1.
A ___________ is a line that intersects two or more coplanar lines at different points.
Correct Answer
C. Transversal
Explanation
A transversal is a line that intersects two or more coplanar lines at different points. It forms eight different angles with the intersected lines, including corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. Transversals are commonly used in geometry to study the relationships between angles formed by intersecting lines.
2.
Which postulateIf there is a line and a point no on the line, then there is exactly one line through the point parallel to the given line.
Correct Answer
A. Parallel Postulate
Explanation
The given statement describes the Parallel Postulate. It states that if there is a line and a point not on the line, then there is exactly one line through the point that is parallel to the given line. This postulate is a fundamental concept in Euclidean geometry and helps define the properties of parallel lines.
3.
Two angles are ___________ if they lie outside the two lines on opposite sides of the transversal.
Correct Answer
C. Alternate exterior angles
Explanation
Alternate exterior angles are angles that lie outside the two lines on opposite sides of the transversal. When a transversal intersects two parallel lines, the alternate exterior angles are congruent. These angles are formed by a pair of lines and a transversal, with one angle on the outside of the lines and on opposite sides of the transversal as compared to the other angle.
4.
Two angles are ____________ if they occupy corresponding positions (1 inside 1 outside)
Correct Answer
A. Corresponding Angles
Explanation
Corresponding angles are two angles that are in the same relative position in relation to a pair of parallel lines and a transversal. They are located on the same side of the transversal, with one angle inside the parallel lines and the other angle outside the parallel lines. Corresponding angles have equal measures and are formed by the same pair of corresponding points on each line.
5.
Two angles are ____________ if they lie between the two lines on the same side of the transversal.
Correct Answer
D. Consecutive angles
Explanation
Consecutive angles are angles that lie between two lines on the same side of the transversal. They are adjacent angles that share a common vertex and a common side. In other words, consecutive angles are formed by two intersecting lines and a transversal, and they are located next to each other on the same side of the transversal.
6.
Define Perpendicular lines.
7.
Define parallel lines.
8.
<1 and <2 are supplementary. Find M<2M<1 = 107 degrees
Correct Answer
73
9.
Two lines that intersect to form a right angle are _____________________
Correct Answer
perpendicular lines
Explanation
Perpendicular lines are two lines that intersect at a right angle, forming a 90-degree angle. This means that the lines are neither parallel nor coincident, but instead cross each other at a right angle. In geometry, perpendicular lines are often used to describe the relationship between two lines that meet at a right angle, such as the sides of a square or the legs of a right triangle. Therefore, the given answer "perpendicular lines" accurately describes the type of lines that intersect to form a right angle.
10.
Two lines that do not intersect and are not coplanar are _________________
Correct Answer
skew lines
Explanation
Skew lines are two lines in three-dimensional space that do not intersect and are not contained within the same plane. They are not parallel, as parallel lines lie within the same plane, but they also do not intersect, making them distinct from intersecting lines. Skew lines can be thought of as lines that are "slanted" or "tilted" relative to each other, and they provide a fundamental concept in geometry and spatial reasoning.
11.
The sum of the measures of an angle and its _______________ is 90 degrees
Correct Answer
complementary
Explanation
When two angles are complementary, it means that the sum of their measures is equal to 90 degrees. In this question, the missing word is "complementary", which indicates that the angle and its complement add up to 90 degrees.
12.
Consecutive interior angles are also called ______________
Correct Answer
same side interior angles
Explanation
Consecutive interior angles are formed when two parallel lines are intersected by a transversal. They are the pair of angles that are on the same side of the transversal and on the inside of the parallel lines. These angles are also known as same side interior angles.
13.
Alternate ______________ angles are two angles that are formed by two lines and a transversal and that lie between the two lines on opposite sides of the transversal.
Correct Answer
interior
Explanation
Alternate interior angles are two angles that are formed by two lines and a transversal and that lie between the two lines on opposite sides of the transversal. These angles are called "interior" because they are located inside the two lines and are not adjacent to the transversal. They are "alternate" because they are on opposite sides of the transversal and are congruent to each other. Therefore, the correct answer is "interior."
14.
Two adjacent angles whose noncommon sides are opposite rays are called ______________
Correct Answer
linear pairs
Explanation
Linear pairs are two adjacent angles formed by opposite rays. In a linear pair, the noncommon sides of the angles are opposite rays, which means they form a straight line. The sum of the measures of the angles in a linear pair is always 180 degrees. Therefore, the correct answer is "linear pairs."