Properties of Triangles
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High School Geometry
High School Geometry
Math

 Name _____________________________ Date ___________________ (Key 1 - Answer ID # 0582421)
1.

Which of the following statements is NOT correct?
 The shortest distance from a vertex to the opposite side is the altitude to that side. In an isosceles triangle, the altitude to the base bisects the base and the vertex angle. An equilateral triangle is also an equiangular triangle. The circumcenter of a triangle is always inside the triangle.

2.

In ABC, is the perpendicular bisector of and D lies on . Which statement(s) must be true?
(I) ABD ACD
(II) ABC is equilateral.
(III) is the bisector of BAC.
 I, II, and III I only II only III only I and III only

3.

If kn, ABC is an isosceles, m1 = 3x and m2 = (75 -x), find the measure of mBAC.

4.

and bisect ADE and CED respectively. If mCED = 115 and mDFE = 67, find mABF.

5.

You want to prove that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex. Which postulate can NOT be used in your proof?
 SAS HL SSA SSS

6.

X is a point inside triangle ABC. If X is equidistant from and , then X must lie on the ______.
 altitude to side median of C bisector of C perpendicular bisector of

Properties of Triangles
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