Name the three types of transformations
REFLECTION
TRANSLATION
ROATATION
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How many degrees does a triangle have?
180 degrees
What is another name for "same", or "equal"
Congruent
What is the rule for a rotation of 90 degrees counterclockwise
(x, y) goes to (-y, x)
What is another name for a transformation
A rigid motion
Alternate Interior Angle Theorem
Name the three types of triangles and their properties
Equilateral- 3 congruent sides and 3 congruent angles
Isosceles- 2 congruent sides and 2 congruent angles
Scalene- No congruent sides or angles
Two lines that have the same slope are
Parallel
A line that has a negated and reciprocated slope of another line is
perpendicular
Triangle ABC is located in Quadrant 1. It is reflected about the y axis and then reflected about the x axis. What is the new location of Triangle ABC?
Quadrant 3
Create and label a triangle that models Angle-Side-Angle
The measures of each of the base angles of an isosceles triangle is 47 degrees. What is the measure of the third angle?
86 degrees
A rigid motion in which every point is moved the same distance in the same direction
Translation
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What 4 Triangle Congruence Criterion Work?
SSS, SAS, ASA, AAS
The measure of the vertex angle of an isosceles triangle is 98 degrees. What is the measure of a base angle?
41 degrees
Two figures are congruent if and only if a composition of rigid motions _____ one to the other.
maps
Write a two column proof for the equation 3(x+4) = 6x
1. Given Statement 3(x+4)=6x
2. Distributive Property of Equality 3x+12=6x
3. Subtraction Property of Equality 12=3x
4. Division Property of equality 4=x
5. Symmetric Property of Equality x=4
A reflection about the origin
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x = 58
measure of angle P = 58 degrees
measure of angle PQR = 64 degrees
A non rigid motion that often involves stretching or compressing the figure
Dilation
What is the math Symbol for the word "Because"
. .
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