Question

Marie drew the triangle shown. She wants to draw a second triangle that is different from this one. Use the drop-down menus below to complete the statements about the second triangle.

Answer 1

here are the answers!

Explanation:

right here!

Answer 2

Here is the complete question.

Marie drew the triangle shown. She wants to draw a second triangle that is different from this one.

It is ____for Marie to draw a second triangle with different angle measures and the same side lengths.

It is____for Marie to draw a second triangle with different side lengths and the same angle measures.

Choices are Impossible and Possible.

"It is impossible for Marie to draw a second triangle with different angle measures and the same side lengths.

It is possible for Marie to draw a second triangle with different side lengths and the same angle measures."

Explanation:

⇒As the triangle attached is having equal side lengths so its an equilateral triangle which is having
`60` degrees for all all of its angles.

And according to angle sum property of a triangle we know that,summation of all angle measures
`180\ (deg)`.

Here in this equilateral triangle we can't change the measure of any of its sides as equally because,lets assign
`x` to any of its angles then
`x+x+x=180,3x=180,x=(180)/(3)=60` algebraically it is impossible so as geometrically.

⇒Second one is just the vice versa of the above where the angles can't be changed but the side lengths can be.

So,

It is impossible for Marie to draw a second triangle with different angle measures and the same side lengths.

It is possible Marie to draw a second triangle with different side lengths and the same angle measures.