Transformations

Question 1

Describe what a translation does.

Answer 1

It slides a shape across and/or up/down.

Question 2

What is a translation vector?

Answer 2

It’s stacked numbers inside huge brackets that tell you how far to move the shape.

Question 3

What is the equation for a vertical line?

Answer 3

It’s always x= a number. For example: x=2 or x=0.

Question 4

What is the equation for a flat horizontal line?

Answer 4

It’s always y= a number. For example: y=3 or y=5.

Question 5

How do you fully describe a translation?

Answer 5

You need to say “This transformation is a translation” and also include:

• the translation vector

OR

• a description (like shift up 2 and left 5)

Question 6

How do you fully describe a reflection?

Answer 6

You say, “This is a reflection through ____” and write down the equation for the line of reflection.

Question 7

How do you fully describe a rotation?

Answer 7

You say, “This is a rotation.” And you have to provide:

• angle
• direction
• center of rotation

Question 8

What are the steps to draw a rotation?

Answer 8

1. Put a dot where the center of rotation is.
2. Connect any corner of the shape to the dot.
3. Make a big angle with that line you just drew (using a protractor).
4. Trace your shape and the connecting line onto tracing paper.
5. Stab the center of rotation and turn the tracing paper.
6. Carefully copy the new shape onto your paper.

Question 9

How do you draw a reflection?

Answer 9

1. Draw the line of reflection.
2. Count how far each corner is straight to the line, and then draw the new corner the same distance from the line on the other side. (This means that if the line is on a diagonal, you also have to count diagonally.)

Question 10

How do you find the line of reflection?

Answer 10

1. Pick two matching corners and make a dot exactly in the middle of them.
2. Pick two other matching points and make a dot exactly in the middle of them.
3. Connect your two new dots to make a big long line.
4. Find the equation of the line using all of your math skills from Unit 4.

Question 11

How to you find the center of rotation for a shape that is rotated 180°?

Answer 11

1. Connect two corresponding corners with a line segment.
2. Connect another two corresponding corners with a line segment.
3. Make a dot at the intersection of your two line segments.
4. Check answer with tracing paper.

Question 12

How do you find the center of rotation for a 90° rotation?

Answer 12

1. Trace the starting shape onto tracing paper.
2. Guess and check different centers of rotation till you find it.

Question 13

What is rotational symmetry?

Answer 13

It’s when a shape looks the same after turning it only part-way.

This picture has three orders of rotation.

Question 14

What is reflection symmetry?

Answer 14

It’s how many ways you can fold a shape so that both sides of the fold line reflect each other.

Question 15

What does enlargement mean?

Answer 15

To make something bigger.

Question 16

What does reduction mean?

Answer 16

To makes something smaller.

Question 17

What is a scale factor ?

Answer 17

We usually assign it the letter k . And it tells us how much to times by to get a new shape (either a reduction or an enlargement).

For example, if k=2, this means the image is twice as big as original shape.

Question 18

What does image​ mean when talking about transformations?

Answer 18

It’s the new shape that comes out after the transformation.

You can think of it like a picture. When you take a picture, you get an image. It looks a lot like the real thing you took a picture of, but it’s not exactly the same.