Geometry SOL Review 3

Front

What does the SAS postulate state about triangles?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the formula for the surface area of a square pyramid?

Back

The surface area (SA) of a square pyramid is given by the formula: SA = Base Area + Lateral Area = s² + 2sl, where s is the length of the base and l is the slant height.

Front

How do you find the surface area of similar spheres given a scale factor?

Back

If two spheres have a scale factor of a:b, the ratio of their surface areas is a²:b². For example, if the scale factor is 1:3, the surface area ratio is 1²:3² = 1:9.

Front

What is the ratio of the volumes of two similar pyramids with heights 4 inches and 7 inches?

Back

The ratio of the volumes of similar pyramids is the cube of the ratio of their heights. Therefore, the ratio is (4:7)³ = 64:343.

Front

What does the SSS postulate state about triangle similarity?

Back

The SSS (Side-Side-Side) postulate states that if the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are similar.

Front

Define composite surface area in geometry.

Back

Composite surface area refers to the total surface area of a three-dimensional shape that is made up of two or more simpler shapes.

Front

What is the formula for the surface area of a sphere?

Back

The surface area (SA) of a sphere is given by the formula: SA = 4πr², where r is the radius of the sphere.

Front

How do you calculate the volume of a pyramid?

Back

The volume (V) of a pyramid is calculated using the formula: V = (1/3) × Base Area × Height.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is a:b, then the area ratio is a²:b².

Front

What is the formula for the volume of a sphere?

Back

The volume (V) of a sphere is given by the formula: V = (4/3)πr³, where r is the radius of the sphere.