12/5 Dilations Warm Up

12/5 Dilations Warm Up

Assessment

Flashcard

Mathematics

8th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor and a center of dilation.

2.

FLASHCARD QUESTION

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

3.

FLASHCARD QUESTION

Front

If a figure is dilated by a scale factor of 3, what happens to its coordinates?

Back

Each coordinate (x, y) of the figure is multiplied by 3, resulting in new coordinates (3x, 3y).

4.

FLASHCARD QUESTION

Front

What are the coordinates of point A(3,3) after a dilation by a scale factor of 3?

Back

A'(9,9) because (3*3, 3*3) = (9, 9).

5.

FLASHCARD QUESTION

Front

What happens to a polygon when it is dilated by a scale factor less than 1?

Back

The image of the polygon becomes smaller than the original polygon.

6.

FLASHCARD QUESTION

Front

What is the result of the dilation transformation (x, y) --> (2x, 2y)?

Back

This transformation doubles the size of the figure, making it larger.

7.

FLASHCARD QUESTION

Front

If a triangle is dilated by a scale factor of 2, how does its area change?

Back

The area of the triangle increases by a factor of 2^2 = 4.

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