Download Geometry 1-2 ~ FIRST SEMESTER FINAL

Name______________________________
Final Exam Date___________ Time__________
Geometry 1-2 (Basic)
First Semester Final Exam Review ~ Chapters 1–6
Listed below are the skills you are responsible for having learned in this first semester of
geometry. Next to each goal the section number is given in which the goal was addressed.
Sample problems are listed for the chapter that you might consider reviewing.
Also good for reviewing are your, notes, homework problems and the example problems given in each
section of your text. You will be allowed to use a calculator for this final exam.
Sect.
#
You should be able to:
Page
Numbers
Chapter 1 ~ Tools of Geometry
1.1
p. 5-12
1.2
p. 14-21
1.3
p. 25-35
1.4
p. 36-44
1.5
p. 46-54
1.6
p. 56-64
Identify points, lines and planes.
Identify intersecting lines and planes.
Measure segments.
Calculate with measures.
Find distance between two points.
Find midpoint of a segment.
Measure and classify angles.
Identify and use congruent angles and bisector of an angle.
Identify and use special pairs of angles.
Identify perpendicular lines
Identify & name polygons
Find perimeter, area, circumference of two-dimensional figures
Chapter 2 ~ Reasoning and Proof
2.1
p. 89-96
2.2
2.3
p. 97-104
p. 105-113
2.4
p. 115-123
2.5
p. 125-132
2.6
p. 134-141
2.7
p. 142-148
2.8
p. 149-157
Make conjectures based on inductive reasoning.
Find counterexamples.
Determine truth values of negations, conjunctions and disjunctions.
Analyze statements in if–then form.
Write converse, inverse and contrapositive of if-then statements.
Use the law of detachment.
Use the law of syllogism.
Identify and use basic postulates about points, lines and planes.
Write paragraph proofs.
Use algebra to write two-column proofs.
Use properties of equality to geometric proofs.
Write proofs involving segment additions.
Write proofs involving segment congruence.
Write proofs involving supplementary and complementary angles.
Write proofs involving congruent and right angles.
Chapter 3 ~ Parallel & Perpendicular Lines
3.1
p. 171-176
Identify relationship between two lines or two planes.
Name angle pairs formed by parallel lines and transversals.
3.2
p. 178-184
Use theorems to determine relationship between specific pairs of angles.
Use algebra to find angle measurements.
3.3
p. 186-194
Find slopes of lines.
Use slopes to identify parallel and perpendicular lines.
3.4
p. 196-203
Write an equation of a line given information about the graph.
Solve problems by writing equations.
3.5
p. 205-212
Recognize angle pairs that occur with parallel lines.
Prove that two lines are parallel using angle relationships.
3.6
p. 213-222
Find distance between point and a line.
Find distance between two parallel lines.
Suggested Problems &
Reviews
Read key concepts p. 76
Review vocab p. 76
P.77-79, #1-31
P. 81, #1-19
Read p. 82-83, #2
P. 84-85, PSAE review, #25, 7-11, 13,
 ☺P. 969-970, reviews for
each lesson
 P. 999, #1-7 (applications)
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Read key concepts p. 158
Review vocab p. 158
P. 159-162, #1-43
P. 163, #1-16
Read p. 164-165, #1-2
P. 166-167, #1-12
☺P.971-973, reviews for
each lesson
 P. 1000, #1-8 (applications)
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Read key concepts p. 223
Review vocab p. 223
P. 224-226, #1-42
P. 227, #1-25
Review p. 229, #1-2
P. 230-231, #1-13
☺P.974-975, reviews for
each lesson
 P. 1001, #1-10
(applications)
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Geometry 1-2 ~ FIRST SEMESTER FINAL EXAM REVIEW ~ PAGE TWO
Sect.
#
You should be able to:
Page
Numbers
Chapter 4 ~ Congruent Triangles
4.1
p. 235-242
4.2
p. 244-252
4.3
p. 253-261
4.4
p. 262-270
4.5
p. 273-280
4.6
p. 283-291
4.8
p. 301-307
Identify and classify triangles by angle measure.
Identify and classify triangles by side measure.
Apply triangle angle-sum theorem.
Apply exterior angle theorem.
Name and use corresponding parts of congruent polygons.
Prove triangles congruent using the definition of congruence.
Use side-side-side (SSS) postulate to test for triangle congruence.
Use side-angle-side (SAS) postulate to test for triangle congruence.
Use angle-side-angle (ASA) postulate to test for triangle congruence.
Use angle-angle-side (AAS) theorem to test for congruence.
Use properties of isosceles triangles.
Use properties of equilateral triangles.
Position and label triangles for use in coordinate proofs.
Write coordinate proofs.
Chapter 5 ~ Relationships in Triangles
5.1
p.322-331
Identify and use perpendicular bisectors in triangles.
Identify and use angle bisectors in triangles.
5.2
p. 333-341
Identify and use medians in triangles.
Identify and use altitudes in triangles.
5.3
p. 342-349
Recognize and apply properties of inequalities:
to the measures of the angles of a triangle AND
to the relationships between the angles and sides of a triangle.
5.5
p.360-366
Use the triangle inequality theorem to identify possible triangles.
Prove triangle relationships using the triangle inequality theorem.
Chapter 6 ~ Quadrilaterals
6.2
p. 399-407
Recognize and apply properties of the sides and angles of parallelograms.
Recognize and apply properties of the diagonals of parallelograms.
6.3
p. 409-417
Recognize the conditions that ensure a quadrilateral is a parallelogram.
Prove that a set of points forma a parallelogram in the coordinate plane.
6.4
p. 419-425
Recognize and apply properties of rectangles.
Determine whether parallelograms are rectangles.
6.5
p. 426-434
Recognize and apply the properties of rhombi and squares.
Determine whether quadrilaterals are rectangles, rhombi or squares.
6.6
p. 435-444
Apply properties of trapezoids.
Apply properties of kites.
Suggested Problems &
Reviews
Read key concepts p. 308
Review vocab p. 308
P. 309-312, #1-33, 39-41
P. 313, #1-16, 18-20
Review p. 314-315, #1-5
P. 316-317, #1, 3, 4, 6-15
☺P.976-978, reviews for
each lesson
 P. 1002, #1-6, 8, 9
(applications)
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Read key concepts p. 377
Review vocab p. 377
P. 378-380, #11-19, 26-30
P. 381, #1-19
Review p. 382-383, #1-5
P. 384-385, #1-15 (skip
3,7)
 ☺P.978-980, reviews for
each lesson
 P. 1003, #1-8(applications)
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Read key concepts p. 445
Review vocab p. 445
P. 446-448, #16-43
P. 449, #3-25 (skip 7-10)
Review p. 450-451, #1-3
P. 452-453, #1-14 (skip
4,8)
 ☺P.981-982, reviews for
each lesson
 P. 1004, #3-9(applications)
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