5 Written Questions

1. The segment from the vertex of an isosceles triangle to the midpoint of the base bisects the vertex angle.
2. then that point is on the perpendicular bisector of the segment.
3. the angle formed by the legs of an isosceles triangle
4. In an isosceles triangle, the altitude to the base bisects the base and bisects the vertex angle
5. The congruent sides of the isosceles triangle

5 Matching Questions

1. Equiangular Triangle Corollary
2. Included Angle
3. Converse of the Isosceles Triangle Theorem
4. Included Side
5. HL Congruence Theorem

1. a a side of a polygon that connects one angle to another angle (where each of these angles is equal to an angle in the other triangle)
2. b if a triangle is equiangular, then it is equilateral
3. c If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of a second right triangle, then the triangles are congruent.
4. d It two angles of a triangle are congruent, then the sides opposite thos angles are congruent
5. e An angle created by two adjacent sides

5 Multiple Choice Questions

1. if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of a second, then the triangles are congruent
   1. AAS Theorem
   2. SSS Postulate
   3. ASA Postulate
   4. SAS Postulate
2. the perpendicular segment from a vertex to the line containing the opposite side. Also called the "height" of the triangle.
   1. Congruent Triangles
   2. Included Angle
   3. Median of a triangle
   4. Altitude of a triangle
3. A point is on the angle bisector if and only if the point is equidistant from the sides of the angle.
   1. Point on an angle bisector theorem
   2. If a point is on an angle bisector
   3. Isosceles Triangle bisector corollary
   4. Isosceles Triangle Theorem
4. if two sides of a triangle are congruent, then the angles opposite those sides are congruent
   1. Isosceles Triangle Theorem
   2. HL Congruence Theorem
   3. HA Congruence Theorem
   4. Isosceles Triangle bisector corollary
5. Triangles are congruent if and only if there is a correspondence between the triangles such that corresponding angles are congruent and corresponding sides are congruent
   1. Congruent Triangles
   2. Median of a triangle
   3. HL Congruence Theorem
   4. Included Angle

5 True/False Questions

1. Base angles of an isosceles triangle → the angle formed by the legs of an isosceles triangle

   True        False

2. SSS Postulate → If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

   True        False

3. If a point is equidistant to the sides of an angle → then that point is on the angle bisector.

   True        False

4. If the altitude is drawn to the base of an isosceles triangle → then it bisects the base and the vertex angle.

   True        False

5. HA Congruence Theorem → If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of a second right triangle, then the triangles are congruent.

   True        False