Flashcard 5.5 & 6.1-6.3

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find a missing side in similar figures?

Back

To find a missing side in similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the formula to find the total number of items packed over time?

Back

Total items packed = (items per hour) x (number of hours).

Front

If a dog to cat ratio is 5:3 and there are 25 dogs, how do you find the number of cats?

Back

Set up the proportion 5/3 = 25/c and solve for c, which gives c = 15.

Front

What is the relationship between the height of an object and the length of its shadow?

Back

The height of an object and the length of its shadow are proportional, meaning if one increases, the other does as well, maintaining a constant ratio.

Front

How do you calculate the height of an object using shadows?

Back

Use the proportion: height of object 1 / length of shadow 1 = height of object 2 / length of shadow 2.

Front

What is the corresponding side to line segment AC in a triangle?

Back

The corresponding side to line segment AC is the side opposite to it in a similar triangle.

Front

If Nathan packs 39 boxes in 3 hours, how many boxes does he pack per hour?

Back

He packs 39 boxes / 3 hours = 13 boxes per hour.