Download Period ______ Unit 3 (Part 1) Review Guide

PRINCIPLES OF GEOMETRY
Name ___________________ Period _______
Unit 3 (Part 1) Review Guide
1. Find the values of the variables.
a)
b)
c)
d)
Find the measures of the labeled angles below.
2.
5.
3.
4.
6.
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.
7. Find the numbered angle measures.
8. What is wrong with the picture?
9. Find the measures of an interior and an exterior
angle of a regular dodecagon.
10. How many sides does a regular polygon have if
each interior angle is 140 degrees?
11. The measures of two exterior angles of a
triangle are 103 and 113. Find the measure of the
third exterior angle.
12. How many sides does a regular polygon have if
each exterior angle measure is 24 degrees?
13. How many sides does a polygon have if the
sum of the interior angle measures is 3,960
degrees?
14. Find the sum of exterior angles of a nonagon.
15. 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.
16. 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
17. 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
18. 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.

3.32– 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).