Section 1.5 Angle Relationships

1. What are adjacent angles?

Adjacent angles share a vertex but have different sides.

Share a vertex and oneside with no common interior points.

Adjacent angles share a side but have different vertices.

Adjacent angles do not share any common points.

Adjacent angles are angles that are next to each other and share a common vertex and one side without overlapping.

Explanation

Adjacent angles are angles that are next to each other and share a common vertex and one side without overlapping.

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2. What are vertical angles?

Angles that are adjacent to each other

Angles with a slope of 90 degrees

Two nonadjacentangles formed by intersecting lines. These are always congruent.

Angles that add up to 180 degrees

Vertical angles are formed when two lines intersect, creating two pairs of opposite angles that are congruent.

Explanation

Vertical angles are formed when two lines intersect, creating two pairs of opposite angles that are congruent.

3. What are linear pairs?

Angles that are opposite to each other.

Angles that are perpendicular to each other.

Two adjacent angles whosenon-shared sides form a line. These always have a sum of 180 degrees.

Angles that are right next to each other.

Linear pairs refer to two adjacent angles whose non-shared sides form a line, always summing up to 180 degrees.

Explanation

Linear pairs refer to two adjacent angles whose non-shared sides form a line, always summing up to 180 degrees.

4. What are complementary angles?

Two angles whose sum is 180 degrees.

Two angles whose product is 90 degrees.

Two angles whose difference is 90 degrees.

Two angles whose sum is 90 degrees.(they do not need to be adjacent angles, but they can be.)

Complementary angles are a pair of angles that add up to 90 degrees. Therefore, the correct answer is 'two angles whose sum is 90 degrees.' Any other statement does not accurately describe complementary angles.

Explanation

5. What are supplementary angles?

Two angles whose sum is 90 degrees.

Two angles whose sum is 180 degrees. (they do not need to be adjacent angles, but they can be.)

Two angles whose sum is 360 degrees.

Two angles whose sum is 270 degrees.

Supplementary angles are two angles whose sum is 180 degrees, allowing them to form a straight line when combined.

Explanation

Supplementary angles are two angles whose sum is 180 degrees, allowing them to form a straight line when combined.

6. What are perpendicular lines?

Lines that intersect toform right angles.The symbol for perpendicular is: example: says that line AB is perpendicular to line XY

Lines that intersect to form acute angles.

Lines that are parallel to each other.

Lines that are skew to each other.

Perpendicular lines are two lines that meet at a right angle (90 degrees). This means they form an 'L' shape where they intersect. The symbol used to denote perpendicular lines is a square box with a horizontal line through it.

Explanation

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