2.2.6 Angle Pair-adise - Part 1

Draw

Bisect $$\angle ADB$$ with $$\overrightarrow{DE}$$ on the following diagram.

Match

Match the angle with the correct angle type.

• $$\angle BDC$$

• $$\angle ADE$$

• $$\angle ADC$$

• $$\angle EDC$$

Right Angle

Acute Angle

Straight Angle

Obtuse Angle

• Right Angle

• Acute Angle

• Straight Angle

• Obtuse Angle

Multiple Choice

Which of the following best describes adjacent angles?

• Angles that are next to each other and share a common segment or ray

• Angles that add up to 90°

• Angles that are opposite each other

• Angles that are always equal

Multiple Choice

Which pair of angles are adjacent in the given figure?

• ∠AHB and ∠BHC

• ∠ABH and ∠GHF

• ∠EHF and ∠AHG

• ∠BHC and ∠DHE

Multiple Select

Which of the following statements about complementary angles are true?

• They add up to 90°

• They can be adjacent

• They must always be adjacent

• They can be non-adjacent

Open Ended

How did you arrive at the answer for the measure of ∠CAT if m∠DOG = 27° and the angles are complementary?

Multiple Choice

Which of the following statements about supplementary angles is correct?

• Supplementary angles add up to 180°.

• Supplementary angles add up to 90°.

• Supplementary angles are always adjacent.

• Supplementary angles are always congruent.

Multiple Select

Which of the following statements about vertical angles is/are correct?

• Vertical angles are opposite angles formed by the intersection of two lines.

• Vertical angles are always congruent.

• Vertical angles are always supplementary.

• Vertical angles are adjacent angles.

Multiple Choice

What is the measure of ∠PQR

• 60°

• 120°

• 30°

• 180°

Multiple Choice

Which of the following statements is false?

• Vertical angles can be complementary.

• Supplementary angles can be adjacent.

• Adjacent angles can be complementary.

• Complementary angles can be supplementary.

Multiple Choice

What type of angle relationship is represented by the two roads?

• Adjacent

• Vertical

• Complementary

• Supplementary

Multiple Choice

Which of the following is a true statement about adjacent angles?

• Adjacent angles always add up to 90 degrees.

• Adjacent angles are always congruent.

• Adjacent angles always share a common ray, line, or segment.

• Adjacent angles always add up to 180 degrees.

Match

Match the definition with the vocabulary term.

• Two angles that add up to 180 degrees

• Two angles that are opposite each other in an intersection and are congruent.

• Two angles that add up to 90 degrees

• Two angles that share a common line, ray, or line segment

Supplementary Angles

Vertical Angles

Complementary Angles

Adjacent Angles

• Supplementary Angles

• Vertical Angles

• Complementary Angles

• Adjacent Angles

Draw

Sketch a pair of angles that are both adjacent and supplementary. Include angle measurements.