Show:
Rotations
Triangles
Dilations
Translations and Reflections
Equations & Inequalities
100

What is the rule for a 180 degree rotation?

(-x,-y)

100

How many degrees are in every triangle?

180 degrees

100

How are dilations different from translations, rotations, and reflections?

Dilations change the size of the figure

100
Another word for translation is _____ and another word for reflection is _____.

slide and flip

100

x + 2 = -10

x = -12

200

Point A is in Quadrant 1, and then it is rotated 90 degrees CW.  Which Quadrant is A' located? 

Quadrant 4

200

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

200
What letter do we use to represent scale factor?

k

200

Point T is located at (10,8) and it is translated up 4 units.  Where is T' located?

T'(10,12)

200

-2y > 30

y < -15

300

Point C is located at (6,7), and then it is rotated 180 degrees.  Where is C' located?

(-6, -7)

300

How many degrees is each angle in an equilateral triangle?

60 degrees

300

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)

300

Point R is located at (8,1) and it is reflected over the x-axis.  Where is R' located?

R'(8,-1)

300

When are you supposed to flip the inequality sign when solving inequalities?

If you have to multiply or divide by a negative number

400

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)

400

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

400
The three side lengths of a triangle are 4mm, 5mm, and 6mm.  The triangle is dilated using a scale factor of 2 (k=2).  What are the side lengths of the image?

8mm, 10mm, and 12mm

400

Translate point F(3,4) using the translation rule (x-5,y+8).  Where is F' located?

F'(-2,12)

400

9 > -2m + 2 - 3

m>-5 OR -5<m

500

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)

500

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

500

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)

500

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)

500

13 + 2x - 8 + 6 = -7 - x

x = -6