Geometry Proofs Quiz

What is the basic structure of a geometry proof?

• A diagram, given information, and a statement to be proved

• A set of unrelated mathematical problems

• A collection of algebraic equations

• A list of definitions and theorems

In the first example, what is the given information?

• Angle GFK is a right angle

• Triangle GFK is isosceles

• Line GJ and line HK bisect each other at F

• Line GJ is parallel to line HK

Which postulate is used to prove triangle congruence in the first example?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

What is the first given in the second example?

• Segment SV is parallel to segment UV

• R is the midpoint of segment SU

• Triangle RSV is equilateral

• Angle RSV is a right angle

Which postulate is used to prove triangle congruence in the second example?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

What is the reason for concluding that VR is congruent to itself in the second example?

• Base angle theorem

• Vertical angles are congruent

• Reflexive property

• Definition of midpoint

In the third example, what is the goal of the proof?

• To prove that two angles are equal

• To prove that a triangle is isosceles

• To prove that two line segments are congruent

• To prove that two triangles are congruent

Which postulate is used to prove line segment congruence in the third example?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

What theorem is used to identify triangle BCE as isosceles in the third example?

• Vertical Angle Theorem

• Base Angle Theorem

• Midpoint Theorem

• Pythagorean Theorem

What is the main purpose of the conclusion section?

• To encourage subscription and further learning

• To summarize the lesson

• To introduce a new topic

• To provide additional examples