Identify: All Pairs of Vertical Angles
<1 = <3 & <2 = <4
Define: Perpendicular Lines
Perpendicular lines are two distinct lines that intersect at each other at 90°.
What is the sum of all the angles in a triangle?
180
Explain: Complementary Angles vs. Supplementary Angles
Sum of Complementary Angles = 90 degrees vs Sum of Supplementary Angles = 180 degrees
What is the Triangle Inequality Theorem?
"The sum of any two sides of a triangle is greater than its third side."
Define: Parallel Lines
Parallel lines are straight lines that never meet each other no matter how long we extend them.
How do you find the midpoint between two points?
Midpoint can be found using midpoint formula:
Identify: Pairs of Alternate Exterior Angles
<1 = <8 & <2 = <7
Equilateral vs. Isosceles vs. Scalene Triangles
3 equal sides vs. 2 equal sides vs. 0 equal sides
Define: Vertical Angles
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines that are equal.
Identify: Interior Angles vs. Exterior Angles
Interior: <a <b <c Exterior: <d <e <f
Two different triangles are congruent if their corresponding ________ and ___________ are equal.
Angles & Sides
Define: Transversal Lines
A transversal line passes through two lines in the same plane at two distinct points.
Describe: Translation
Slides or moves the pre-image
Right vs. Acute vs. Obtuse Triangles
Right = 90 degrees (1 angle) Acute= <90 degrees (3 angles) Obtuse = > 90 degrees (1 angle)
What is the Pythagorean Theorem?
a^2 + b^2 = c^2
Describe: Dilation
Stretches or shrinks the pre-image
Define: Median of a Triangle
The median of a triangle is the line segment drawn from the vertex to the midpoint of the opposite side (dividing into two equal parts).
Identify: Pairs of Alternate Interior Angles
<3 = <5 & <4 = <6
Describe: Rotation
Rotates or turns the pre-image around an axis
Define: Altitude of a Triangle
The altitude of a triangle is the perpendicular distance from the base to the opposite vertex.
How do you find the distance between two points?
Distance can be found using the distance formula:
Describe: Reflection
Flips the pre-image and produces the mirror-image
Define: Exterior Angle Theorem
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles.