Question

preparing for chapter 3
please define the following review vocabulary terms. then provide an example of each.

1. acute angles
2. obtuse angles
3. right angles
4. straight angles
5. parallel lines
6. perpendicular lines
7. transversal line
8. intersecting lines
9. supplementary angles
10. complementary angles
11. vertical angles
12. adjacent angles
13. congruent angles

Explanation:

1. Acute Angles: An angle whose measure is between 0° and 90°. Example: A 30 - degree angle.
2. Obtuse Angles: An angle whose measure is between 90° and 180°. Example: A 120 - degree angle.
3. Right Angles: An angle that measures exactly 90°. Example: The corner of a square.
4. Straight Angles: An angle that measures exactly 180°. Example: A straight - line.
5. Parallel Lines: Two lines in a plane that never intersect, no matter how far they are extended. Example: The opposite sides of a rectangular picture frame.
6. Perpendicular Lines: Two lines that intersect at a 90 - degree angle. Example: The lines forming the letter 'L'.
7. Transversal Line: A line that intersects two or more other lines in a plane at different points. Example: A road crossing multiple railway tracks.
8. Intersecting Lines: Two or more lines that meet at a point. Example: The two hands of a clock at any non - parallel position.
9. Supplementary Angles: Two angles whose sum is 180°. Example: A 100 - degree angle and an 80 - degree angle.
10. Complementary Angles: Two angles whose sum is 90°. Example: A 40 - degree angle and a 50 - degree angle.
11. Vertical Angles: Pairs of opposite angles made by two intersecting lines. Example: When two lines intersect, the non - adjacent angles are vertical angles.
12. Adjacent Angles: Two angles that have a common vertex and a common side but no common interior points. Example: Angles in a corner of a book where the pages meet.
13. Congruent Angles: Angles that have the same measure. Example: Two 60 - degree angles.

Answer:

1. Definition: An angle whose measure is between 0° and 90°. Example: 30 - degree angle
2. Definition: An angle whose measure is between 90° and 180°. Example: 120 - degree angle
3. Definition: An angle that measures exactly 90°. Example: Corner of a square
4. Definition: An angle that measures exactly 180°. Example: A straight - line
5. Definition: Two lines in a plane that never intersect, no matter how far they are extended. Example: Opposite sides of a rectangular picture frame
6. Definition: Two lines that intersect at a 90 - degree angle. Example: Lines forming the letter 'L'
7. Definition: A line that intersects two or more other lines in a plane at different points. Example: A road crossing multiple railway tracks
8. Definition: Two or more lines that meet at a point. Example: Two hands of a clock at any non - parallel position
9. Definition: Two angles whose sum is 180°. Example: 100 - degree angle and 80 - degree angle
10. Definition: Two angles whose sum is 90°. Example: 40 - degree angle and 50 - degree angle
11. Definition: Pairs of opposite angles made by two intersecting lines. Example: Non - adjacent angles when two lines intersect
12. Definition: Two angles that have a common vertex and a common side but no common interior points. Example: Angles in a corner of a book where the pages meet
13. Definition: Angles that have the same measure. Example: Two 60 - degree angles