Q3 PROVING

Which of the theorems below states that: “If two angles and a non-included side of one triangle are congruent to the corresponding two angles and a non-included side of another triangle, then the triangles are congruent.”?

• HA Congruence Theorem

• HL Congruence Theorem

• LL Congruence Theorem

• AAS Congruence Theorem

Which of the following theorems states that: “If the hypotenuse and an acute angle of one right triangle are congruent to the corresponding hypotenuse and an acute angle of another right triangle, then the triangles are congruent.”?

• HA Congruence Theorem

• HL Congruence Theorem

• LL Congruence Theorem

• AAS Congruence Theorem

Congruent parts are marked. What is the other part that are congruent? What postulate best proves the congruence of the two triangles?

• Angle P and Angle R by SAS Postulate

• Segment AT and Segment TA by Reflexive Property

• Angle P and Angle R by ASA Postulate

• Segment AT and Segment TA by SSS Postulate

_____ is a theorem/definition that proves angle SAD and angle FTA are congruent?

By ASA postulate, the two triangles are congruent. What part of the triangles should be marked congruent?

• Angle H and Angle S

• Segment RT and Segment TR

• Angle HRS and Angle STH

• Segment ST and Segment RH

Which of the following proves that angle A and angle N are congruent?

• Reflexive Property

• Angle Bisector Theorem

• Definition of Vertical Angles

• Definition of Right Angles

In the figure, what segment is the angle bisector?

• OH

• OM

• OE

• HM

What part of a house forms congruent triangles similar to the picture?

• Trusses

• Wall

• Floor

• Stairs