L2 Practice Part 1
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.
For the hexagon, complete the following.
a.
State the coordinates of each vertex.
b.
Translate the hexagon horizontally 8 units to the right and vertically 9 units up.
c.
State the coordinates of each vertex of the translated image.
2.
For the diagram, complete the following.
a.
State the coordinates of each vertex of the letter L.
b.
Translate the letter L horizontally 7 units to the left and vertically 6 units up.
c.
State the coordinates of each vertex of the translated image.
3.
State the number of units each shape has be translated horizontally and vertically.
a.
A to A'
b.
B to B'
c.
C to C'
d.
D to D'
4.
Describe how shape A has been translated horizontally and vertically to become translated image A'.
5.
Use the diagram below to answer the following questions.
a.
Is it possible to move from Figure A to Figure B by using translations?
b.
Is it possible to move from Figure C to Figure D by using translations?
6.
Several images of a hexagon are shown. Are any of the images a translation of the original hexagon?
1.
For the hexagon, complete the following.
To view the answer, click on the image above.
a.
State the coordinates of each vertex.
b.
Translate the hexagon horizontally 8 units to the right and vertically 9 units up.
c.
State the coordinates of each vertex of the translated image.
a.
A(–6, –3), B(–3, –1), C(0, –3), D(0, –7), E(–3, –9), F(–6, –7)
b.
To view the answer, click on the image above.
c.
A'(2, 6), B'(5, 8), C'(8, 6), D'(8, 2), E'(5, 0), F'(2, 2)
2.
For the diagram, complete the following.
Click on the image above for the solution.
a.
State the coordinates of each vertex of the letter L.
b.
Translate the letter L horizontally 7 units to the left and vertically 6 units up.
c.
State the coordinates of each vertex of the translated image.
a.
A(2, 2), B(3, 2), C(3, –5), D(5, –5), E(5, –6), F(2, –6)
b.
Click on the image above for the solution.
c.
A'(–5, 8), B'(–4, 8), C'(–4, 1), D'(–2, 1), E'(–2, 0), F'(–5, 0)
3.
State the number of units each shape has be translated horizontally and vertically.
a.
A to A'
b.
B to B'
c.
C to C'
d.
D to D'
a.
The image has been translated horizontally 10 units to the right (→) and vertically 6 units down (↓). Since the shapes are identical, you can pick any point on Figure A to count from. Make sure the point you choose on the original figure is the same part of the shape on the translated image.
b.
The image has been translated horizontally 12 units to the left and vertically 4 units up. Since the shapes are identical, you can pick any point of Figure B to count from. Make sure the point you choose on the original figure is the same part of the shape on the translated image.
c.
The image has been translated horizontally 5 units to the left and vertically 9 units down. Since the shapes are identical, you can pick any point on Figure C to count from. Make sure the point you choose on the original figure is the same part of the shape on the translated image.
d.
The image has been translated horizontally 6 units to the left and vertically 12 units up. Since the shapes are identical, you can pick any point on Figure D to count from. Make sure the point you choose on the original figure is the same part of the shape on the translated image.
4.
Describe how shape A has been translated horizontally and vertically to become translated image A'.
The translated image has been translated horizontally 8 units to the right and vertically 4 units down.
Use the diagram below to answer the following questions.
a.
Is it possible to move from Figure A to Figure B by using translations?
b.
Is it possible to move from Figure C to Figure D by using translations?
a.
Yes, the figure can be moved using just translations. The shape changed position, but the size and orientation (direction) did not change.
b.
No, the figure cannot be moved using just translations. The image is the same size; however, it is facing a different direction.
6.
Several images of a hexagon are shown. Are any of the images a translation of the original hexagon?
Hexagon C is the exact size and shape as the original. It has been translated horizontally to the left and vertically down.