2nd Semester Geometry review

Front

What is the formula for the area of a sector in a circle?

Back

The area of a sector is given by the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the value of x in a triangle?

Back

Use the properties of triangles, such as the sum of angles in a triangle equals 180 degrees, or apply the Pythagorean theorem for right triangles.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): \( a^2 + b^2 = c^2 \).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( A = \frac{1}{2} \times base \times height \).

Front

What is the relationship between the angles and sides of similar triangles?

Back

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

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: \( C = 2\pi r \), where \( r \) is the radius.

Front

How do you calculate the area of a circle?

Back

The area of a circle is calculated using the formula: \( A = \pi r^2 \), where \( r \) is the radius.

Front

What is the definition of a sector in a circle?

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.