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5 votes
The figure below shows ADC and BEC.

Complete the two-column proof.

BE AC and AD CB

CB ≅ CA

Prove:

ADC ≅ BEC

Statement Reason
BE
a0 and AD CB
CB ≅
a1 Given

a2 and BEC are right angles Perpendicular lines form
a3 angles

a4 =
a5
a6 Property
ADC ≅
a7
a8 Postulate

The figure below shows ADC and BEC. Complete the two-column proof. BE AC and AD CB-example-1

2 Answers

4 votes

Answer:

Explanation:

And required prove is

and ( given)

And, (given)

and are right angle triangle.( perpendicular lines form 90° angle)

So,

( Common angle property )

( ASA postulate)

User Simonwo
by
7.5k points
3 votes

Answer: We can fill the columns with help of below explanation.

Explanation: Here, we have a figure in which we have two triangles ADC and BEC.

And required prove is
\triangle ADC\cong\triangle BEC


BE\perp ACand
AD\perp CB ( given)

And,
CB\cong CA(given)


\angle ADC
and
\angle BEC are right angle triangle.( perpendicular lines form 90° angle)

So,
\angle ADC \cong \angle BEC


\angle ACD=\angle BCE ( Common angle property )


\triangle ADC\cong\triangle BEC ( ASA postulate)




The figure below shows ADC and BEC. Complete the two-column proof. BE AC and AD CB-example-1
User Tsewang
by
7.5k points