One way to show that a statement is not a good definition is to find a counterexample. Explanation; A counterexample is a special type of example that disproves a statement or proposition. Conditional Statement is a logical statement that has a hypothesis and a conclusion and for it to be true, it must always be true.

Answer Expert Verified. 1) The fourth statement is not a good definition. Because it is not sufficient that the ray splits the angle into two angles, it is necessary that the two angles are equal.

Biconditional Statements. and Definitions. When you combine a conditional statement and its converse, you create a biconditional statement. A biconditional statement is a statement that can be written in the form “p if and only if q.” This means “if p, then q” and “if q, then p.”

Is the statement a good definition? If not, find a counterexample. A square is a figure with two pairs of parallel sides and four right angles. The statement is a good definition.

When a conditional statement and its converse are true. IF a figure is a triangle, THEN it has three sides. IF a figure has three sides, THEN it is a triangle.

YES! A polygon has 3 sides if and only if it is a triangle. Put it all together: Conditional: If a polygon is a triangle, then it has three sides.

triangle

A polygon is a closed figure with straight edges. The most common polygons are pentagon, hexagon, and octagon. These are pentagons. A pentagon has 5 angles, 5 sides and 5 vertices.

henagon monogon

icosagon

hexacontagon

triacontadigon

tetracontagon