Obj: to understand & apply concepts involving angles and
lines Slide 2 The Father of Geometry wrote Elements He lived around
300 BC in Greece Elements is one of the most influential works in
the history of mathematics, serving as the main textbook for
teaching mathematics (especially geometry) from the time of its
publication until the late 19th or early 20th century. Slide 3
Perpendicular Lines: Lines that intersect to form a right or 90
angle. The symbol means is perpendicular to. Slide 4 Parallel
Lines: lines in the same plane that do not intersect. The symbol //
means is parallel to. The arrows on the lines indicates that the
lines are parallel also. Slide 5 Transversal: a line that
intersects at least two other lines at different points. When a
pair of lines are cut by a transversal there are special angle
pairs that are formed. Slide 6 Complementary Angles: a pair of
angles that has a sum of 90. Slide 7 Supplementary Angles: A pair
of angles that has a sum of 180 Slide 8 Adjacent Angles: A pair of
angles that share a common side and a common vertex. Slide 9 Linear
Pair: Special angle pair that forms a straight line. The angles
have a sum of 180. The angles have to be adjacent. Slide 10
Vertical Angles: Special angle pair formed by intersecting lines.
The angles are congruent or have the same measure. Slide 11
Interior Angles: angles that are in between the lines. Slide 12
Exterior Angles: angles that are outside the lines Slide 13
Alternate Interior Angles: Special angle pair formed by two lines
cut by a transversal. They are interior angles on opposite sides of
the transversal. One angle is on the top and the other angle is on
the bottom. They form the letter Z. When the lines are parallel,
then the angles are congruent. Slide 14 Alternate Exterior Angles:
Special angle pair formed by two lines cut by a transversal. They
are exterior angles on opposite sides of the transversal. One angle
is on the top and the other angle is on the bottom. When the lines
are parallel, then the angles are congruent. Slide 15 Corresponding
Angles: Special angle pair formed by two lines cut by a
transversal. One angle is an exterior angle and one angle is and
interior angle. Both angles are on the same side of the
transversal. One is on the top and the other is on the bottom. When
the lines are parallel, then the angles are congruent.
