Name______Period______Date ______

GEOMETRY

UNIT 5 TEST Review

1. Draw isosceles triangle ABC. Label the vertex angle B and the base angles A and C. Draw the perpendicular bisector of segment AC and label it segment BD. The length of segment AD is (4x + 10) and the length of segment AC is (10x – 18). What is the length of segment AD? Round your answer to the nearest tenth.

2. Sketch scalene triangle BIG. Draw and label all the altitudes. Sketch equilateral triangle RAJ. Sketch the medians for all sides. What is the point of concurrency called?

3. Sketch an acute, obtuse, equiangular, and right triangle. Draw all angle bisectors for each triangle.

4. Draw obtuse triangle BHS. Sketch the perpendicular bisectors of all three sides of

the triangle.

5. Define equidistant:


6. Right triangle FGH has midsegments of 20, 48 and 52 centimeters. What is the area of ?

7. In disc golf, a player tries to throw a disc into a metal basket target. Four disc golf targets on a course are shown in the diagram. Which two targets are closest together?

Define the following terms

8. altitude of a triangle

9. median of a triangle

10. indirect proof

11. midsegment of a triangle

12. centroid of a triangle


13. The vertices of are J (-18, 4), K(20,2) and L(10,12). is the midsegment parallel to . What is the length of ? Round to the nearest tenth.

14. In , , and . What is the perimeter of the midsegment triangle of ?

10 14

16

15. Write the angles of in order from largest to smallest.

16. Write the sides of in order from largest to smallest.

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Tell whether or not a triangle can have sides with the given lengths. If not, explain why.

17. 16, 16, 32

18. 22, 8, 28

19. State which two statements contradict each other.

A. is an obtuse triangle

B. is an acute angle

C. is an right angle

20. Compare the given measures using an inequality.

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21. If the measure of angle LJK is 30, what is the measure of angle KLJ?