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Name ___________________________
Hour ______________
Geometry
Unit 4 Review
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Lesson-1
1. Finish labeling the figure so that
3 and 8 are same-side interior
angles, 3 and 6 are corresponding
angles, 3 and 7 are alternate interior,
and 4 and 5 are alternate exterior
angles.
3. Find the measures of the angles in the
diagram. State the theorem or postulate
that justify your answers.
a.
b.
2. Find the measure of each angle in the
diagram. State the theorem or postulate
that justify your answers.
4. Find the value of x. Then find the
measure of each labeled angle.
5. Find the value of x. Then find the
measure of each labeled angle.
6.
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Revised Fair 2012-2013
Lesson 2
7. State which theorem or postulate
justifies your answer.
Lesson 3
11. Find the value of the variable.
12. Find the value of the variable.
a.
b.
c.
13. Find the value of the variable.
d.
8. Determine which lines, if any, must be
parallel. Justify your answer with a
theorem or postulate.
14. Find the measures of the numbered
angles.
a.
b.
c.
d.
15. Find the value of the variables.
9  14
2 is supplementary to 3 .
9  1
7  14
9. Find the value of x, for which a || b.
16. Find the measure of the numbered angle.
17. The sides of a triangle are 6cm, 8cm, and
6cm. Classify the triangle by its sides.
10. Find the value of x, for which a || t.
18. The angles of a triangle are 34, 55, 91 .
Classify the triangle by its angles.
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19. Complete this proof of the Triangle Exterior Angle Theorem by filling in the blanks.
a. m1  m4  180 by the ___________________________ Postulate.
b. m2  m3  m4  180 by the _______________________ Theorem.
c. m1  m4  m2  m3  m4 by the ___________________ Property of
Equality.
d. m1  m2  m3 by the ________________ Property of Equality.
Lesson 4
20. Find the missing angle measure.
24. Find the value of each variable.
21. Find the missing angle measure.
25. Name the figure by its vertices, name its
sides, classify it by the number of sides,
and determine if the figure is a convex
polygon or concave polygon.
22. Find the values of the variables. The
figure is a regular figure.
26. For a 12-sided polygon, find each of the
following.
a. The measure of an exterior
angle.
b. The measure of an interior
angle.
23. Find the value of the variable.
27. The measure of an interior angle of a
regular polygon is 108 . How many
sides does the polygon have?
28. The measure of an interior angle of a
regular polygon is 135 . How many
sides does the polygon have?
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Revised Fair 2012-2013