Vocabulary
What's the new dimension?
What's my scale factor?
Ratios
Volume and Area
100
Two or more figures are similar if they the same_____.
What is corresponding angles and sides that in proportion.
100
Use a scale factor of 2.5 to create a similar rectangle to a 2in by 3in rectangle. What are the length and width of the new rectangle.
What is 5in x 7.5in
100
A trapezoid with a base of 9cm and a height of 6cm, changed to a trapezoid with a base of 3cm and a height of 2 cm.
What is 1/3 or .33
100
What is the ratio of a shape with corresponding sides that are 24in long and 48in long?
What is 24/48 or 1/2
100
If the scale factor for 2 similar rectangles is 3, what is the scale factor for their areas?
What is 9
200
If your scale factor is greater than 1 your new figure will be _________ than the original figure.
What is larger.
200
Use a scale factor of 1/3 to create a similar square to a 27in by 27in square. What are the length and width of the new square.
What is 9in x 9in
200
9 in by 21 in rectangle and a 2.25 in by 5.25 in rectangle
What is 1/4 or .25
200
When we state that the corresponding sides of similar figures are in proportion, we mean that these ratios are all ______.
What is equivalent.
200
What happens to the area of a triangle created using the scale factor of 1/3?
What is The area of the triangle will be 1/9 of the original area
300
The ratio of the length of the line segments of a figure to the corresponding line segments of another figure
What is scale factor.
300
What happens to the perimeter of a two-dimensional shape with a scale factor of 4?
What is The perimeter will be four times longer than the original perimeter
300
A rectangle with a line segment of 56in and a corresponding line segment of 42 in
What is 1/8
300
Form a ratio that compares the measurements of distinct corresponding sides. Trapezoids- 14cm x 20cm x 6cm, 3.5cm x 5cm x 1.5cm
What is 14cm to 3.5 cm, 20cm to 5cm, 6cm to 1.5cm
300
The volume of an enlarged cube is 64 cubic units. If the original cube was 2 units by 2 units by 2 units, what scale factor was used in this enlargement? Explain how you know.
What is The original cube has a volume of 8 cubic units. If each side length is doubled (4 x 4 x 4), the new volume will be 64 cubic units. Another way to think of this is that when the scale factor is 2, the volume will be 8 times greater, since each of the dimensions is doubled (2 x 2 x 2).
400
Define and give an example of proportion
What is an equation that states that two ratios are equal. 1/2=2/4
400
The area of the scaled figure was 243 square inches. The scale factor was 3. What was the original area?
What is 27 square inches
400
A rectangle with a line segment of 8 in and a corresponding line segment of 52in
What is 6.5
400
If a student is 60 inches tall and he has a photograph of himself in which he measures 3 inches tall, what two ratios can be used to compare corresponding heights?
What is 60:3 or 3:60 (20 times larger or the photo is a reduction that shows his height as 1/20 of his real height).
400
The volume of a cube is 5,832 cubic units. What are the cube's dimensions?
What is 18 x 18 x 18
500
Define and express three different ways to represent a ratio
What is a comparison of two or more numbers. 2 to 3, 2:3 or 2/3
500
The perimeter of a rectangle is 32 inches. It was enlarged by a scale factor of 2. What could be some of the dimensions of the original figure?
What is 1 x 7, 2 x 6, 3 x 5, or 4 x 4
500
A square has an area of 25 square inches. A similar figure has an area of 225 inches. What was the scale factor?
What is 3
500
The corresponding sides of a rectangle have a ratio of 3:4. Name three equivalent ratios.
6:8, 1.5:2, 12:16 are some examples
500
The volume of a rectangular prism is 18 cubic units. List the dimensions of all rectangular prisms that can have the same volume. Be systematic!
What is 1 x 18 x 1, 1 x 2 x 9, 1 x 3 x 6, 2 x 3 x 3
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