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9-1
9-2
9-3
9-4
9-5
9-6
9-7
9-8
9-9
Introduction to Geometry
Measuring and Classifying Angles
Angle Relationships
Finding Angle Measures
Classifying Polygons
Classifying Triangles
Angle Measures in Triangles
Classifying Quadrilaterals
Congruent Figures
9-1 Introduction to Geometry
Lesson Quiz
Identify the figures in the diagram.
1. lines
AD, BE, CF
2. plane
Possible answer: plane ABG
3. three rays
Possible answer: GA, GB, GC
4. four line segments
Possible answer: AG, AD, DG, BG
5. Identify the line segments that are congruent
in the figure.
AG  GD, GB  GE
9-2 Measuring and Classifying Angles
Lesson Quiz
Use a protractor to draw an angle with the
given measure. Tell what type of angle it is.
1. 140° Check student drawings; obtuse
2. 20°
Check student drawings: acute
3. Draw a right angle.
4. Is the angle shown closer to 30° or 120°?
30°
9-3 Angle Relationships
Lesson Quiz
1. Tell whether the
numbered angles are
vertical or adjacent.
adjacent
6
7
Use the diagram to tell whether the angles are
complementary, supplementary, or neither.
2. AZB and BZC
neither
3. BZC and CZD
complementary
9-4 Finding Angle Measures
Lesson Quiz: Part I
Find each unknown angle measure.
1. The angles are vertical angles.
d = 130°
2. The angles are supplementary.
x = 45°
9-4 Finding Angle Measures
Lesson Quiz: Part II
3. KNL = LNM; mJNM = 180°
̃
p = 78°
4. Use the information in the diagram to find
the unknown angle measures a, b, and c.
Show your work. a = 147°, b = 123°, c = 19°
9-5 Classifying Polygons
Lesson Quiz: Part I
Determine whether each figure is a polygon. If it
in not, explain why not. Name each polygon.
1.
3.
2.
yes; pentagon
yes; octagon
4.
no; open figure
no; curved lines
9-5 Classifying Polygons
Lesson Quiz: Part II
5. Tell whether each figure on the previous slide is a
regular polygon. If it is not, explain why not.
1: No, all sides and angles are not congruent.
2, 4: No, they are not polygons.
3: yes
9-6 Classifying Triangles
Lesson Quiz
Classify each triangle according to its sides or
angles.
1. 7 ft, 8 ft, 12 ft scalene
2. 45°, 90°, 45°
right
3. 12, 9, 12
isosceles
4. 120°, 20°, 40°
obtuse
5. Identify the different types of triangles in the
figure, and determine how many of each there are.
1 isosceles acute triangle, 1 equilateral
triangle, 1 scalene right triangle
9-7 Angle Measures in Triangles
Lesson Quiz
1. Find the unknown angle measure in the triangle.
42°
x
70°
68°
2. The figure shows the legs of a picnic table. Find
the unknown angle measure x. Show your work.
72°
54°
126°
x
9-8 Classifying Quadrilaterals
Lesson Quiz
1. Give all the names that apply to the quadrilateral.
Then give the name that best describes it.
rhombus,
quadrilateral,
parallelogram; rhombus
Draw each figure. If it is not possible to draw,
explain why.
2. a quadrilateral with 4 right
angles and 4 congruent sides
square
3. a quadrilateral with only
one pair of parallel sides
trapezoid
9-9 Congruent Figures
Lesson Quiz
1. Identify any congruent figures.
none
2. Determine the missing measures in the
set of congruent polygons.
a = 11, b = 6, c = 110°