Geometry and Circle Properties

10 Questions

What is the formula for the area of a square?

A = s × s

What is the formula for finding the circumference of a circle?

C = 2ℼr

Which type of triangle has two congruent sides and one unique side and angle?

Equilateral triangle

What are the exterior angles in the context of geometric figures?

Angles that lie outside the two lines cut by a transversal

What is the formula to find the radius of a circle if the diameter is given?

R = Diameter/2

Which type of angle measures exactly 90°?

Straight angle

What is the name for angles that lie on the same side of the transversal and add up to 180°?

Same-side interior angles

According to the SSS Congruence Postulate, when are two triangles congruent?

If the three corresponding sides of triangles are congruent

What do we call segments with the same measurement?

Congruent segments

Which of the following represents exterior angles on the opposite side of the transversal?

∠1 and ∠7

Study Notes

Formulas in Geometry

Area of a square is calculated using the formula: A = s², where s represents the length of one side.
Circumference of a circle is determined by the formula: C = 2πr or C = πd, where r is the radius and d is the diameter.

Types of Triangles

An isosceles triangle has two congruent sides and one non-congruent side, resulting in equal angles opposite the congruent sides.

Angles in Geometry

Exterior angles refer to angles formed outside of parallel lines when a transversal intersects them.
A right angle measures exactly 90°.
Consecutive interior angles on the same side of the transversal add up to 180° and are known as supplementary angles.

Triangle Congruence

According to the Side-Side-Side (SSS) Congruence Postulate, two triangles are congruent if all three pairs of corresponding sides are equal in length.

Segments and Angles

Segments with identical lengths are referred to as congruent segments.
Exterior angles located on opposite sides of the transversal are called alternate exterior angles.