Converse of the Angle Bisector Conjecture

Geometry doesn’t come easily for Grace. It’s a given that she’s brilliant, she’s in the Gifted and Talented Program in our homeschool, P.J. Academy, but it can be downright challenging for this child of mine to grasp different tools and use them for solving problems.

She can hardly handle a pencil, let alone a compass,  a straight-edge, “why can’t we just call it a ruler?!?!?!?!” and a protractor.

Today her challenge came with the following question from her textbook:

“In this lesson you discovered the Angle Bisector Conjecture. Write the converse of the Angle Bisector Conjecture. Do you think it’s true? Why or why not?”

The first challenge came when she tried to remember what this conjecture stated. Of course, she was supposed to have this term neatly penned in her Geometry notebook and firmly embedded in her brain. Instead, she thumbed through the book until she found the definition and mumbled it back to me. Urging her to try to grasp the concept, I made her repeat the definition.

“Pretend you’re the teacher. You learn it, then you teach it to me,” I brilliantly challenged. This time she was able to illustrate and explain this geometric concept.

“OK, now, what is the converse of this conjecture?

Blank stares accompanied by giggles and fidgets shouted volumes to me.

Backing up my track, I asked, “Grace, what is converse?”

Meekly, she speculated, “A type of shoes?”

“What?” I was flabbergasted. (Doesn’t that sound like the right adjective to put here?)

“A cool type of shoes? They’re really, really cool shoes.”

I’m either going to have to buy her a dictionary, Geometry for Dummies, or a new pair of tennis shoes, preferably Converse.

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4 Responses to Converse of the Angle Bisector Conjecture

  1. Anonymous October 19, 2009 at 3:27 pm #

    lol,i'm doing my geometry hw right now and i'm on this exact problem

  2. Anonymous September 22, 2010 at 12:00 am #

    lol im doing this right now lol u have the same book as me =P i still dont get the question lmao

  3. Anonymous November 13, 2010 at 10:26 pm #

    Haha!! Thats the same question from the same book that im trying to figure out. Help?!

  4. Anonymous January 16, 2013 at 5:24 am #

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