Similarity Flashcard

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures 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 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.

Front

If two triangles are similar, what can we say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If the side ratio of two similar triangles is 3:2, what is the ratio of their areas?

Back

The ratio of their areas is the square of the side ratio, so (3:2)² = 9:4.

Front

What is the area of a triangle with a base of 10 units and a height of 5 units?

Back

The area is 25 square units, calculated using the formula: Area = 1/2 * base * height.

Front

How do you find the height of a tall object using a mirror?

Back

You can find the height by standing at a distance where you can see the top of the object in the mirror and using similar triangles to calculate the height.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of a similar triangle will also measure 30°, 60°, and 90°.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length * width.

Front

If the area of a smaller similar figure is 50 square units and the scale factor to a larger figure is 4, what is the area of the larger figure?

Back

The area of the larger figure is 50 * (4²) = 800 square units.