What type of transformation is this? (if translation mention what direction, if reflection mention over what axis, and if rotation mention the degrees).
Rotation of 180 degrees.
What is a sequence of transformations?
Two or more transformations being used on a single preimage.
Name the angle relationship between angle 1 and 4
Consecutive (same side) exterior.
What are the interior and exterior angle rules? Use the diagram below to write the rules.
m<1+m<2+m<3=180 degrees
m<1+m<2=m<4
What is the scale factor?
k=3
Describe (in words) the translation that maps triangle ABC to A'B'C'. Then give the symbolic rule (x,y) --> (x + __, y+ __)
Left 8, down 3
(x,y) --> (x + -8, y+ -3)
Draw two CONGRUENT figures. Make sure to indicate the angles and side lengths of each.
Any two shapes that have All the SAME side lengths AND angles.
List ALL the angles that are CONGRUENT to angle 1.
7, 3 and 5
Find the missing interior angle (pretend its labeled as "y") AND exterior angle labeled as "x".
x=109
y=71
B
Find the coordinate of vertex C' if the given preimage was reflected over the line y=1 (shown in red).
C'(-3,3)
Describe the sequence of transformations that maps triangle ABC to triangle A''B''C''.
Translation left 1 and down 5, then a reflection over the y-axis.
If the m<1=120 degrees, what is the m<8 and m<7, explain how you know.
m<8=60 degrees because its supplementary to <1.
m<7=120 degrees because its vertical to <1 therefore congruent.
What is the m<P?
m<P=60 degrees
What is the resulting coordinate of N' after a...
N(-1,-4) --> N'(-4,1)
Find the image coordinates after the preimage coordinates: A(1,2), B(-2,3), and C(-9,-1) are reflected over the x-axis.
A'(1,-2), B'(-2,-3), C'(-9,1)
If the given square was rotated by 270 degrees counterclockwise and then reflected over the y-axis what quadrant would it end up in?
Quadrant 3.
5x+86=10x+46
5x+40=10x
40=5x
8=x
10(8)+46=80+46=126 degrees
Solve for x.
3x-10=25+x+15
3x-10=40+x
-x -x
2x-10=40
+10 +10
2x=50
x=25
Find the measure of the angle labeled 3x
3x+9x+12=180
12x+12=180
12x=168
x=14
3(14)=42 degrees
What would the image coordinates of the triangle below be if the preimage was rotated 90 degrees counterclockwise about the origin? hint: first copy down the given pre-image coordinates then use the rule.
A'(-5,-2), B'(3,3), C'(1,-4)
If the sequence of transformations that maps figure RSTU onto figure R’S’T’U’ is first a translation THEN a reflection, describe what translation and reflection those would be.
Translation of 2 units left and 2 units down then a reflection over the y-axis.
Solve for x then find the degree measures of the indicated angles.
2x+3x+20=180
5x+20=180
-20 -20
5x=160
x=32
<A=116
<B=64
Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.
Solve for x.
14x+12=180
14x=168
x=12