8th Grade Geometry Topic 6 Review

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.