Investigation 4 – Similarity and Ratios
Problem 4.1 – Ratios Within Similar Parallelograms
Name ____________________________
Problem 4.1 – Ratios Within Similar Parallelograms
A.
The lengths of two sides are given for each rectangle.
1. For each rectangle, find the ratio of the length of the short side to the length of the long side.
Rectangle A: _______________
Rectangle B: _______________
Rectangle C: _______________
Rectangle D: _______________
2. Which rectangles are similar? ____________________________________________
3. Look at your answers in question 1. Complete the following statements:
a. If two shapes are similar, the ratio of their sides ___________________________________?
b. If two shapes are not similar, the ratio of their sides ___________________________________?
4a. What is the ratio of the long side of Rectangle A to the long side of Rectangle B? ____________
4b. What is the ratio of the short side of Rectangle B to the short side of Rectangle A? ____________
4c. What is the ratio of the short side of Rectangle A to the short side of Rectangle C? ____________
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Investigation 4 – Similarity and Ratios
Problem 4.1 – Ratios Within Similar Parallelograms
Name ____________________________
B.
The lengths of the sides of the parallelograms are given.
1. For each parallelogram, find the ratio of the length of the longer side to the length of the shorter
side.
Write the ratio of long
side to short side as a
fraction.
Write the ratio of long
side to short side as a
decimals.
Parallelogram E
Parallelogram F
Parallelogram G
2. Which of the parallelograms are similar? ______________________________________
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