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Transcript
Unit 1 – Geometry Basics
Specific Objectives by Section
1.2
Points, Lines, and Planes



1.3
Segments and Their Measures


9.2
Memorize and use area formulas for square, rectangle, triangle, and circle
Memorize and use perimeter and circumference formulas
Find area or perimeter for shapes on coordinate plane by first finding length of sides, or
height of shape
Circumference and Arc Length

11.5
Find the measures of interior and exterior angles of polygons.
Introduction to Perimeter, Circumference, and Area



11.4
Identify vertical angles and linear pair
Identify complementary and supplementary angles
Calculate angle measures using definitions of above terms by setting up correct equations
to represent angle relationship
Angle measures in Polygons

1.7
Use properties of bisectors and midpoints to determine if a segment is a perpendicular
bisector
Angle Pair Relationships



11.1
Bisect an angle and segment using a compass or paper folding
Find the midpoint of a segment on the coordinate plane using the midpoint formula
Find angle measures using definition of angle bisector
Perpendicular Bisectors

1.6
Use a protractor to correctly measure an angle by degree
Classify an angle according to its measure
Find angle measures using angle addition postulate
Segment and Angle Bisectors



5.1
Correctly use the Pythagorean theorem to find the distance between two points on the
coordinate plane
Angles and Their Measures



1.5
Find the distance between two points using segment addition postulate
Use the distance formula to find distance between two points on the coordinate plane
Pythagorean Theorem

1.4
Understand basic undefined terms of geometry
Identify and correctly use geometric symbols
Sketch intersections of lines and planes
Adapt the circumference formula to find length of specified circle arc
Areas of Circles and Sectors

Adapt the area formula of a circle to find area of a specified circle sector
Vocabulary for Unit 1 – Basics of Geometry
1.2 undefined terms
point
line
plane
collinear points
coplanar points
segment
ray
opposite rays
intersection
1.7 area
perimeter
circumference
height
base
11.1 polygon
interior angles
exterior angles
1.3 postulates or axioms
congruent segments
distance formula
11.4 arc
arc length
arc measure
9.2 Pythagorean theorem
11.5 circle sector
1.4 initial point
vertex
congruent angles
interior of angle
exterior of angle
acute angle
right angle
obtuse angle
straight angle
reflex angle
adjacent angles
1.5 segment bisector
midpoint
midpoint formula
angle bisector
5.1 perpendicular bisector
1.6 vertical angles
linear pair
complementary angles
supplementary angles