Several triangles are shown below with congruent sides, congruent angles and right angles shown. NEED HELP PLEASE!!! I WILL GIVE YOU A MEDAL IF YOU ANSWER.

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Several triangles are shown below with congruent sides, congruent angles and right angles shown. NEED HELP PLEASE!!! I WILL GIVE YOU A MEDAL IF YOU ANSWER.

Mathematics
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What is a scalene triangle?
A triangle that are unequal.

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Other answers:

kind of like this
Yes, all sides have different lengths.
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I think you can only conclude two sides are congruent if the figure shows it, right? For example in triangle ABC, we are shown that sides AB and BC are congruent.
In triangle FED, we don't know that any sides are congruent.
I got for A. QRT DEF, and GHI
so it would only be QRT?
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We only know about sides being congruent in the three triangles on the left. That means the three triangles on the right are scalene.
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(a) Triangles FED, JKL, and QRT
ok thanks
Ok. Now isosceles. What is an isosceles triangle?
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Can you explain it in words? What do you know about lengths of sides in an isosceles triangle?
Umm, its kind of elongated in a way.
Specifically, an isosceles triangle is a triangle that has at least two congruent sides.
Examples of isosceles triangle. In each case, at least two sides are congruent. |dw:1435628860898:dw|
If all sides are congruent, then it's a special case of an isosceles triangle that is also equilateral.
Now look in the figure of your problem. Which triangles have at least two congruent sides?
GHI, AND ABC
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Also MNP
(b) Triangles ABC, GHI, MNP
But its right? how does it have same sides?
You mean MNP?
yes
The figure with your problem shows little marks on the sides of triangle MNP . Those marks mean that those sides are congruent.
oh ok thanks
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Ok, next is (c). Which triangles are right triangles? A right triangle has one right angle.
MNP AND DEF?
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Correct. (c) Triangles EDF and MNP
Now (d), equilateral triangles. An equilateral has all three sides congruent.
ABC, JKL
In triangle ABC, we only know sides AB and BC are congruent. That makes the triangle isosceles. To be equilateral, you need all sides congruent. The sides of triangle JKL have no marks on them at all. We don't know what their lengths are and if they are the same or different. Therefore, we cannot make any conclusions about the sides being congruent. Look at triangle GHI. The 2 marks on each side mean that all sides are congruent. Triangle GHI is equilateral.
(d) Triangle GHI
is there a difference betwen the lines on ABC and GHI
?
In ABC, two sides have 1 mark each. That means those two sides are congruent. In GHI, each side has two marks each. That means all three sides are congruent, but different from the sides in ABC.
aww ok
On the other hand, since sides AB and BD have one mark each, and sides MN and NP also have one mark each, that means all 4 of those sides are congruent.
Finally, we get to (e). Do you know what an obtuse triangle is?
(Hint: think of a right triangle, but substitute obtuse for right.)
yes it means that it's greater then 90 degrees.
than
Right triangle: \(\sf A ~\color{red}{right} ~triangle ~has ~one ~\color{red}{right} ~angle.\) Obtuse triangle: \(\sf A \color{green}{n~obtuse} ~triangle ~has ~one ~\color{green}{obtuse} ~angle.\)
Correct. Which triangles have one angle of more than 90 degrees?
QRT
Correct, but I think that JKL also has an obtuse angle. |dw:1435630158625:dw|
(e) Triangles JKL and QRT
oh ok
Thank you so much for all the help I needed it!
You are welcome.

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