Similar Triangles Application Test M

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How do you calculate the height of an object using similar triangles?

Back

Set up a proportion comparing the height of the object to the length of its shadow and the height of a reference object to its shadow.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If triangle ABC is dilated by a scale factor of k, how does the area change?

Back

The area of the triangle is multiplied by k^2.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).

Front

How do you find the distance across a river using similar triangles?

Back

Use the heights and distances of two points to set up a proportion that allows you to solve for the unknown distance.

Front

What does 'ocean frontage' refer to in real estate?

Back

The distance along the edge of a property that touches the ocean.

Front

What is the significance of the scale factor in dilations?

Back

The scale factor determines how much larger or smaller the dilated figure is compared to the original figure.

Front

How can you determine if two triangles are similar using the SSS criterion?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.