Fill in any missing statements or reasons. 1. Given: AB DE, BEZE, and ZA ZD B D
Answer:
To fill in the missing statements and reasons, let's analyze the given information:
1. Given: AB DE
Reason: This statement indicates that line AB is congruent to line DE. (Reason: Given)
2. Given: BEZE
Missing Statement: BE = EZ
Reason: This statement implies that line segment BE is congruent to line segment EZ. (Reason: Definition of congruent line segments)
3. Given: ZA ZD B D
Missing Statement: ∠ZAB ≅ ∠ZDE
Reason: This statement indicates that angle ZAB is congruent to angle ZDE. (Reason: Given)
So, the missing statements and reasons are:
2. Missing Statement: BE = EZ
Reason: Definition of congruent line segments
3. Missing Statement: ∠ZAB ≅ ∠ZDE
Reason: Given