Scale Drawing Length and Area

Draw

On the grid, draw a scaled copy of Polygon Q using a scale factor of 2.

Multiple Choice

What is the relationship between the perimeter and area of the new polygon compared to those of Q?

• The relationship varies based on the dimensions and shape of the new polygon compared to Q.
• The perimeter and area are equal for all polygons.
• The area is always twice the perimeter.
• The perimeter is always greater than the area.

Open Ended

A right triangle has an area of 36 square units. If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be? Explain or show your reasoning.

Open Ended

Diego drew a scaled version of a Polygon P and labeled it Q. If the area of Polygon P is 72 square units, what scale factor did Diego use to go from P to Q? Explain your reasoning.

Multiple Choice

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy compared to that of Triangle A?

• 1
• 3
• 2
• 4

Multiple Choice

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. What scale factor did Lin apply to the Triangle A to create the copy?

• 2
• 3
• sqrt(3)
• sqrt(2)

Multiple Choice

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. What is the length of the bottom side of the scaled copy?

• The length of the bottom side is 24 units.
• The length of the bottom side is 12 units.
• The length of the bottom side is 36 units.
• Length of the bottom side of the scaled copy is determined by the scale factor.

Multiple Choice

What is the capital of France?

• Paris
• Rome
• Madrid
• Berlin

Multiple Choice

What is the capital of France?

• Berlin
• Madrid
• Rome
• Paris

Multiple Choice

For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? 3. Triangle B and Triangle F

• 2
• 5/3
• 3/2
• 4/3