Problem solving
Download as PPTX, PDF0 likes424 views
Two angles are in different planes but have corresponding sides that are parallel and have the same direction. This means the angles are equal according to the hypothesis. To prove this, students are instructed to draw the figure and consider forming congruent triangles from the lines, which would mean the corresponding angles are equal based on the triangle congruence theorem stating triangles are congruent if their corresponding sides are equal.
1 of 11
Download to read offline
Problem solving
- 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’
- 10. Parallelograms let A to A', B to B', and C to C ‘.