Question

In the figure below, XZ =DF and _X = D.

JA
X
F
Which additional information would be enough to prove
that AXYZ ADEF?
1.XY =YZ
2.YZ = ED
3.YZ DE
4:XY = DE

Answer 1

Option (4)

Explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements Reasons

1). XZ ≅ DF 1). Given

2). ∠X ≅ ∠ D 2). Given

3). XY ≅ DE 3). Required information

4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence

Therefore, Option (4) will be the answer.