Drawing Conclusions in Honors Geometry

What is the measure of angle DFE if BF is perpendicular to DF?

• 45 degrees

• 90 degrees

• 18 degrees

• 72 degrees

What is the measure of angle BFA if BF is perpendicular to DF?

• 72 degrees

• 90 degrees

• 45 degrees

• 18 degrees

What is the first step in solving the system of equations for the given angles?

• Divide both equations by 2

• Subtract the equations

• Multiply the top equation by -2

• Add the equations together

If AB bisects angle CAD, what can we conclude about angles CAB and DAB?

• They are complementary

• They are right angles

• They are supplementary

• They are congruent

What is the definition of a right angle?

• An angle that measures 45 degrees

• An angle that measures 90 degrees

• An angle that measures 180 degrees

• An angle that measures 60 degrees

If DBA is a right angle, what can we conclude about ray BD and ray BA?

• They are perpendicular

• They are congruent

• They are parallel

• They are complementary

What can we conclude if R is the midpoint of segment QS?

• QR is longer than RS

• QR is shorter than RS

• QR is perpendicular to RS

• QR is congruent to RS

What does trisecting an angle result in?

• Two congruent angles

• Five congruent angles

• Three congruent angles

• Four congruent angles

If GD and GE trisect angle AGH, what can we conclude about angles AGD, DGE, and EGH?

• They are complementary

• They are supplementary

• They are congruent

• They are right angles

What is the definition of a midpoint?

• A point that divides an angle into three congruent angles

• A point that divides a segment into two congruent segments

• A point that divides a segment into three congruent segments

• A point that divides an angle into two congruent angles