Transcript Day 006 Geometryx

ENTRY TASK
GEOMETRY
Measuring Angles (Day 1)
Learning Targets
• I understand the definition of an angle.
• I know how to use a protractor
Success Criteria
• I can use the definition of an angle to describe parts of an
angle.
• I can use a protractor to find the measure of an angle.
DEFINITIONS
• An angle is formed by two rays with the same
endpoint.
• The rays are the sides of the angle.
• The endpoint is the vertex of the angle.
• Name: ∠𝐴, ∠𝐵𝐴𝐶, ∠𝐶𝐴𝐵, ∠1
WHAT ARE TWO OTHER NAMES
FOR ∠1
L
1
M
N
PROTRACTOR POSTULATE
• Consider 𝑂𝐵 and a point 𝐴 on one side of 𝑂𝐵.
• Every ray of the form 𝑂𝐴 can be paired one to one
with a real number from 0 to 180.
MEASURE OF AN ANGLE
• The measure of ∠𝐶𝑂𝐷, 𝑚∠𝐶𝑂𝐷, is the absolute value of the difference of the
real numbers paired with 𝑂𝐶 and 𝑂𝐷.
• That is, if 𝑂𝐶 corresponds with c, and 𝑂𝐷 corresponds, with d, then 𝑚∠𝐶𝑂𝐷 =
𝑐−𝑑
NAMING ANGLES
• Acute Angle
• Obtuse Angle
• 0 < 𝑥 < 90
• 90 < 𝑥 < 180
• Right Angle
• Straight Angle
• 𝑥 = 90
• 𝑥 = 180
• What are the measures of ∠𝐿𝐾𝑁, ∠𝐽𝐾𝐿, ∠𝐽𝐾𝑁?
• Classify each angle as acute, right, obtuse, or
straight.
CONGRUENT ANGLES
• Angles with the same measure are congruent
angels.
Learning Targets
• I understand the definition of an angle.
• I know how to use a protractor
Success Criteria
• I can use the definition of an angle to describe parts of an
angle.
• I can use a protractor to find the measure of an angle.
EXIT TICKET
ASSIGNMENT
•Pg 31-32
•#6-21 x3, 24, 26