Answer:
Exercise 1
1) Δ ABC ≅ Δ EDC
From the figure:
a) [tex]m\angle ABC\cong m\angle EDC[/tex] [Given]
b) [tex]BC=DC[/tex] [Given]
c) [tex]m\angle BCA\cong m\angle DCE[/tex] [Vertical angles are congruent]
∴ Δ ABC ≅ Δ EDC [A.S.A postulate]
2) The triangles are congruent by A.S.A postulate.
Exercise 2
1) Δ WXY ≅ Δ ACB
From the figure:
a) [tex]m\angle WXY\cong m\angle ACB[/tex] [Given]
b) [tex]XY=CB[/tex] [Given]
c) [tex]m\angle XYW\cong m\angle ABC[/tex] [Given]
∴ Δ WXY ≅ Δ ACB [A.S.A postulate]
2) The triangles are congruent by A.S.A postulate.
