document.write( "Question 28921: I have two problems that I need help: Problem #1: \r
\n" ); document.write( "\n" ); document.write( "Prove triangle ABC is congruent to triangle EDC. If, I have been given: line segment AE & BD are line segments intersecting at point C. And line segment AC is congruent to line segment EC. And line segment BC is congruent to line segment DC.\r
\n" ); document.write( "\n" ); document.write( "I wrote my STATEMENTS and REASONS as follows:\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 1. Line segments AE & DB intersect at C.
\n" ); document.write( "REASON: 1. Given.\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 2. Line segments AC & EC are congruent.
\n" ); document.write( "REASON: 2. Given.\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 3. Line segments BC & DC are congruent.
\n" ); document.write( "REASON: 3. Given.\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 4. Angles ACB & ECD are congruent.
\n" ); document.write( "REASON: 4. Vertical angles are congruent (Theorem)\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 5. Triangles ABC & EDC are congruent.
\n" ); document.write( "REASON: 5. (SSS are congruent to SSS). If three sides of one triangle are congruent, respectively, to three sides of a second triangle, then the triangles are congruent. (Postualte)\r
\n" ); document.write( "\n" ); document.write( "I'm not sure if Step 4 is correct or if I can even write that statement.
\n" ); document.write( "Please help.\r
\n" ); document.write( "\n" ); document.write( "Problem #2:\r
\n" ); document.write( "\n" ); document.write( "Prove triangle ADB is congruent to triangle ACE. If, I have been given: line segment AD is congruent to line segment AC. And line segment AB is congruent to line segment AE.\r
\n" ); document.write( "\n" ); document.write( "I wrote my STATEMENTS & REASONS as follows; does it make sense? if not, how do I approach this problem?:\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 1. Line segments AD & AC are congruent.
\n" ); document.write( "REASON: 1. Given.\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 2. The measurement of line segment AD is equal to the measurement of line segment AC.
\n" ); document.write( "REASON: 2. Two line segments are congruent if, and only if, they have the same measure. by Definition.\r
\n" ); document.write( "\n" ); document.write( "STATEMENT: 3. Line segments AB & AE are congruent.
\n" ); document.write( "REASON: 3. Given.\r
\n" ); document.write( "\n" ); document.write( "Now, I'm not sure where to go from here? Do I try to solve it by making all the sides congruent to each other?\r
\n" ); document.write( "\n" ); document.write( "Please help.
\n" ); document.write( "Sincerely, \"nani\"
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #15838 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
GOOD JOB!KEEP IT UP!YOU HAVE GOT IT ALMOST CORRECT
\n" ); document.write( "SEE BELOW
\n" ); document.write( "I have two problems that I need help: Problem #1:
\n" ); document.write( "Prove triangle ABC is congruent to triangle EDC. If, I have been given: line segment AE & BD are line segments intersecting at point C. And line segment AC is congruent to line segment EC. And line segment BC is congruent to line segment DC.
\n" ); document.write( "I wrote my STATEMENTS and REASONS as follows:
\n" ); document.write( "STATEMENT: 1. Line segments AE & DB intersect at C.
\n" ); document.write( "REASON: 1. Given.
\n" ); document.write( "STATEMENT: 2. Line segments AC & EC are congruent.
\n" ); document.write( "REASON: 2. Given.
\n" ); document.write( "STATEMENT: 3. Line segments BC & DC are congruent.
\n" ); document.write( "REASON: 3. Given.
\n" ); document.write( "STATEMENT: 4. Angles ACB & ECD are congruent.
\n" ); document.write( "REASON: 4. Vertical angles are congruent (Theorem) VERTICALLY OPPOSITE ANGLES ARE EQUAL..THAT IS THE CORRECT STATEMENT.
\n" ); document.write( "STATEMENT: 5. Triangles ABC & EDC are congruent.
\n" ); document.write( "REASON: 5. (SSS are congruent to SSS). If three sides of one triangle are congruent, respectively, to three sides of a second triangle, then the triangles are congruent. (Postualte) ...NO THEOREM IS SAS..2 SIDES AND INCLUDED REPEAT INCLUDED ANGLES ARE EQUAL RESPECTIVELY THE CORRESPONDING SIDES AND INCLUDED ANGLE , THEN THE 2 TRIANGLES ARE CONGRUENT.
\n" ); document.write( "I'm not sure if Step 4 is correct or if I can even write that statement.IT IS OK BUT FOR THE SLIGHT MODIFICATION SUGGESTED.
\n" ); document.write( "REASON 5 IS TO BE CHANGED AS GIVEN .
\n" ); document.write( "Please help.
\n" ); document.write( "Problem #2:
\n" ); document.write( "Prove triangle ADB is congruent to triangle ACE.
\n" ); document.write( "IS IT THE SAME FIGURE AS ABOVE?THEN ACE IS A STRAIGHT LINE.IT IS NOT A TRIANGLE.
\n" ); document.write( "IF NOT GIVE THE FIGURE OR ITS DESCRIPTION TO COMMENT..
\n" ); document.write( " If, I have been given: line segment AD is congruent to line segment AC. And line segment AB is congruent to line segment AE.
\n" ); document.write( "UNLESS YOU CORRECT THE ABOVE THSE DO NOT GIVE ANY IDEA OR MEANING
\n" ); document.write( "I wrote my STATEMENTS & REASONS as follows; does it make sense? if not, how do I approach this problem?:
\n" ); document.write( "STATEMENT: 1. Line segments AD & AC are congruent.
\n" ); document.write( "REASON: 1. Given.
\n" ); document.write( "STATEMENT: 2. The measurement of line segment AD is equal to the measurement of line segment AC.
\n" ); document.write( "REASON: 2. Two line segments are congruent if, and only if, they have the same measure. by Definition.
\n" ); document.write( "STATEMENT: 3. Line segments AB & AE are congruent.
\n" ); document.write( "REASON: 3. Given.
\n" ); document.write( "Now, I'm not sure where to go from here? Do I try to solve it by making all the sides congruent to each other?
\n" ); document.write( "Please help.
\n" ); document.write( "Sincerely, \"nani\"\r
\n" ); document.write( "\n" ); document.write( "
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