Question

FInd each error and make the corrections

Answer 1

Exercise 1

1) Δ ABC ≅ Δ EDC

From the figure:

a)
`m\angle ABC\cong m\angle EDC` [Given]

b)
`BC=DC` [Given]

c)
`m\angle BCA\cong m\angle DCE` [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)
`m\angle WXY\cong m\angle ACB` [Given]

b)
`XY=CB` [Given]

c)
`m\angle XYW\cong m\angle ABC` [Given]

∴ Δ WXY ≅ Δ ACB [A.S.A postulate]

2) The triangles are congruent by A.S.A postulate.