Mathematics Quiz #3

∆ABC is isosceles ∆. If BD bisects ∠B, can you prove ∆ABD ≅ ∆CBD?

• No.

• Yes.

• It is impossible

• I have no idea

A triangle congruence postulate which states that if two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the two triangles are congruent.

• AAS

• ASA

• SAS

• SSS

What congruence postulate is being illustrated by the figure?

• AAS

• ASA

• SAS

• SSS

Karen knows that AB ≅ XY and AC ≅ XZ. What other information must she know to prove that ∆ ABC ≅ ∆ XYZ by SAS postulate?

• ∠B ≅∠Y

• ∠C ≅ ∠Z

• ∠A ≅ ∠X

• ∠C ≅ ∠X

What is the measure of ∠B given the figure at the right?

• 22°

• 58°

• 64°

• 108°

If AB is a perpendicular bisector of XY at point B, which of the following CANNOT be drawn as a conclusion from the given information?

• AB ≅ BX

• B is the midpoint of XY.

• BX ≅ BY

• ∠ABX and ∠ABY are right angle

Which of the following triangle congruence postulates does NOT belong to the group?

• AAS

• ASA

• SAS

• SSS

Which of the following triangle congruence postulates states that if two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the two triangles are congruent.

• AAS

• ASA

• SAS

• SSS

Given: ∠CBA and ∠DBA are right angles, CA≅DA

Prove: ∆ABC≅∆ABD

STATEMENT: ∠CBA and ∠DBA are right angles, CA ≅ DA.

REASON: Given

STATEMENT: __________

REASON: Reflexive Property

• CA ≅ DA

• CB ≅ BD

• BA ≅ BA

• AD ≅ DA

Given: ∠CBA and ∠DBA are right angles, CA≅DA

Prove: ∆ABC≅∆ABD

STATEMENT: ∠CBA and ∠DBA are right angles, CA ≅ DA.

REASON: Given

STATEMENT: ∆ABC ≅ ∆ABD

REASON: __________

• H-AA

• H-L

• L-AA

• L-L