Triangle Dilations

Triangle Dilations

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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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 keeps its shape, using a scale factor.

2.

FLASHCARD QUESTION

Front

What does the scale factor (k) represent in a dilation?

Back

The scale factor (k) represents the ratio of the length of a side of the new figure to the length of the corresponding side of the original figure.

3.

FLASHCARD QUESTION

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

4.

FLASHCARD QUESTION

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

5.

FLASHCARD QUESTION

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted.

6.

FLASHCARD QUESTION

Front

How do you find the coordinates of a dilated point (x, y) with a scale factor of k?

Back

Multiply both coordinates by the scale factor: (kx, ky).

7.

FLASHCARD QUESTION

Front

What is the algebraic expression for a dilation with a scale factor of 2?

Back

(x, y) → (2x, 2y).

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