Question

Match the following items.

Answer 1

Answer:

I just did this lesson; this answers are right.

1: Given                  1: ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE

2: BD = DE         2: Definition of midpoint

3: BC = BD        3: Substitution

4: Triangle ABD congruent to Triangle EBC 4: ASA

5: ∠A = ∠E                                                               5:  CPCTE  

 

           

Step-by-step explanation:

Answer 2

Answer:

1. Given

2. Definition of midpoint

3. Substitution

4. ASA

5. CPCTE

Step-by-step explanation:

1. ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE is given (given).

2. BD = DE, because D is midpoint of BE (definition of midpoint).

3. BC = BD, because you are given that BC = DE and DE = BD, then substitute instead of DE into the first equation segment BD to get BC = BD (substitution).

4. ΔABD≅ΔEBC, because

• BD ≅ BC;
• ∠1≅∠2;
• ∠3≅∠4,

then by ASA theorem ΔABD≅ΔEBC (ASA theorem).

4. Congruent triangles have congruent corresponding parts, then ∠A≅∠E (CPCTE).