Get Cw/hw Review #1: Proportions-- Unit Rate, Ratio & Similar Figures

Step 1: To find the ratio of the corresponding sides of two similar figures, first, find two corresponding sides of the figures. Then, write the ratio and simplify the expression. Step 2: The ratio of the areas of two similar figures is equal to the square of the ratio of the corresponding sides.

Glossary. A proportion is an equation of the form ab=cd,where\(b≠0, d≠0. The proportion is read “a is to b c is to d." Two figures are similar if the measures of their corresponding angles are equal and their corresponding sides are in the same ratio.

If two quantities x and y are in direct proportion, then y = kx and when two quantities x and y are in indirect proportion, then y = k/x, where k is the constant of proportionality.

However, a proportion is a part, share or number considered in comparative relation to a whole, while the ratio is the relative size of two values. A rate is the quantity that is divided by another quantity and all three measure have different properties.

2:39 13:26 Ratio and Proportion Word Problems - Math - YouTube YouTube Start of suggested clip End of suggested clip Class. Now if there's 40 boys in the class how many girls or x will be in that same. Class. So thisMoreClass. Now if there's 40 boys in the class how many girls or x will be in that same. Class. So this is the formula that we need to solve let's cross multiply. So this is going to be 8 times x.

So A corresponds to a, B corresponds to b, and C corresponds to c. Since these triangles are similar, then the pairs of corresponding sides are proportional. That is, A : a = B : b = C : c. In words, this tri-part equation says, "Big-A is to little-A as big-B is to little-B and as big-C is to little-C".

One way is to cross-multiply. There's a property you can use called the Means Extremes Property. It says that the cross products of a proportion will be equal.