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Chapter 4
Overview for Test
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1. Name 5 ways to prove triangles are congruent.
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2. See problems like 3-8 on 4-1 to 4-3 Quiz.
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3. Know the terms!
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4. Section 4-5 Isosceles and Equilateral triangles
(Find missing side lengths and angle measures. )
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5. Proofs!! See 4-1 to 4-3 Quiz and review all proofs. And, don’t forget CPCTC
and HL.
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6. Overlapping Triangles (Section 4-7)
Things to look for in a proof to get congruent sides or congruent angles:
1. Always look for a shared side (Reflexive Property) or vertical angles (Vertical
Angles Theorem) first. These are things that you can conclude from the diagram
without any additional information given.
2. A midpoint divides a segment into two congruent segments (Defn. of a Midpoint).
3. A bisector divides either a segment or an angle into two congruent parts (Defn. of
Segment Bisector or Defn. of Angle Bisector).
4. If two segments are parallel, you should look for corresponding angles
(Corresponding Angles Theorem) or alternate interior angles (Alternate Interior
Angles Theorem) that will be congruent.