Podcast
Questions and Answers
Is the following sentence true? If the exterior sides of a pair of adjacent angles are perpendicular, then the angles are equal.
Is the following sentence true? If the exterior sides of a pair of adjacent angles are perpendicular, then the angles are equal.
- Yes
- No (correct)
- Depends on the exterior sides
- Either A or C
- None of the above
Complementary angles are angles whose measures add up to _____ degrees.
Complementary angles are angles whose measures add up to _____ degrees.
90
The following argument is a(n) _____ deduction: If two angles are supplementary to the same angle, then they are congruent.
The following argument is a(n) _____ deduction: If two angles are supplementary to the same angle, then they are congruent.
valid
The following argument is a(n) _____ deduction: Adjacent angles are angles that have the same vertex, share a common side, and have no interior points in common.
The following argument is a(n) _____ deduction: Adjacent angles are angles that have the same vertex, share a common side, and have no interior points in common.
If l bisects ∠WXZ, m ∠WXY = 4x – 1, and m ∠YXZ = 2x + 15, then find m ∠WXZ.
If l bisects ∠WXZ, m ∠WXY = 4x – 1, and m ∠YXZ = 2x + 15, then find m ∠WXZ.
If l bisects DE at point R, DR = 2y + 9, and RE = 3y – 1, then find DE.
If l bisects DE at point R, DR = 2y + 9, and RE = 3y – 1, then find DE.
Complementary angles _____ equal.
Complementary angles _____ equal.
Pairs of _____ angles are always congruent.
Pairs of _____ angles are always congruent.
The _____ between two points is the length of the line segment joining the points.
The _____ between two points is the length of the line segment joining the points.
A perpendicular bisector is _____ to a line segment and intersects the line segment at its _____.
A perpendicular bisector is _____ to a line segment and intersects the line segment at its _____.
All _____ angles are congruent.
All _____ angles are congruent.
Use the inch ruler below to measure the distance (in inches) between point P and line n.
Use the inch ruler below to measure the distance (in inches) between point P and line n.
Find the measures of the complement and the supplement of angle m ∠ACE = 71.
Find the measures of the complement and the supplement of angle m ∠ACE = 71.
Find the measures of the complement and the supplement of angle m ∠M = x + 45.
Find the measures of the complement and the supplement of angle m ∠M = x + 45.
Find m ∠SRU in the diagram.
Find m ∠SRU in the diagram.
Find m ∠TRU in the diagram.
Find m ∠TRU in the diagram.
Given: Lines AD and XY intersect at point O. Prove: ∠AOX ≌ ∠DOY.
Given: Lines AD and XY intersect at point O. Prove: ∠AOX ≌ ∠DOY.
Given: AAAA ⊥ CCCC; ∠AOX and ∠XOB are adjacent angles. Prove: ∠AOX and ∠XOB are complementary.
Given: AAAA ⊥ CCCC; ∠AOX and ∠XOB are adjacent angles. Prove: ∠AOX and ∠XOB are complementary.
Given: AAAA ⊥ CCCC. Prove: ∠DOB is a right angle.
Given: AAAA ⊥ CCCC. Prove: ∠DOB is a right angle.
Given: ∠M ≌ ∠R and ∠R ≌ ∠Z. Prove: ∠M ≌ ∠Z.
Given: ∠M ≌ ∠R and ∠R ≌ ∠Z. Prove: ∠M ≌ ∠Z.
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Study Notes
###Â Complementary Angles
- Complementary angles add up to 90 degrees.
###Â Adjacent Angles
- Adjacent angles share a common vertex and side, but have no interior points in common.
###Â Angle Bisectors
- An angle bisector cuts an angle into two congruent angles.
###Â Segment Bisectors
- A segment bisector cuts a segment into two congruent segments.
###Â Vertical Angles
- Vertical angles are always congruent.
###Â Perpendicular Bisectors
- A perpendicular bisector is perpendicular to a segment and intersects it at its midpoint.
###Â Distance
- The distance between two points is the length of the segment connecting them.
###Â Complementary and Supplementary Angles
- The complement of an angle is the acute angle that makes 90 degrees with the given angle.
- The supplement of an angle is the angle that makes 180 degrees with the given angle.
###Â Right Angles
- A right angle has a measure of 90 degrees.
- Perpendicular lines intersect to form four right angles.
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