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I really need help answering this geometry question!(based on picture)? 13. Finish the...

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tjjavid | Student, Undergraduate | Honors

Posted March 26, 2013 at 7:08 AM via web

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I really need help answering this geometry question!(based on picture)?

13. Finish the proof that line BC is congruent to line DE by filling in the missing statements and reasons. 1. AB is equal to AD(statement) 1. Given(reason)
2. angle BAC is congruent to angle DAE(statement) 2._________(reason)?
3.line AC is congruent to line AE(statement) 3.given(reason)
4._______(statement) 4.________(reason)?
5. line BC is congruent to line DE(statement) 5._____________(reason)?

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2 Answers | Add Yours

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quirozd | High School Teacher | (Level 3) Adjunct Educator

Posted March 26, 2013 at 2:30 PM (Answer #2)

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To complete the answer and to make sure you have it...

The idea is that you need to prove that the two triangles are congruent, doing so will allow you to say that the two sides are congruent. Can you visualize flipping the triangle AED over to line up with triangle ACB? Also note that there is a naming convention for triangles. Once you name one, the other should be named in the same order, e.g. Triangle ABC, the equivalent name for the other triangle would be Triangle ADE - note that the points correspond to each other. Can you come up with the other names? (Hint see line 2 below)

1. AB is equal to AD(statement) 1. Given(reason)

2. angle BAC is congruent to angle DAE (statement)

2. Reflexive property -same angle- (reason)

3.line AC is congruent to line AE(statement) 3.given(reason)

4.Triangle AED is congruent to Triangle ACB (statement) 4.Side Angle Side Congruency (reason)

5. line BC is congruent to line DE(statement) 5.Corresponding Parts of Congruent Triangles are Congruent (reason)

Hope that helps!

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pramodpandey | College Teacher | Valedictorian

Posted March 26, 2013 at 7:48 AM (Answer #1)

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1.   Triangle (AED) congruent to Triangle(ACB)

2.  Same angle.

3.  AB+BE=AD+DE

4. Triangle (AED) congruent to Triangle(ACB)

congruent part of congruent triangles are equal.

    

 

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