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Geometry Practice Set: Inequalities in Two Triangles
Name __________________________________
Complete with <, >, or =.
1. AB __?__ DE
Block__________________
3.
m1 __?__ m2
4.
ET __?__ GT
2.
m1 __?__ m2
5.
Error Analysis Explain why the given reasoning is not correct.
By the Hinge Theorem, AB > DC.
Use the Hinge Theorem or its converse and properties of triangles to write and
solve an inequality to describe a restriction on the value of x.
6.
7.
8.
Shopping You and a friend are going shopping. You leave school and drive 10
miles due west on 26th Street. You then drive 7 miles NW on Raspberry Street to
the grocery store. Your friend leaves school and drives 10 miles due east on 26th
Street. He then drives 7 miles SE on Cascade Street to the movie store. Each of
you has driven 17 miles. Which of you is farthest from your school?
Flashback Practice
Solve the inequality AB + AC > BC for x
9.
Find all possible values of x.
10. A triangle has sides that are 32, 48, and 61 units long and angles of 31°, 52°,
and 97°. Sketch and label a diagram with the longest side on the top and the
smallest angle at the right.
11. List the sides in order from shortest to longest.
12. Playground You are asked to fence in a triangular playground. Two sides of
the playground have lengths of 100 feet and 200 feet. What is the maximum
total length of fence you could possibly need?