Rigid Transformations
Sequence of transformations
Transversals
Interior & Exterior Angles
Random
100
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.
100
What is a sequence of transformations?
Two or more transformations being used on a single preimage.
100
Name the angle relationship between angle 1 and 4
Consecutive (same side) exterior.
100
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
100
What is the scale factor?
k=3
200
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)
200
Which two figures are CONGRUENT?
Figure A and Figure C.
200
List ALL the angles that are CONGRUENT to angle 1.
7, 3 and 5
200
Find the missing interior angle (pretend its labeled as "y") AND exterior angle labeled as "x".
x=109
y=71
200
Describe the translation that maps ABCD onto A’B’C’D’?
6 left, and 5 down.
300
Find the coordinate of vertex C' if the given preimage was reflected over the line y=1 (shown in red).
C'(-3,3)
300
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.
300
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.
300
What is the m<1 and m<2?
m<1 = 35 degrees
m<2 = 30 degrees
300
What is the resulting coordinate of C' after the given preimage is rotated 270 degrees counterclockwise about the origin?
C'(6,-4)
400
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)
400
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.
400
Solve for x, using the given angles.
75+x-15=180
60+x=180
x=120
400
Solve for x.
3x-10=25+x+15
3x-10=40+x
-x -x
2x-10=40
+10 +10
2x=50
x=25
400
Find the measure of the angle labeled 3x
3x+9x+12=180
12x+12=180
12x=168
x=14
3(14)=42 degrees
500
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)
500
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.
500
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
500
Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.
- 24°
- 51°
- 54°
- 75°
- 81°
- 51°
- 54°
- 75°
500
Solve for x.
14x+12=180
14x=168
x=12