Alright, I confess: I love math. I think since becoming a math teacher I'm an ever bigger dork.
This is a six question geometry quiz that we took today in my academy. I was the only one in my class that got the quiz entirely correct...Can you do it??? Read carefully and think! This isn't a brain teaser (or puzzle...Adam...), but it is tricky if you don't think each question through.
If you check the comment page, I will leave a hint (if you want one). This is a quiz intended to be given to an honors high school geometry class. Only 1 out of 25 math teachers, however, were able to complete it.
Your Directions: Tell which statements are true (that you agree with).
1) A rhombus is a square.
2) A square is both a rectangle and a rhombus.
3) A kite is a parallelogram.
4) Diagonals of all parallelograms bisect each other.
5) Diagonals are only congruent in a rectangle.
6) Diagonals always bisect each other in any rhombus or kite.
So, which are true???
~Mikey D
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7 comments:
*** HINT ***
Of the six statements, three are correct.
1: False. A square is rhombus, but not every rhombus is a square.
2: True
3: I need clarification. I've seen kite's in all shapes in sizes, and some of them were clearly not parallelograms. Or by kite do you mean the "diamond-shaped" kite? If it's a diamond, I say true I guess.
4: True
5: False. Because I already have 3 trues.
6: False. I forgot the defintions of most of these terms.
Man, it's been a loooong time since geometry class...
Haha, that's the way I've felt this entire past week.
A kite, by definition, is a quadrilateral with two pairs of adjacent sides that are congruent.
And the kite could be a "diamond-shaped" kite or a deltoid (concave)! As long as you can think of one example that disproves the statement.
***
2 and 4 are correct. One more, and it has to do more with semantics and logic than math...
I didn't know that a kite was a mathematical shape. So then yeah, 3 is false.
6 is also false then, because the diagonals of a kite would not bisect each other.
But I say 5 is also false. Diagonals are congruent in several other shapes than rectangles. Such as an equilateral pentagon. (the diagonals form a star)
The "or" in #6 is giving me trouble now. Is 6 true because the "or" always lets you choose the rhombus?
I originally said 2, 3, 4, and 6 were correct. Once I saw the hint, I said 2, 3, and 4 are correct.
So what's the correct answer?
2, 4, and 6 are correct.
Kevin, you were right on about #6. The diagonals in a rhombus always bisect each other, while in a kite they do not. Since it is an "or" statement, only one out of the two have to be true.
Adam, 3 is incorrect because in a kite adjacent sides have to be congruent, and not all parallelograms have adjacent sides congruent, so it is false.
Like I said, this was for an honor's geometry class, and since you guys haven't seen the stuff in years, I'd say you did pretty well!
Good stuff.
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