Download Period ______ Unit 3 (Part 1) Review Guide

Name ___________________ Period _______
Unit 3 (Part 1) Review Guide
1. An angle is 20 degrees less than 3 times its supplement. Find the angle measure and its supplement.
2. An angle is five times its complement. Find the angle measure and its complement.
3. The supplement of an angle is 15 degrees less than 4 times the complement of an angle. Find the
measure of the angle, its complement and its supplement.
4. Find the measure of the three interior angles of a triangle if the second is 9 degrees more than five times
the first and the third is three times the measure of the first.
5. Find the values of the variables.
a)
b)
c)
d)
Disclaimer: This study guide is not intended to be all-inclusive. It is not intended to replace daily attendance, homework
completion and correction, class participation, reviewing material independently, taking notes, and attending tutoring.
Its primary purpose is to highlight some of the big ideas from this unit.
6. Find the numbered angle measures.
Find the measures of the labeled angles below.
7.
8.
10.
9.
11.
12. What is wrong with the picture?
13. Find the measures of an interior and an
exterior angle of a regular dodecagon.
14. How many sides does a regular polygon have if
each interior angle is 140 degrees?
Disclaimer: This study guide is not intended to be all-inclusive. It is not intended to replace daily attendance, homework
completion and correction, class participation, reviewing material independently, taking notes, and attending tutoring.
Its primary purpose is to highlight some of the big ideas from this unit.
15. The measures of two exterior angles of a
triangle are 103 and 113. Find the measure of the
third exterior angle.
16. How many sides does a regular polygon have if
each exterior angle measure is 24 degrees?
17. How many sides does a polygon have if the
sum of the interior angle measures is 3,960
degrees?
18. Find the sum of exterior angles of a nonagon.
19. The sum of the measures of the interior angles of a polygon is four times the sum of the measures of its
exterior angles, one at each vertex. How many sides does the polygon have?
20. The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How
many sides does the polygon have?
21. List the angles and sides in order from smallest to largest.
a)
b)
Disclaimer: This study guide is not intended to be all-inclusive. It is not intended to replace daily attendance, homework
completion and correction, class participation, reviewing material independently, taking notes, and attending tutoring.
Its primary purpose is to highlight some of the big ideas from this unit.
22. Is it possible for a triangle to have sides with the given lengths? Explain.
a) 5 in, 15 in, 8 in
b) 20 cm, 10 cm, 12 cm
c) 6 m, 11 m, 5 m
23. Two side lengths of a triangle are given. Describe the possible length of the third side.
a) 4 in, 8 in
c) 5 yd, 5 yd
b) 12 ft, 13 ft
d) 3 ft, 10 ft
24. Find the measure of the lettered angles below.
𝑎 = __________ 𝑏 = __________
𝑐 = __________ 𝑑 = __________
𝑒 = __________ 𝑓 = __________
𝑔 = __________ ℎ = __________
𝑗 = __________ 𝑘 = __________
𝑙 = __________ 𝑚 = __________
𝑛 = __________ 𝑝 = __________
𝑞 = __________
Disclaimer: This study guide is not intended to be all-inclusive. It is not intended to replace daily attendance, homework
completion and correction, class participation, reviewing material independently, taking notes, and attending tutoring.
Its primary purpose is to highlight some of the big ideas from this unit.
Unit 3 (Part 1) Skills Checklist

3.1 – I can apply the Vertical Angles Conjecture.

3.1 – I can apply the Linear Pair Conjecture.

3.1 – I can apply the Congruent Supplements Conjecture.

3.1 – I can solve statement problems involving complementary and supplementary angles by
translating English words into a mathematical equation and solving the equation.

3.32– I can apply the Triangle Sum Conjecture to pictures and statement problems.

3.2 – I can apply the Third Angle Conjecture.

3.3 – I can apply the Quadrilateral Sum Conjecture to pictures and statement problems.

3.3 – I can apply the Polygon Sum Conjecture to pictures and statement problems.

3.3 – I can find the measure of an interior angle of an equiangular polygon (picture/words).

3.4 – I can apply the Polygon Exterior Angle Sum Conjecture to pictures and statement problems.

3.4 – I can find the measure of an exterior angle of an equiangular polygon (picture/words).

3.4 – I can apply the Triangle Exterior Angle Conjecture.

3.5 – I can order the measures of the angles of a triangle based on the side lengths.

3.5 – I can order the lengths of the sides of a triangle based on the angle measures.

3.5 – I can apply the Triangle Inequality Conjecture to determine if three side lengths form a triangle.

3.5 – I can apply the Triangle Inequality Conjecture to describe the possible length of a third side of a
triangle given two side lengths.

3.6 – I can apply the Isosceles Triangle Conjecture and its converse.

3.6 – I can apply the Equilateral Triangle Conjecture and its converse.

I can apply all the above conjectures using Algebra (write and solve equations).