Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.

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 Poin class=

Sagot :

Answer: Choice D

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

======================================================

Explanation:

Effectively what Ben is doing is ensuring that

  • BH = EJ
  • BI = EK
  • HI = JK

are the three congruent corresponding sides. This is by construction. After those constructions, he would use SSS to prove the triangles congruent. Lastly, he can then say angle DEF is congruent to angle ABC due to CPCTC.

CPCTC = corresponding parts of congruent triangles are congruent.

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.