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Questions and Answers
Congruent triangles have the same shape but not necessarily the same size.
Congruent triangles have the same shape but not necessarily the same size.
True (A)
In a triangle, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent.
In a triangle, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent.
True (A)
If two corresponding sides of two triangles are congruent, then the triangles are congruent.
If two corresponding sides of two triangles are congruent, then the triangles are congruent.
False (B)
In a triangle, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the two triangles are congruent.
In a triangle, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the two triangles are congruent.
If two corresponding angles of two triangles are congruent, then the triangles are congruent.
If two corresponding angles of two triangles are congruent, then the triangles are congruent.
Congruent triangles will always have the same area and perimeter.
Congruent triangles will always have the same area and perimeter.
Match the congruent triangle postulate with its description:
Match the congruent triangle postulate with its description:
Match the following terms related to congruent triangles with their definitions:
Match the following terms related to congruent triangles with their definitions:
Match the following properties of congruent triangles with their descriptions:
Match the following properties of congruent triangles with their descriptions:
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Study Notes
Congruent Triangles
- Congruent triangles have the same shape, but not necessarily the same size.
Conditions for Congruent Triangles
- If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent.
- If two corresponding sides of two triangles are congruent, then the triangles are congruent.
- If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the two triangles are congruent.
- If two corresponding angles of two triangles are congruent, then the triangles are congruent.
Properties of Congruent Triangles
- Congruent triangles will always have the same area.
- Congruent triangles will always have the same perimeter.
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