Similar Triangles Application Test A!

Front

What is the definition of 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 AA criterion for triangle similarity?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

Front

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

Back

To calculate the height of an object using similar triangles, set up a proportion comparing the height of the object to the height of a shadow, and the distance from the object to the observer to the distance from the shadow to the observer.

Front

What is the formula for the area of a triangle?

Back

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the scale factor?

Back

Front

What is the relationship between the sides of a right triangle and the Pythagorean theorem?

Back

Front

How do you find the area of a triangle after dilation?

Back

Front

What is the definition of ocean frontage in real estate?

Back

Ocean frontage refers to the distance along the edge of a piece of property that directly touches the ocean.

Front

How can you use proportions to solve for an unknown length in similar triangles?

Back

Front

What is the significance of the scale factor in dilating a triangle?

Back

The scale factor determines how much larger or smaller the dilated triangle will be compared to the original triangle. A scale factor greater than 1 enlarges the triangle, while a scale factor less than 1 reduces it.