Question

Which statement best explains why Ben uses the width bi to create the arc jk from point e

Answer 1

In your question where Ben uses a compass and straight edge to construct angle DEF equals to angle ABC as shown in the diagram. In my calculation the possible answer to the following questions is angle DEF is equals to angle ABC when JK is constructed equals to HI.
 

Answer 2

Question: Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below:

Which statement best explains why Ben uses the width BI to create the arc JK from point E?

A.  ∠DEF ≅ ∠ABC when BH = EK, BI = JK, and HI = EJ.

B.  BI = JK when ∠DEF ≅ ∠ABC.

C.  BI = EJ when ∠DEF ≅ ∠ABC.

D.  ∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

The statement Ben explains why Ben uses the width BI to create the arc JK from point E is  ∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

The correct option is (D).

What is Congruence?

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Ben ensuring that for making an arc JK,

• BH = EJ
• BI = EK
• HI = JK

These are the three congruent corresponding sides for making an arc.

then, he will use the congruence criteria to ΔDEF ≅ ΔABC.

Lastly, by using the property of CPCTC (corresponding parts of congruent triangles are congruent) he can prove ∠DEF ≅ ∠ABC.

Learn more about Congruence here:

brainly.com/question/7888063

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