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.
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.
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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.
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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.
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Complementary angles _____ equal.
Complementary angles _____ equal.
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Pairs of _____ angles are always congruent.
Pairs of _____ angles are always congruent.
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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.
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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 _____.
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All _____ angles are congruent.
All _____ angles are congruent.
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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.
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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.
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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.
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Find m ∠ SRU in the diagram.
Find m ∠ SRU in the diagram.
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Find m ∠ TRU in the diagram.
Find m ∠ TRU in the diagram.
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Given: Lines AD and XY intersect at point O. Prove: ∠ AOX ≌ ∠ DOY.
Given: Lines AD and XY intersect at point O. Prove: ∠ AOX ≌ ∠ DOY.
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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.
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Given: AAAA ⊥ CCCC. Prove: ∠ DOB is a right angle.
Given: AAAA ⊥ CCCC. Prove: ∠ DOB is a right angle.
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Given: ∠ M ≌ ∠ R and ∠ R ≌ ∠ Z. Prove: ∠ M ≌ ∠ Z.
Given: ∠ M ≌ ∠ R and ∠ R ≌ ∠ Z. Prove: ∠ M ≌ ∠ Z.
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Study Notes
### Complementary Angles
- Complementary angles add up to 90 degrees.
### Adjacent Angles
- Adjacent angles share a common vertex and side, but have no interior points in common.
### Angle Bisectors
- An angle bisector cuts an angle into two congruent angles.
### Segment Bisectors
- A segment bisector cuts a segment into two congruent segments.
### Vertical Angles
- Vertical angles are always congruent.
### Perpendicular Bisectors
- A perpendicular bisector is perpendicular to a segment and intersects it at its midpoint.
### Distance
- The distance between two points is the length of the segment connecting them.
### 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.
### Right Angles
- A right angle has a measure of 90 degrees.
- Perpendicular lines intersect to form four right angles.
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Description
This quiz explores various types of angles and their properties, including complementary, adjacent, vertical, and bisectors. Test your knowledge on key geometric concepts and definitions essential for understanding angles in geometry.
