Triangle Congruence Proofs Challenge

What is the purpose of the T-chart in triangle congruence proofs?

• To draw complex diagrams

• To calculate angles and sides

• To organize statements and their corresponding reasons

• To compare different triangles

What should always be included in a triangle congruence proof diagram?

• Only the given information

• Detailed calculations

• Labels for all elements

• Color coding for clarity

What does a perpendicular bisector guarantee about the angles it intersects?

• They are supplementary

• They are complementary

• They are congruent right angles

• They are obtuse

What geometric concept is illustrated by a line being the perpendicular bisector of another line?

• Parallel lines

• Right angles formation

• Equal angle measures

• Congruent triangles

What does being a bisector imply about the segments it divides?

• They are perpendicular

• They are congruent

• They are parallel

• They are of equal length

What property states that a geometric element is congruent to itself?

• Distributive property

• Reflexive property

• Symmetric property

• Transitive property

In the proof involving the perpendicular bisector, what congruence rule is ultimately used?

• Side-Angle-Side

• Side-Side-Side

• Angle-Side-Angle

• Angle-Angle-Side

Why is the reflexive property important in triangle congruence proofs?

• It calculates exact measurements

• It shows a side or angle is congruent to itself

• It helps establish base cases

• It proves triangles are similar

What does the midpoint of a segment ensure about the segments it divides?

• They are congruent

• They are bisected

• They are parallel

• They are perpendicular

Which congruence rule applies when all three sides of one triangle are congruent to another?

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Angle-Side

• Side-Side-Side