Mini Test Chapter 7 Similarity Geometry Honors

Front

What is the definition of similarity in geometry?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

If the sides of a triangle are in the ratio 3:5:7, how do you find the length of the smallest side if the perimeter is known?

Back

To find the smallest side, first calculate the total parts of the ratio (3+5+7=15). Then, divide the perimeter by the total parts (240/15=16). Multiply the smallest ratio part by this value (3*16=48).

Front

What is the relationship between the sides of similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

How do you determine the perimeter of a similar triangle if you know the perimeter of one triangle?

Back

If two triangles are similar, the ratio of their perimeters is the same as the ratio of their corresponding sides.

Front

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

Back

Height = (Height of object 1 / Length of shadow 1) * Length of shadow 2.

Front

If a 10-foot tall tree casts a shadow, how can you find the length of a person's shadow using proportions?

Back

Set up a proportion: (Height of tree / Length of tree's shadow) = (Height of person / Length of person's shadow). Solve for the unknown.

Front

What does it mean for two triangles to be similar?

Back

It means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the length of a side in a similar triangle?

Back

Use the ratio of the corresponding sides from the similar triangles to set up a proportion and solve for the unknown side.

Front

What is the significance of the ratio in similar triangles?

Back

The ratio indicates how much larger or smaller one triangle is compared to another, maintaining the same shape.

Front

What is the formula for the perimeter of a triangle?

Back

Perimeter = side1 + side2 + side3.