4.2.1 Scale Drawings & Similar Figures

Match

Match the definitions to the correct terms

• The original figure

• The new figure

• A smaller or larger copy of a figure, object, or place

• A way to describe the relationship between a figure, object, or place that is a smaller or larger copy

• Figures that have proportional side lengths and congruent corresponding angles

Pre-image

Image

Scale drawing or model

Scale

Similar figures

• Pre-image

• Image

• Scale drawing or model

• Scale

• Similar figures

Labelling

What are the lengths of the larger trapezoid if the scale factor is 4

Drag labels to their correct position on the image

8

20

16

6

9

Hotspot

An actual bedroom has a length of 14 feet and width of 10 feet. Which answer choice shows a correct scale drawing of the actual bedroom using a scale factor of ¼?

Hotspot

There is a blueprint of a house drawn by an architect where a rectangular room measures 6 inches wide and 9 inches long. The actual room is 18 feet wide.

Which proportion(s) is/are correctly set up to solve the problem of the missing length of the room?

Multiple Choice

There is a blueprint of a house drawn by an architect where the rectangular room measures 3.25 inches wide and 6.5 inches long. The actual room is 18 feet wide. How long is the actual room?

• 36 feet

• 30 feet

• 18 feet

• 25 feet

Math Response

The two rectangles are scaled drawings of one another. What is the length of the missing side?

Type answer here

Correct Answer: 4

Deg^°

Rad

Draw

Other than tired :) ...

How are you feeling after the first lesson???

Circle how you are feeling!

The best medicine is to have a good laugh!

Take a mind break!

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Come back at:

Multiple Select

Which statements are true for similar polygons?

• They have congruent sides but different angles

• They have different scale factors between the corresponding sides

• They have congruent corresponding angles

• They have proportional corresponding sides

Multiple Choice

A square and a rhombus are shown. Which claim is correct and why?

•Claim 1: These polygons are similar because their side lengths are all the same.

•Claim 2: These polygons are not similar because the angles are different.

• A.Claim 1 is correct because similar figures always have four congruent side lengths.

• A.Claim 2 is correct because similar figures always have congruent corresponding angles.

• A.Claim 1 is correct because similar figures sometimes have congruent corresponding side lengths.

• A.Claim 2 is correct because similar figures sometimes have congruent corresponding angles.

Fill in the Blank

Are the following figures similar: yes or no

Fill in the Blank

Are the following figures similar: yes or no

Fill in the Blank

Are the following figures similar: yes or no

Fill in the Blank

Are these two polygons similar? Why or Why not? Select the letter

A.No, the polygons have corresponding sides that are proportional, but the angles are not congruent.

B.Yes, the polygons are not the same shape, and the sides are not the same length.

C.No, the polygons have corresponding angles that are the same but do not have corresponding side lengths with the same scale factor.

D.Yes, the polygons have corresponding angles that are the same and corresponding side lengths with the same scale factor.

Multiple Choice

What is the true statements about the two figures shown ?

• A.The figures are similar with a scale factor of 8.

• A.The figures are similar with a scale factor of 2/3

• A.The figures are similar with a scale factor 1/3

• A.The figures are not similar because there is no common scale factor.

Poll

Are you muddy, buggy or clear after this lesson?

• muddy windshield you do not understand

• buggy windshield in the middle

• clear windshield you understood