Geometric Properties Used in Writing Proof

If ∠P and ∠Q are complementary angles, then

• m∠P + m∠Q = 90 degrees

• ∠P and ∠Q are congruent

• m∠P + m∠Q = 180 degrees

• m∠P and m∠Q are equal

What definition supports the conclusion in question number 1?

• Definition of Congruent Angles

• Definition of Complementary Angles

• Definition of Supplementary Angles

• Definition of Equal Angles

What theorem states that in triangle ABC, m∠A + m∠B + m∠C = 180 degrees?

• Interior Angles Theorem

• Exterior Angles Theorem

• Sum of the measures of the angles of a triangle theorem

• Triangle Theorem

If E is the midpoint of line segment TN, then ________________.

• Line segment TE is congruent to Line segment EN

• The Sum of the measures of line segment TE is equal to the measure of line segment TN.

What definition states that if O is the midpoint of MN, then MO is congruent to ON?

• Definition of congruent segments

• Definition of Angle Bisector

• Definition of Midpoint

• Definition of Betweenness

In writing proof, the first statement should always be the ___________.

• Hypothesis

• Conclusion

• Given

It divides an angle into two congruent angles.

• Segment Bisector

• Angle Bisector

• Midpoint

• Ray

It states that if two angles form a linear pair, then they are supplementary.

• The supplement postulate

• Definition of Linear Pair

• Definition of Supplementary Angles

What is the sum of the measures of the angles of a convex quadrilateral?

• 360

• 180

• 520

• 720

If two parallel lines are cut by a transversal, then corresponding angles are congruent. This is according to what postulate?

• PAIC Postulate

• PCAC Postulate

• PAEC Postulate

• PSSIAS Postulate