Name________________________________________________Period_____Date_______________________
Geometry Foundations
Study Guide for Quiz 5.6-5.7
1.) Given side lengths, list the angles in a triangle from smallest to largest.
a. The smallest angle is across from the _________________________ side.
b. The largest angle is across from the _________________________ side.
c. Page 346 #7-9
2.) Given angle measurements, list the sides of a triangle from shortest to longest.
a. The shortest side is across from the _________________________ angle.
b. The longest side is across from the _________________________ angle.
c. Page 347 #13-15
3.) Apply the Hinge Theorem (SAS Inequality)
a. When two sides of a triangle are congruent to two sides of another triangle and the included
angles are not congruent, the shorter side length is across from the ______________________
angle.
b. Page 357 #6-9
4.) Apply the Converse of the Hinge Theorem (SSS Inequality)
a. When two sides of a triangle are congruent to two sides of another triangle and the third sides
are not congruent, then the smaller angle is across from the ____________________ side.
b. Page 357 #6-9
5.) Given three possible sides lengths, decide if it’s possible to make a triangle.
a. The sum of any two sides of a triangle must be _________________________ the third side.
b. Page 350 #3-7
6.) Given two side lengths of a triangle, find the range of possible x values for the third side.
a. Short cut: Add to the two side lengths, subtract the two side lengths, then make an inequality.
b. Page 350 #8-12
7.) Write inequalities for angles or sides of a triangle using the Hinge Theorem or its Converse.
a. Page 357 #6-9
8.) Find the range of possible values for x using the Hinge Theorem.
a. Set the expression with x equal to the other angle given and solve.
b. To find the other possible number in the range, always use ________________.
c. Page 357 #10-12