Similar Figures and Indirect measure

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the principle of indirect measurement?

Back

Indirect measurement is a technique used to measure objects that are difficult to measure directly, often using similar triangles and proportional relationships.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of corresponding sides of similar triangles are in proportion.

Front

How do you find the missing side of a similar triangle?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If a gymnasium is 96 feet long and 75 feet wide, what is its area?

Back

Area = 96 feet × 75 feet = 7200 square feet.

Front

How do you calculate the area of a scaled-down blueprint of a gymnasium?

Back

Use the scale factor to find the dimensions on the blueprint, then apply the area formula.

Front

What is the relationship between the lengths of shadows and the heights of objects?

Back

The lengths of shadows are proportional to the heights of the objects casting them, allowing for indirect measurement.

Front

If a 6-foot person casts a 2-foot shadow, what is the height of a flagpole that casts a 10-foot shadow?

Back

Using proportions: (6 ft / 2 ft) = (h / 10 ft) → h = 30 ft.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.