Math  /  Geometry

QuestionDirections: Fill in the blanks to identify the following definition of terms. Choose the answers from the box on the right. 1.) \qquad angles are nonadjacent angles formed by two intersecting lines. 2.) Two lines are \qquad if they lie in the same plane and do not intersect. 3.) Two angles are \qquad if they have the same measure. 4.) \qquad angles are two coplanar angles that have a common side and a common vertex but no common interior points. 5.) Two angles form a \qquad if they are adjacent angles and their uncommon sides are opposite rays. 6.) Two angles are \qquad if the sum of their measures is 180. 7.) Two lines are \qquad if they intersect and form right angles. 8.) Two angles are \qquad if the sum of their measures is 90. 9.) Two lines are \qquad if they are coplanar and they meet at a common point. 10.) If two rays have the same endpoint but do not lie on the same line, then their union is an \qquad -

Studdy Solution

STEP 1

1. We need to fill in the blanks with the appropriate geometric terms.
2. The terms to choose from include common geometry vocabulary related to angles and lines.
3. Each term should clearly match the definition provided in the question.

STEP 2

1. Identify the term for nonadjacent angles formed by two intersecting lines.
2. Identify the term for two lines that lie in the same plane and do not intersect.
3. Identify the term for two angles that have the same measure.
4. Identify the term for two coplanar angles with a common side and vertex but no common interior points.
5. Identify the term for two adjacent angles whose uncommon sides are opposite rays.
6. Identify the term for two angles whose measures sum to 180 degrees.
7. Identify the term for two lines that intersect and form right angles.
8. Identify the term for two angles whose measures sum to 90 degrees.
9. Identify the term for two lines that are coplanar and meet at a common point.
10. Identify the term for the union of two rays that have the same endpoint but do not lie on the same line.

STEP 3

Identify the term for nonadjacent angles formed by two intersecting lines.
The term is "vertical" angles. \text{The term is "vertical" angles.}

STEP 4

Identify the term for two lines that lie in the same plane and do not intersect.
The term is "parallel". \text{The term is "parallel".}

STEP 5

Identify the term for two angles that have the same measure.
The term is "congruent". \text{The term is "congruent".}

STEP 6

Identify the term for two coplanar angles with a common side and vertex but no common interior points.
The term is "adjacent". \text{The term is "adjacent".}

STEP 7

Identify the term for two adjacent angles whose uncommon sides are opposite rays.
The term is "linear pair". \text{The term is "linear pair".}

STEP 8

Identify the term for two angles whose measures sum to 180 degrees.
The term is "supplementary". \text{The term is "supplementary".}

STEP 9

Identify the term for two lines that intersect and form right angles.
The term is "perpendicular". \text{The term is "perpendicular".}

STEP 10

Identify the term for two angles whose measures sum to 90 degrees.
The term is "complementary". \text{The term is "complementary".}

STEP 11

Identify the term for two lines that are coplanar and meet at a common point.
The term is "intersecting". \text{The term is "intersecting".}

STEP 12

0 Identify the term for the union of two rays that have the same endpoint but do not lie on the same line.
The term is "angle". \text{The term is "angle".}
Solution:
1. Vertical
2. Parallel
3. Congruent
4. Adjacent
5. Linear pair
6. Supplementary
7. Perpendicular
8. Complementary
9. Intersecting
10. Angle

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