Similar Triangles Applications Practice

Front

What are similar triangles?

Back

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

Front

What is the principle of proportionality in similar triangles?

Back

The principle of proportionality states that in similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

How can you find the height of an object using shadows?

Back

You can find the height of an object using shadows by setting up a proportion between the height of the object and the length of its shadow, compared to another object with a known height and shadow length.

Front

What is the formula for finding the height of an object using similar triangles?

Back

The formula is: (Height of Object 1 / Length of Shadow 1) = (Height of Object 2 / Length of Shadow 2).

Front

How do you solve for an unknown height using similar triangles?

Back

To solve for an unknown height, cross-multiply the known values in the proportion and then isolate the variable.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are in proportion, meaning that the ratio of one pair of corresponding sides is equal to the ratio of another pair of corresponding sides.

Front

What is the significance of the angles in similar triangles?

Back

In similar triangles, all corresponding angles are equal, which is a key property that defines similarity.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if they have two pairs of corresponding angles that are equal or if the lengths of their corresponding sides are proportional.

Front

What is the concept of enlargement in geometry?

Back

Enlargement in geometry refers to increasing the size of a shape while maintaining its proportions, resulting in similar figures.

Front

How do you calculate the dimensions of an enlarged shape?

Back

To calculate the dimensions of an enlarged shape, multiply the original dimensions by the scale factor of enlargement.