What is the rule for a 180 degree rotation?
(-x,-y)
How many degrees are in every triangle?
180 degrees
How are dilations different from translations, rotations, and reflections?
Dilations change the size of the figure
slide and flip
x + 2 = -10
x = -12
Point A is in Quadrant 1, and then it is rotated 90 degrees CW. Which Quadrant is A' located?
Quadrant 4
One angle in a triangle is 105 degrees and the second angle is 50 degrees. What is the measure of the third angle?
25 degrees
k
Point T is located at (10,8) and it is translated up 4 units. Where is T' located?
T'(10,12)
-2y > 30
y < -15
Point C is located at (6,7), and then it is rotated 180 degrees. Where is C' located?
(-6, -7)
How many degrees is each angle in an equilateral triangle?
60 degrees
What must be true about the scale factor (k) in order to produce a reduction?
k must be more than 0 but less than 1 (0<k<1)
Point R is located at (8,1) and it is reflected over the x-axis. Where is R' located?
R'(8,-1)
When are you supposed to flip the inequality sign when solving inequalities?
If you have to multiply or divide by a negative number
Point J is located at (1,2). It is then rotated 180 degrees. After, it is translated using the rule (x-1,y+3). Where is J' located?
(-2,1)
In a triangle, angle A is 6x, angle B is 8x, and angle c is 4x.
What is the value of x in this triangle?
x=10
8mm, 10mm, and 12mm
Translate point F(3,4) using the translation rule (x-5,y+8). Where is F' located?
F'(-2,12)
9 > -2m + 2 - 3
m>-5 OR -5<m
Triangle ABC is located in Quadrant 2.
A(-6,7) B(-10,2) C(-2,2)
Rotate this triangle 90 degrees CCW.
What are the coordinates of A'B'C'?
A'(-7,-6)
B'(-2,-10)
C'(-2,-2)
CHALLENGE!!!!
Angle 1 in a triangle is 5x-4, angle 2 is 3x+5, and angle 3 is x+8.
What is the value of x is this triangle?
x=19
Triangle ABC is located at A(1,-1) B(7,-1) C(1,-5). If you dilate this triangle, using point A as the center of dilation with a scale factor of 1/2, what are the coordinates of A'B'C'?
A'(1,-1) B'(4,-1) C'(1,-3)
Triangle DEF is located at D(0,7) E(3,3) F(2,1). Use the sequence of transformations to find the coordinates of D'E'F'.
(x-5,y) and then a reflection over the x-axis
D'(-5,-7) E'(-2,-3) F'(-3,-1)
13 + 2x - 8 + 6 = -7 - x
x = -6