L5 Practice Part 3
Completion requirements
Unit A: Geometry
Chapter 2: Transformations
Practice
Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You
will learn the material more thoroughly if you complete the questions before checking the answers.
1.
Stella has a huge basement and would like to rearrange the furniture by moving it to the other side of the room. She has created a map to plan the move of the furniture to the other side of the room.
What transformation(s) must be applied to the pieces of furniture to move them to the correct location?
What transformation(s) must be applied to the pieces of furniture to move them to the correct location?
a.
sofa
b.
two chairs
c.
table and chairs
2.
A graphic designer produced a logo for a local company. The CEO did not like the design since she viewed the logo as a duck head on a stick. The designer rotated the image 270° counterclockwise and then translated the image horizontally 2 units to the right and vertically up 3 units. Draw the final image of the logo.
1.
Stella has a huge basement and would like to rearrange the furniture by moving it to the other side of the room. She has created a map to plan the move of the furniture to the other side of the room.
What transformation(s) must be applied to the pieces of furniture to move them to the correct location?
What transformation(s) must be applied to the pieces of furniture to move them to the correct location?
a.
sofa
b.
two chairs
c.
table and chairs
a.
A rotation of 90° clockwise or 270° counterclockwise must be applied to the original location of the sofa to move it to the new location.
b.
Two transformations must be applied. A reflection in the y-axis and then a vertical translation of 4 units down must be applied to move the two chairs to their new location.
c.
A reflection in the y-axis must be applied to the original location of the table and chairs to move it to the new location. The image could also be produced by a horizontal translation 17 units to the right.
2.
A graphic designer produced a logo for a local company. The CEO did not like the design since she viewed the logo as a duck head on a stick. The designer rotated the image 270° counterclockwise and then translated the image horizontally 2 units to the right and vertically up 3 units. Draw the final image of the logo.
Step 1: After the 270° counterclockwise rotation, the image appears in quadrant 1. To find the coordinates of the image, first switch the x and y values. The image is in quadrant 1 (top right), so the x values are positive and the y values are positive.
Step 2: The image is then translated horizontally 2 units to the right and vertically 3 units up to produce the final image.
Step 2: The image is then translated horizontally 2 units to the right and vertically 3 units up to produce the final image.