1. Lesson:
6.2 Tests for Parallelograms
Pages:
298 – 300
Objectives:
To Identify the 5 CONDITIONS that GUARANTEE
that a QUADRILATERAL is a PARALLELOGRAM
To Use the 5 CONDITIONS to SOLVE Problems

2. GEOMETRY 6.2
IF a Quadrilateral is a Parallelogram
THEN:

3. GEOMETRY 6.2
IF a Quadrilateral is a Parallelogram
THEN:
1. OPPOSITE SIDES are PARALLEL

4. GEOMETRY 6.2
IF a Quadrilateral is a Parallelogram
THEN:
1. OPPOSITE SIDES are PARALLEL
2. OPPOSITE SIDES are CONGRUENT.

5. GEOMETRY 6.2
IF a Quadrilateral is a Parallelogram
THEN:
1. OPPOSITE SIDES are PARALLEL
2. OPPOSITE SIDES are CONGRUENT.
3. OPPOSITE ANGLES are CONGRUENT.

6. GEOMETRY 6.2
IF a Quadrilateral is a Parallelogram
THEN:
1. OPPOSITE SIDES are PARALLEL
2. OPPOSITE SIDES are CONGRUENT.
3. OPPOSITE ANGLES are CONGRUENT.
4. CONSECUTIVE ANGLES are SUPPLEMENTARY.

7. GEOMETRY 6.2
IF a Quadrilateral is a Parallelogram
THEN:
1. OPPOSITE SIDES are PARALLEL
2. OPPOSITE SIDES are CONGRUENT.
3. OPPOSITE ANGLES are CONGRUENT.
4. CONSECUTIVE ANGLES are SUPPLEMENTARY.
5. DIAGONALS Bisect each other.

8. GEOMETRY 6.2
Which, if any, of the Properties of a Parallelogram
PROVE that a Quadrilateral IS a Parallelogram?

9. GEOMETRY 6.2
IF a QUADRILATERAL has OPPOSITE SIDES
that are PARALLEL
Is it a PARALLELOGRAM?

10. GEOMETRY 6.2
IF a QUADRILATERAL has OPPOSITE SIDES
that are PARALLEL
Is it a PARALLELOGRAM?
YES – the DEFINITION of a PARALLELOGRAM
is a Quadrilateral for which
OPPOSITE SIDES are Parallel!

11. GEOMETRY 6.2
IF a QUADRILATERAL has
ONE PAIR of OPPOSITE SIDES that are CONGRUENT,
Is it a PARALLELOGRAM?

12. GEOMETRY 6.2
IF a QUADRILATERAL has
ONE PAIR of OPPOSITE SIDES that are CONGRUENT,
Is it a PARALLELOGRAM?
Can you DRAW a COUNTEREXAMPLE?

13. GEOMETRY 6.2
IF a QUADRILATERAL has
BOTH PAIR of OPPOSITE SIDES that are CONGRUENT,
Is it a PARALLELOGRAM?
Is there a COUNTEREXAMPLE?

14. GEOMETRY 6.2
IF a QUADRILATERAL has
BOTH PAIR of OPPOSITE SIDES that are CONGRUENT,
Is it a PARALLELOGRAM?
Is there a COUNTEREXAMPLE?
Can you PROVE it?

16. GEOMETRY 6.2
IF a QUADRILATERAL has
ONE PAIR of OPPOSITE ANGLES that are CONGRUENT,
Is it a PARALLELOGRAM?
Is there a COUNTEREXAMPLE?
Can you PROVE it?

17. GEOMETRY 6.2
IF a QUADRILATERAL has
BOTH PAIRs of OPPOSITE ANGLES that are CONGRUENT,
Is it a PARALLELOGRAM?
Is there a COUNTEREXAMPLE?
Can you PROVE it?

18. GEOMETRY 6.2
GEOMETRY 6.2
Given: Angles T and R are Congruent
Angles Q and S are Congruent
Prove: QRST is a Parallelogram

19. GEOMETRY 6.2
IF a QUADRILATERAL has
DIAGONALS that Bisect each other,
Is it a PARALLELOGRAM?
Is there a COUNTEREXAMPLE?
Can you PROVE it?

20. GEOMETRY 6.2

21. GEOMETRY 6.2
IF a QUADRILATERAL has
ONE PAIR of OPPOSITE SIDES that is BOTH
PARALLEL and CONGRUENT,
Is it a PARALLELOGRAM?
Is there a COUNTEREXAMPLE?
Can you PROVE it?

22. GEOMETRY 6.2

23. GEOMETRY 6.2

24. GEOMETRY 6.2

25. GEOMETRY 6.2

26. GEOMETRY 6.2

27. GEOMETRY 6.2

28. GEOMETRY 6.2

29. GEOMETRY 6.2

30. GEOMETRY 6.2

31. GEOMETRY 6.2

32. Geometry 6.2
You should be able to:
Determine is a Quadrilateral is a PARALLEOGRAM
Determine if a CONDITION defines a PARALLELOGRAM