Question

Read the statements shown below.

If a closed figure has three line segments joined end to end, it is a triangle.
If two sides of a triangle are congruent, it is an isosceles triangle.
Betty constructed a triangle in the geometry class.

Based on the given statements, which is a valid argument?

It can be concluded that Betty drew an isosceles triangle.

It can be concluded that Betty drew a rectangle.

It cannot be concluded that Betty drew a triangle with two sides congruent.

It cannot be concluded that Betty drew a figure with three line segments joined end to end

Answer 1

@ash2326

Answer 2

Only that it cannot be concluded that she drew a triangle with two congruent sides. We know she drew a triangle, but it does not specify if the triangle is isosceles or not. However, because of the definition of a triangle as three connected line segments, we know she drew a triangle. Hope this helps.

Answer 3

Thanks, it does :)

Answer 4

It cannot be concluded that Betty drew a figure with three line segments joined end to end. <---incorrect.