior of (between) the two lines
Explain the Corresponding Angles Theorem
If a transversal intersects two parallel lines, the corresponding angles are congruent
Scalene Triangle
a triangle that has three unequal sides
What is a perpendicular bisector?
a line that bisects another line segment at a right angle, through the intersection point.
Same side Interior Angles Postulate
two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal
Exterior angle of a triangle
the angle created between one of the sides of a triangle and its adjacent extended side
Explain the Triangle Sum Theorem
That the sum of the measures of the interior angles of a triangle is 180°
Right Triangle
a triangle with a right angle
Slope of a line
the measure of a lines steepness
Theorem
a statement that has been proved true
Define interior angle of a triangle
angles on the inside of the triangle
Explain the Exterior Angle Theorem
the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle
Obtuse Triangle
A triangle where one angle measures more than 90°