Geometry - Semester Exam 2024-25

Front

What is the measure of a central angle in a circle?

Back

A central angle is the angle whose vertex is at the center of the circle and whose sides are radii of the circle. Its measure is equal to the measure of the arc it intercepts.

Front

Define a tangent line in relation to a circle.

Back

A tangent line is a straight line that touches a circle at exactly one point. It does not cross into the circle.

Front

What is the relationship between the angles in an inscribed quadrilateral?

Back

The opposite angles of an inscribed quadrilateral are supplementary, meaning they add up to 180 degrees.

Front

How do you find the value of y in a triangle if you know the other angles?

Back

You can find the value of y by using the triangle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.

Front

What is a major arc in a circle?

Back

A major arc is an arc that is larger than a semicircle, meaning it measures more than 180 degrees.

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that is smaller than a semicircle, meaning it measures less than 180 degrees.

Front

What is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by the formula A = πr², where r is the radius of the circle.

Front

What is a secant line in relation to a circle?

Back

A secant line is a line that intersects a circle at two points.

Front

How do you determine if two segments are tangent to a circle?

Back

Two segments are tangent to a circle if they touch the circle at exactly one point each and are perpendicular to the radius at the point of contact.