Honors Geometry Chapter 5 Review
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In 1-4, WY is the midsegment of ∆QRS. Find the value of x.
1.)
2.)
3.)
4.)
In 5 and 6, Place the figure in the coordinate plane in a convenient way. Label the coordinates of each vertex.
5.) An Isosceles Obtuse Triangle
6.) A Scalene Right Triangle
In 7 and 8, Z is the circumcenter of ∆WXY. Find the indicated measure.
7.) WZ
8.) ZY
In 9 and 10, use the information in the diagram to find x.
9.)
10.)
In 11 and 12, ∆ABC has centroid Q. Find the indicated length.
11.) QC = 12. Find QM.
12.) QC = 6. Find QL.
13.) List the unknown sides in order from
shortest to longest.
14.) List the unknown angles in order from
smallest to largest.
15.) A triangle has one side length 7ft and another side length of 24in.
Describe the possible lengths of the third side.
16.) List the sides in order from shortest to longest.
17 and 18, Use the Triangle Inequality Theorem to find ALL possible values for x.
17.)
18.)
In 19 and 20, 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.
19.)
20.)
21.) Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3
miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1°
north of due east. Which family is farther from the marina? Explain your reasoning.
22.) Suppose you wanted to prove the statement “If x + y  20 and y = 5, then x  15.”
What temporary assumption can you make in order to prove the conclusion indirectly?