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Mathematics 22 Online
OpenStudy (anonymous):

Geometry Question 1.) Determine for each of the following which of the figures (if any) labeled (1) through (10) can be classified under the given terms: a.) Isosceles triangle b.) Isosceles but not equilateral triangle c.) Equilateral but not isosceles triangle d.) Parallelogram but not a trapezoid e.) A trapezoid but not a parallelogram f.) A rectangle but not a square g.) A square but not a rectangle h.) A square but not a trapezoid i.) A rhombus but not a kite j.) A rhombus k.) A kite

OpenStudy (anonymous):

OpenStudy (nottim):

Loving how little work there is. Maybe help with one question, and you'll figure it out from there?

OpenStudy (anonymous):

Post your answers and I'll check them for you.

OpenStudy (nottim):

That's sounds good.

OpenStudy (anonymous):

ok let me type them really fast

OpenStudy (anonymous):

a.) 1,2 b.) 1 c.) none d.) 3,4,6,7 e.) 5 f.) 7 g.) 6 h.) 6 i.) none j.) 4,6,8

OpenStudy (nottim):

Not sure about a)2 there...

OpenStudy (kinggeorge):

You should also include 10 for d. 2 for a is correct. Equilateral triangles are also isosceles.

OpenStudy (nottim):

ok. im stupid.

OpenStudy (anonymous):

your not stupid Tim, there is just a lot of things to remember

OpenStudy (kinggeorge):

e should have none. All trapezoids have 4 sides.

OpenStudy (kinggeorge):

We all make stupid mistakes at some point or another.

OpenStudy (kinggeorge):

g and h should also have none.

Directrix (directrix):

@Bmar1209 --> In #3 on the .png, what do the ticks mean? Ordinarily, they indicate congruent sides and in this case all 4 sides would be congruent making #4 on the .Png the same question. So, look at .Png #3 and tell me what's up with the tick marks. Thanks.

OpenStudy (kinggeorge):

and j should have 3, 4, 6. That is assuming the diagram for 3 is correct. As directrix said, it appears to be the same shape as number 4.

OpenStudy (kinggeorge):

8 is not a rhombus because not all sides are the same length.

OpenStudy (kinggeorge):

What were your answers for k?

OpenStudy (anonymous):

i just had 8 for now

OpenStudy (anonymous):

@directrix to my knowledge it meant congruent, but it definitely doesn't look that way

OpenStudy (kinggeorge):

8 is definitely a kite, but there are at least three others in your list (4 if number 3 actually has congruent sides). Can you take a guess as to what some of the others are.

OpenStudy (anonymous):

so why wouldn't e.) be 5?

OpenStudy (kinggeorge):

My bad. It would be 5. I read "but not a quadrilateral."

OpenStudy (anonymous):

ok, thanks for k.) could it be 4, 6, 8, 10 ??

Directrix (directrix):

In Geometry, we do not "eyeball quantitativ"e properties of figures. I was wondering if the ticks meant something else in your text. I am about to compare my answers with yours. This question is poorly written by its author. That is the primary reason it is so confusing. A phrase such as "a square but not a rectangle" crazes a person who knows that every square IS a rectangle.

OpenStudy (anonymous):

I agree directrix, I took this straight from the book, picture is also straight from the book

OpenStudy (kinggeorge):

You're very close bmar. However, 10 is not a kite since AD\(\neq\)CD. There's one more you're missing.

OpenStudy (anonymous):

your right! oops, I am going to say 4, 6, 8, 9

OpenStudy (kinggeorge):

Correct!

OpenStudy (anonymous):

lol, thanks!

OpenStudy (anonymous):

ok so you think g.) and h.) should be none ad j.) should be 3,4,6 ?

OpenStudy (kinggeorge):

for g and h, all squares are trapezoids and rectangles (I can offer a more detailed explanation of why if you want), and j should be 3, 4, 6 because those are the only quadrilaterals marked with equal side lengths.

OpenStudy (anonymous):

you can, I'm sure anything would be more helpful then the book I have. It's an online course so trust me it isn't fun

Directrix (directrix):

Attempting to think like the person who wrote the questions: Working list of answers. Figure # 1. A, B 2. C 3. D 4. D, I 5. E 6. H 7. F 8. K 9. K 10. Unnamed in list

OpenStudy (kinggeorge):

Those are never too fun. Anyways, to be a rectangle, the shape need to be a quadrilateral with 4 right angles. A square is a rectangle where all the sides are of equal length. To be a trapezoid, a shape needs to be a quadrilateral, and a pair of opposite sides need to be parallel. A square is a trapezoid with both pairs of sides parallel and equal side lengths.

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