Exam Topics: Triangles = 180°, Altitudes/Medians/Bisectors of Triangles, Exterior Angles of a
Triangle, Types of Triangles, Short/Long Sides and Angles of Triangles, 3 sides of a triangle,
Points of Concurrency, Mean Proportions, Pythagorean Theorem, Special Right Triangles
Examples:
1) Which of the following is most closely associated with an angle bisector? a) centroid b) orthocenter c) incenter d) circumcenter
2) Which of the following can represent the three sides of a triangle? c) {6,8,15} d) {11,12,24} a) {4,5,8} b) {1,1,2}
3) Which of the following is not a cevian? a) altitude b) median c) midpoint d) angle bisector
4) Triangle WXY has sides of WX =10, XY = 9, and YW = 11. Name the largest angle of triangle
ABC.
5) Which types of triangle has one obtuse angle and two acute angles? a) acute b) obtuse c) right d) equilateral
6) In

MNP , medians
NQ
and PR are concurrent at O. If NQ = 4x – 10 and NO = x + 5,
find NO, OQ, and NQ.
7) The circumcenter of ΔABC is point P. If AP = -7 + 4y, BP = 2x – 5, and CP = 3x – 8, find x and y.
8) The coordinates of the vertices of ΔABC are A(-19,-4), B(-7,-1), and C(2,8). Find the coordinates of the centroid of ΔABC.
9) In the diagram below, m<CGD = 3x + 32, m<C = 2x + 4, and m<J = 2x – 9. Find x and <JCG.
C
D G J

10) What is the geometric mean of 124 and 56?
11) In right triangle ABC, BD is the altitude drawn to hypotenuse AC. The length of DC is 24 inches more than the length of AD. a) If AD = x, write an expression for the length of DC in terms of x. b) If BD = 9 inches, find the length of DC.
12) The length of the hypotenuse of a 45-45-90 right triangle is 20. What is the length of one of the legs?
13) The length of the hypotenuse of a 30-60-90 right triangle is 20. What is the length of the shorter leg?
14) Simplify: 2√72 15) Simplify: -15/√3
16) A bird leaves its nest and flies 7.5 miles to the west. It rests and then flies 8.4 miles to the north.
How far away from the nest is the bird? (Draw a diagram!)