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Prove that such angles are equal.
The Hypothesis :
Two angles are in different
planes but each side of one is
parallel to the corresponding
side of the other, and has also
the same direction
The Conclusion :
The angles are equal
The students are asking to
draw the figure consider
hypothesis.
And the figure like below :
Consider the figure, the
teacher ask “what is the
hypothesis and conclusion ?”
Consider the conclusion,
students are asking to think of
a familiar theorem having the
same or a similar conclusion,
“ If two triangles are congruent,
the corresponding angles are
equal.”
 Teacher give direction to
student about a pair of
congruent triangles. And
student can make triangles
from the figure 4 :
New aim at a conclusion
“Two triangles are congruent
if only if the three sides of
the one are equal
respectively to the three
sides of the other.”
If we knew that BC = B’C’
Parallelograms let A to A', B to B', and C to C ‘.
Problem solving

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Problem solving

  • 1.
  • 2. Prove that such angles are equal.
  • 3. The Hypothesis : Two angles are in different planes but each side of one is parallel to the corresponding side of the other, and has also the same direction The Conclusion : The angles are equal
  • 4. The students are asking to draw the figure consider hypothesis. And the figure like below :
  • 5. Consider the figure, the teacher ask “what is the hypothesis and conclusion ?”
  • 6. Consider the conclusion, students are asking to think of a familiar theorem having the same or a similar conclusion, “ If two triangles are congruent, the corresponding angles are equal.”
  • 7.  Teacher give direction to student about a pair of congruent triangles. And student can make triangles from the figure 4 :
  • 8. New aim at a conclusion “Two triangles are congruent if only if the three sides of the one are equal respectively to the three sides of the other.” If we knew that BC = B’C’
  • 9.
  • 10. Parallelograms let A to A', B to B', and C to C ‘.