Segment and Angle Congruence Theorems
I.SectionObjectives
- Understand basic congruence properties.
- Prove theorems about congruence.
II.ProblemSolvingActivity-AngleorSegment?
- For this problem solving activity, you will need to prepare a set of cards with angle statements and a set of
cards with segment statements. - Use numbers or letters to mark each card. Then you will know which statements the students were working
with. - Write each angle statement as reflexive, symmetric or transitive.
- Write each segment statement as reflexive, symmetric or transitive.
- Students are going to each be given a card with either an angle statement or a segment statement on it.
- Remind students to label their work with a letter or number that matches the card that they have been given.
- Then the students need to write out the property for the card and draw a diagram that illustrates the statement
on the card. - Students will need rulers, pencils and protractors for this assignment.
- All work should be accurate and measured.
- Allow a certain amount of time for this first card, when finished, ask the students to pass the card to a neighbor
and repeat this assignment. You want the students to each work on two different angle cards and two different
segment cards. - This will help to secure student understanding.
- Have students share their work in small groups when finished.
III.MeetingObjectives
- Students will understand basic congruence properties.
- Students will prove basic congruence properties through diagrams and group discussions.
IV.NotesonAssessment
- Collect student work.
- Check each student’s work for accuracy and offer written feedback.
Proofs about Angle Pairs
I.SectionObjectives
- State theorems about special pairs of angles.
- Understand proofs of the theorems about special pairs of angles.
- Apply the theorems in problem solving.
II.ProblemSolvingActivity-JudgesTable
- Before explaining the activity, select four students to serve as judges.
Chapter 5. Geometry TE - Problem Solving