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Geometry (USP)
Chapter 4 Worksheet
Mr. Hunt
Do you know HOW?
Find the value of x.
1.
2.
Identify the two statements that contradict each other.
3. III. A and B are obtuse angles.
III. mA = 110
III. A and B are supplementary.
4. III. ABCD is a quadrilateral.
III. ABCD is a square.
III. mA > mD
List the angles of ∆ABC from smallest to largest.
5. AB = 3, BC = 4, CA = 5
6. AB = 20, BC = 12, CA = 10
List the sides of ∆ABC from shortest to longest.
7. mA = 30, mB = 60, mC = 90
8. mA = 100, mB = 20, mC = 60
Algebra Find the value of x.
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10.
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12.
∆ABC has the vertices A(1, 4), B(3, 4), and C(1, 1). Find the coordinates of each
point of concurrency.
13. circumcenter of ∆ABC
14. orthocenter of ∆ABC
In each triangle, O is the centroid. Find the value of x.
15.
16.
Do you UNDERSTAND?
17. Reasoning Use indirect reasoning to show that an equilateral triangle cannot have
a right angle.
18. The base of an isosceles triangle has a length of 25. What can you say about the
lengths of the legs?
19. Reasoning Use indirect reasoning to show that a triangle cannot have more than
one obtuse angle.
20. Writing Explain how the Triangle Midsegment Theorem can be used for
indirect measurement.
21. In the figure at the right, what can you conclude about
point B? Explain.