Review of Reasoning and Proof

3. Which reason justifies the statement that angle DAB is 100 degrees? 1) Angle DAB and angle EAD are supplementary. 2) Angle DAB and angle EAD are complementary. 3) Angle DAB is congruent to angle EAD. 4) Angle DAB is perpendicular to angle EAD.

1) Angle DAB and angle EAD are supplementary

2. Write the following reversible statement as a biconditional: If two perpendicular lines intersect, they form four 90 degree angles. 1) Two intersecting lines are perpendicular if and only if they form four 90 degree angles. 2) Two intersecting, perpendicular lines do not form four angles. 3) Four 90 degree angles are formed by intersecting lines. 4) Perpendicular lines do not intersect.

1) Two intersecting lines are perpendicular if and only if they form four 90 degree angles.

4. Use the Verticla Angle theorem to name a pair of congruent angles in the image shown. 1) Angle FBC; angle CBX 2) Angle FBC; angle GBX 3) Angle FBY; angle GBX 4) Angle FBY; angle MBG

3) Angle FBY; angle GBX

1. What is the inverse of the following statement? If it is raining, then I will carry an umbrella. 1) If I carry an umbrella, then it is raining. 2) If I do not carry an umbrella, then it is not raining. 3) If it is not raining, then I will not carry an umbrella. 4) I will carry an umbrella if and only if it is raining.

3) If it is not raining, then I will not carry an umbrella.