In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle rst is congruent to triangle rsq given that rs ⊥ st, rs ⊥ sq, and ∠str ≅ ∠sqr. submit the entire proof to your instructor. given: rs ⊥ st rs ⊥ sq ∠str ≅ ∠sqr prove: △rst ≅ △rsq statement 1. rs ⊥ st, rs ⊥ sq, ∠str ≅ ∠sqr 2. 3. 4.△rst ≅ △rsq reason 1. 2. 3. 4.

Give the statement: , and

Perpendicular means if a line meeting another at a right angle or 90°

In Δ RST and Δ RSQ

             [Given]

By definition of perpendicular;

  [Angle]

  [Angle]           [Given]

Reflexive property states that a value is equal to itself.

 [Side]        [Reflexive property ]

AAS(Angle -Angle -Side] Postulates states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent.

Then, by AAS postulates;

Two column proof:

Statement                                         Reason

1. ,                                  Given  

2.       def. of perpendicular

3.                                 by  Reflexive property

4. △RST ≅ △RSQ                                            AAS postulates.

Give the statement: , and

Perpendicular means if a line meeting another at a right angle or 90°

In Δ RST and Δ RSQ

             [Given]

By definition of perpendicular;

  [Angle]

  [Angle]           [Given]

Reflexive property states that a value is equal to itself.

 [Side]        [Reflexive property ]

AAS(Angle -Angle -Side] Postulates states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent.

Then, by AAS postulates;

Two column proof:

Statement                                         Reason

1. ,                                  Given  

2.       def. of perpendicular

3.                                 by  Reflexive property

4. △RST ≅ △RSQ                                            AAS postulates.

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step-by-step explanation:

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