Question

Read the statements shown below.

If a polygon has three sides, it is a triangle.
If an angle of a triangle measures 90° it is a right triangle.
Beth constructed a triangle in the geometry class.

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

It can be concluded that Beth drew a scalene triangle.

It can be concluded that Beth drew a right triangle.

It cannot be concluded that Beth drew a polygon with three sides.

It cannot be concluded that Beth drew a triangle with an angle measure of 90°.

Answer 1

Based on the given statements, the valid argument is that D. It cannot be concluded that Beth drew a triangle with an angle measure of 90°.
We known that she drew a triangle, but we don't know what triangle - so A and B are incorrect. Also C, because we know that she drew a polygon, because a triangle is a polygon.