What is the definition of congruency in a triangle?
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Curipod lesson about topic "Triangle congruency"
christie.sparks
Updated 3 months ago
1. Word cloud
120 seconds
What is the definition of congruency in a triangle?
2. Slide
60 seconds
Triangles are congruent when all three sides and all three angles of one triangle are equal to the corresponding sides and angles of another triangle. The side-side-side (SSS) theorem helps to determine whether two triangles are congruent. The angle-side-angle (ASA) theorem is also used to find out if two triangles are congruent.
Triangle Congruency
3. Slide
60 seconds
SSS Theorem: The SSS theorem states that if three sides of one triangle are equal to three sides of another triangle, then these two triangles are congruent. ASA Theorem: The ASA theorem states that if two angles and a side of a triangle are equal to two angles and a side of another triangle, then the two triangles are congruent. Congruent Triangles: Two triangles are congruent when all three sides and all three angles of one triangle are equal to the corresponding sides and angles of another triangle.
Concepts:
4. Poll
60 seconds
Do you think the concept of triangle congruency is easy to understand?
- Yes
- No
- Sort of
5. Slide
60 seconds
In Euclidean geometry, two triangles are said to be similar if their corresponding angles are equal and ratios of their corresponding sides are equal. Any triangle can be reflected, rotated, or translated into any other triangle depending on the congruency. Congruency is not only limited to Euclidean geometry. It can be used in spherical geometry as well.
Fun facts:
6. Drawings
450 seconds
Draw / write: What are the criteria for determining if two triangles are congruent?
7. Drawings
360 seconds
Draw / write: What are some of the methods used to prove that two triangles are congruent?
8. Open question
150 seconds
What is the importance of understanding triangle congruency?
9. Open question
330 seconds
How can knowledge of triangle congruency be applied in the real world?
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