gr 8 | guided notes: creating and interpreting transformati...

a ____ involves turning a shape around a fixed point.

a ____ flips a shape over a line, creating a mirror image.

a ____ changes the size of a shape by a specific scale factor while maintaining its proportions.

translating a point (x, y) to the right by 4 units and up by 3 units will move it to

Question

gr 8 | guided notes: creating and interpreting transformati...

a ____ involves turning a shape around a fixed point.

a ____ flips a shape over a line, creating a mirror image.

a ____ changes the size of a shape by a specific scale factor while maintaining its proportions.

translating a point (x, y) to the right by 4 units and up by 3 units will move it to

Accepted Answer

### First Blank (involves turning a shape around a fixed point)
# Brief Explanations:
In geometry, a rotation is a transformation that turns a figure around a fixed point called the center of rotation. So the term for turning a shape around a fixed point is "rotation".
# Answer:
A. rotation involves turning a shape around a fixed point.

### Second Blank (flips a shape over a line, creating a mirror image)
# Brief Explanations:
A reflection is a transformation that flips a figure over a line (the line of reflection), resulting in a mirror - image of the original figure. So the term for flipping a shape over a line to create a mirror image is "reflection".
# Answer:
A. reflection flips a shape over a line, creating a mirror image.

### Third Blank (changes the size of a shape by a specific scale factor while maintaining its proportions)
# Brief Explanations:
A dilation is a transformation that changes the size of a figure. It enlarges or reduces the figure by a scale factor relative to a center point, and the proportions of the figure are maintained. So the term for changing the size of a shape by a specific scale factor while maintaining its proportions is "dilation".
# Answer:
A. dilation changes the size of a shape by a specific scale factor while maintaining its proportions.

### Translating a point $(x,y)$ to the right by 4 units and up by 3 units
# Explanation:
## Step 1: Recall the translation rules
When translating a point $(x,y)$ horizontally (left or right), we change the $x$ - coordinate. Moving to the right by $a$ units means we add $a$ to the $x$ - coordinate. When translating vertically (up or down), we change the $y$ - coordinate. Moving up by $b$ units means we add $b$ to the $y$ - coordinate.
## Step 2: Apply the translation rules
For a point $(x,y)$, moving right by 4 units changes the $x$ - coordinate to $x + 4$, and moving up by 3 units changes the $y$ - coordinate to $y+3$. So the new coordinates of the point are $(x + 4,y + 3)$.
# Answer:
Translating a point $(x,y)$ to the right by 4 units and up by 3 units will move it to $(x + 4,y + 3)$

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QUESTION IMAGE

Question

Explanation:

First Blank (involves turning a shape around a fixed point)

Answer:

Second Blank (flips a shape over a line, creating a mirror image)