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Describe: Translation
Slides or moves the pre-image
Describe: Reflection
Flips the pre-image and produces the mirror-image
Describe: Rotation
Rotates or turns the pre-image around an axis
Describe: Dilation
Stretches or shrinks the pre-image
Identify the transformation that is NOT a rigid motion:
Dilation
Name the four types of transformations:
Rotation, Reflection, Translation, Dilation
Identify: Pairs of Alternate Exterior Angles
<1 = <8 & <2 = <7
Identify: Pairs of Alternate Interior Angles
<3 = <5 & <4 = <6
Identify: All Pairs of Vertical Angles
<1 = <3 & <2 = <4
Define: Vertical Angles
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines that are equal.
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.
Identify: Interior Angles vs. Exterior Angles
Interior: <a <b <c Exterior: <d <e <f
What is the difference between perimeter and area?
Area is the amount of space occupied by a flat shape, whereas perimeter is the measure of the outer boundary of the flat shape.
Define: Transversal Lines
A transversal line passes through two lines in the same plane at two distinct points.
Define: Parallel Lines
Parallel lines are straight lines that never meet each other no matter how long we extend them.
Define: Perpendicular Lines
Perpendicular lines are two distinct lines that intersect at each other at 90°.
Define: Altitude of a Triangle
The altitude of a triangle is the perpendicular distance from the base to the opposite vertex.
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).
Right vs. Acute vs. Obtuse Triangles
Right = 90 degrees (1 angle) Acute= <90 degrees (3 angles) Obtuse = > 90 degrees (1 angle)
Equilateral vs. Isosceles vs. Scalene Triangles
3 equal sides vs. 2 equal sides vs. 0 equal sides
What is the Triangle Inequality Theorem?
"The sum of any two sides of a triangle is greater than its third side."
How do you find the midpoint between two points?
Midpoint can be found using midpoint formula:
How do you find the distance between two points?
Distance can be found using the distance formula:
Name the 5 triangle congruence properties:
SSS, SAS, ASA, AAS, HL
Two different triangles are congruent if their corresponding ________ and ___________ are equal.
Angles & Sides
Explain: Complementary Angles vs. Supplementary Angles
Sum of Complementary Angles = 90 degrees vs Sum of Supplementary Angles = 180 degrees
What is the sum of all the angles in a triangle?
180
What is the Pythagorean Theorem?
a^2 + b^2 = c^2