Secondary Math 2 7.3 Angles and Slope

Warm UP: (if needed, use 7.2 notes) Find the midpoint of the following points: 𝑁 10, 16 ; 𝐾 (2, 1) Find the distance between the following points: 𝑁 10, 16 ; 𝐾 (2, 1)

Questions on 7.2

QUIZ 13 – Geometry Basics Cannot use notes. 𝑫 = (𝒙𝟐−𝒙𝟏)𝟐 + (𝒚𝟐−𝒚𝟏)𝟐 𝑫 = (𝒙𝟐−𝒙𝟏)𝟐 + (𝒚𝟐−𝒚𝟏)𝟐 When you are done, flip your quiz over, and sit silently.

ANGLE – What is it!?! The amount of turn between two rays that have a common endpoint.

Naming Angles – 4 ways

Practice!!!

Kinds of angles: “measure” of an angle = how far it opens up Acute: angle where measure is less than 90˚ Right: angle where measure is exactly 90˚ Obtuse: angle where measure is greater than 90˚

Congruent Angles If two angles have the same measure, then they are congruent If two angles are congruent, then they have the same measure.

Kinds of angles: Complementary Angles: angles whose sum is 90˚ Supplementary Angles: angles whose sum is 180˚ Linear Pair: a pair of adjacent supplementary angles

Think about it: If two angles are complementary, can one of those angles be obtuse?

SLOPE (What we know)

Looking at lines and their slope

Find the slope

Find the slope

Find the slope of the line: The line through (6, 5) and (5, 1)

Kinds of lines: PARALLEL LINES Have the SAME SLOPE!!!!!!! Their slopes are = to each other!!! Symbol for Parallel Lines

Parallel Lines 𝐴𝐵 has a slope of 2 3 𝐶𝐷 also has a slope of 2 3

Kinds of lines: Perpendicular Lines Have OPPOSITE and RECIPROCAL slopes!!!! Example: 3 2 − 2 3 Slope is flipped over (reciprocal) The sign of the slope changed Positive Negative

No slope = Slope of zero (0/anything) Undefined slope = vertical line (anything/0)