Honors Geometry
Learning Goals
Chapter 1
–
Points, Lines, Planes, and Angles
Learning Goals
Use the terms
equidistant, point,
and
line.
(1

1)
Draw representations of points and lines. (1

1)
Use the undefi
ned terms
point, line,
and
plane.
(1

2)
Draw representations of points, lines, and planes (1

2)
Use the terms
collinear, coplanar,
and
intersection.
(1

2)
Use symbols for lines, segments, rays, and distanc
es. (1

3)
Find distances. (1

3)
State and use the Ruler Postulate and the Segment Addition Postulate (1

3)
Name angles and find their measures. (1

4)
State and use the Angle Addition Postu
late (1

4)
Recognize what can be concluded from a diagram. (1

4)
Use postulates and theorems relating points, lines, and planes. (1

5)
Chapter 2
–
Deductive Reasoning
Learning Goals
Recognize the hypothe
sis and the conclusion of an if

then statement. (2

1)
State the converse of an if

then statement. (2

1)
Use a counterexample to disprove an if

ten statement (2

1)
Understand the meaning of
if and only if
.
(2

1)
Use properties from Algebra and properties of congruence in proofs. (2

2)
Use the Midpoint Theorem and the Angle Bisector Theorem. (2

3)
Know the kinds of reasons that can be used in proofs. (2

3)
Apply the definitions of complementary and supplementary angles. (2

4)
State and use the theorem about vertical angles. (2

4)
Apply the definitions and theorems about perpendicular lines. (2

5)
State and apply the theorems about angles supplementary to, or complementary to,
congruent angles. (2

6)
Plan proofs and then write them in two

column form. (2

6)
Chapter 3
–
Parallel Lines and Planes
Learning Goals
Di
stinguish between intersecting lines, parallel lines, and skew lines. (3

1)
State and apply the theorem about the intersection of two parallel planes by
a third plane. (3

1)
Identify the angles formed when two lines are c
ut by a transversal. (3

1)
State and apply the postulates and theorems about parallel lines. (3

2 and 3

3)
State and apply the theorems about a parallel and a perpendicular to a given line
through a point outside the line.
(3

3)
Classify triangles according to sides and to angles. (3

4)
State and apply the theorems and the corollaries about the sum of the measures
of the angles of a triangle. (3

4)
State and apply the theo
rem about the measure of an exterior angle of
a triangle. (3

4)
Recognize and name convex polygons and regular polygons. (3

5)
Find the measures of interior angles and exterior angles of convex polygons. (3

5)
Understand and use inductive reasoning. (3

6)
Chapter 4
–
Congruent Triangles
Learning Goals
Identify corresponding parts of congruent figures. (4

1)
Prove two triangles congruent by using the SSS, SAS, and ASA Post
ulates. (4

2)
Deduce information about segments and angles after proving that two triangles are
congruent. (4

3)
Apply the theorems and corollaries about isosceles triangles. (4

4)
Use the AAS Theorem to p
rove two triangles congruent. (4

5)
Use the HL Theorem to prove two right triangles congruent. (4

5)
Prove that two overlapping triangles are congruent. (4

5)
Prove two triangles congruent by first proving
two other triangles congruent. (4

6)
Apply the definitions of the median and the altitude of a triangle and the
perpendicular bisector of a segment. (4

7)
State and apply the theorem about a point on the perpendicular bi
sector of a
segment, and the converse. (4

7)
State and apply the theorem about a point on the bisector of an angle,
and the converse. (4

7)
Chapter 5
–
Quadrilaterals
Learning Goals
Apply the definition of a parallelogr
am and the theorems about properties
of a parallelogram. (5

1)
Prove that certain quadrilaterals are parallelograms. (5

2)
Apply theorems about parallel lines. (5

3)
Apply the midpoint theorems for triang
les. (5

3)
Apply the definitions and identify the special properties of a rectangle, a rhombus,
and a square. (5

4)
Determine when a parallelogram is a rectangle, rhombus, or square. (5

4)
Apply the defin
itions and identify the properties of a trapezoid and an
isosceles trapezoid. (5

5)
Chapter 6
–
Inequalities in Geometry
Learning Goals
Apply properties of inequality to positive numbers, lengths of segments,
and measures of angles. (6

1)
State and use the Exterior Angle Inequality Theorem. (6

1)
State the contrapositive and inverse of an if

then statement. (6

2)
Understand the relationship between logically equivalent statements. (6

2)
Draw correct conclusions from given statements. (6

2)
Write indirect proofs in paragraph form. (6

3)
State and apply the inequality theorems and corollaries for one triangle. (6

4)
State a
nd apply the inequality theorems for two triangles. (6

5)
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