Transformations (Translations & Rotations)
What is the rule for 180 degrees CCW?
(x,y) -> (-x,-y)
What is the definition of the image?
The shape or point after it's been transformed, denoted by the prime mark, ' .
What is the name of the triangle congruence theorem that we can only use for right triangles?
HL (Hypotenuse-Leg)
What does this symbol mean? ∠
Angle symbol
What is the most common number used in mathematics (everyday mathematics)?
3
What is the rule (x,y) -> (-y,x) for?
Rotation 90 degrees CCW
Which one of these is NOT a rigid motion?
a) Translation
b) Reflection
c) Dilation
d) Rotation
c) Dilation
What is the included angle?
An angle that is between/made by 2 sides that are congruent
What does this symbol mean? ∥
Parallel Symbol
How many people would it take in a room to have a 50% chance of 2 people sharing a birthday?
If a shape is translated by the rule (x,y) -> (x-4,y+3), and the preimage of point A is (5,4), where is the point A'?
A'=(1,7)
What is the definition of the word preimage?
The shape or point before the transformation.
What does the definition of midpoint tell us for triangle congruence proofs?
Midpoint is right in the middle, creating 2 equal (congruent) sides
What does this symbol mean? ⊥
Perpendicular Symbol
What is the largest number that can be written out in words between 1 & 1,000,000 without containing the letter n?
Eighty-eight
What is the rule for a shape that is translated 5 unit to the left and 4 units up?
(x,y) -> (x-5, y+4)
What is the image of the point A (3,5) after being reflected over the y-axis?
A'=(-3,5)
If there are 2 sets of congruent angles and 1 set of included congruent sides, are the triangles congruent and if so, by what?
yes, by ASA
What are the 5 ways to prove triangles are congruent?
SSS, SAS, ASA, AAS, HL
What was the first group of people to use multiplication tables?
Egyptians
What is the point C(4,7) after being rotated 270 degrees CCW
C'(7,-4)
What is point E(4,5) at after being reflected over the line y=x?
E'(5,4)
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
What is the name (or abbreviation) used to show when corresponding parts are the same size and shape?
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
Did Pythagoras discover the Pythagorean theorem first?
Nope! Many ancient cultures used the ideas of the Pythagorean theorem way before Pythagoras was born.