Geometry Conditional Statements Reasoning and Postulates

A straight mark with arrow heads. Have infinite length but no width and thickness.

• line

• plane

• point

• none of these

Which congruence postulate tells us that if the two sides and an included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the two triangles are congruent?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

Which congruence postulate tells us that if the two angles and an included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the two triangles are congruent?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle. Identify the inverse of this conditional statement:

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the converse of this statement?

• inverse

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• contrapositive

• If a polygon is a trapezoid, then it is a quadrilateral.

• converse

• If a polygon is not a quadrilateral, then it is not a trapezoid.

What is a conditional statement that can be formed this diagram?

• If angles are linear pairs, then they are supplementary

• If angles are supplementary, then they are linear pairs

• If supplementary angles are linear pairs, then their are two angles

• If angles are not linear pairs, then they can be supplementary.

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the contrapositive of this conditional statement:

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

Which congruence postulate tells us that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

• 80⁰

• 100⁰

• 120⁰

• 150⁰