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Topics for the Chapter 3 Test

Here are the things you need to know for the upcoming Chapter 3 Test:

Definitions to know:

• Congruent Triangles (and CPCTC)
• Congruent Polygons
• Circle
• Center of a circle
• Radius of a circle
• Median of a triangle
• Altitude of a triangle
• Scalene Triangle
• Isosceles Triangle
  • Base
  • Base angles
  • Legs
  • Vertex angle
• Equilateral Triangle
• Equiangular Triangle
• Acute Triangle
• Right Triangle
  • Hypotenuse
  • Legs
• Obtuse Triangle

Postulates to know:

• Any segment or anlge is congruent to itselft (Reflexive Property)
• If the 3 sides of one triangle are congruent to the 3 sides of another triangle, then the triangles are congruent (SSS).
• If two sides and their included angle of one triangle are congruent to the corresponding sides and angle in another triangle, then the triangles are congruent (SAS).
• If two angles and their included side of one triangle are congruent to the corresponding angles and side in another triangle, then the triangles are congruent (ASA).
• Two points determine a line, ray or segment (Auxiliary Lines).
• If two sides of a triangle are not congruent, then the angles opposite them are not congruent and the larger angle is opposite the longer side.
• If two angles of a triangle are not congruent then the sides opposite them are not congruent and the longer side is opposite the larger angle.

Theorems to know:

19. All radii of a circle are congruent
20. If two sides of a triangle are congurent, then the angles opposite the sides are congruent (ITT).
21. If two angles of a triangle are congruent, then the sides opposite the angles are congruent (Converse of ITT).
22. 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 (HL).

Constructions to know:

• Median of a triangle
• Altitude of a triangle (both obtuse and acute)