Scale Drawing of a Pentagon

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Questions and Answers

Write an equation that relates the side lengths of the scale drawing to the side lengths of the original figure. Let y represent a side length of the scale drawing, and let x represent the corresponding side length of the original figure.

y = 1/4x

What is the value of y when x = 4?

4

Flashcards

Scale Drawing

A drawing that represents an object with accurate proportions, but reduced or enlarged in size.

Scale Factor

The ratio between a side length of the original figure and the corresponding side length of the scale drawing.

Scale Drawing Equation

An equation relating the side lengths of a scale drawing (y) to the corresponding side lengths of the original figure (x).

Enlargement

When the scale factor is greater than 1, the scale drawing is larger than the original figure.

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Reduction

When the scale factor is less than 1, the scale drawing is smaller than the original figure.

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Finding Actual Distances

A process of finding the actual measurements of an object from a scale drawing.

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Pentagon

A geometric shape with five sides.

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Similar Figures

A figure that has the same shape but different size as another figure.

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Determining Side Lengths

The process of using a scale factor to calculate the dimensions of a missing side in a similar figure.

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Scale Factor (in Similar Figures)

The value that represents the ratio between corresponding sides of similar figures.

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Calculating Side Length with Scale Factor

To find the length of a side in a similar figure, multiply the corresponding side in the original figure by the scale factor.

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Calculating Scale Factor

To find the scale factor between two similar figures, divide any side length of one figure by the corresponding side length of the other figure.

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Study Notes

Problem Description

  • Shawn created a pentagon and a scale drawing of the pentagon
  • The problem asks to write an equation that relates the side lengths of the scale drawing to the side lengths of the original figure

Equation

  • y = 7/4 x

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