9 Questions
Congruent triangles have the same shape but not necessarily the same size.
True
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
If two corresponding sides of two triangles are congruent, then the triangles are congruent.
False
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.
True
If two corresponding angles of two triangles are congruent, then the triangles are congruent.
False
Congruent triangles will always have the same area and perimeter.
False
Match the congruent triangle postulate with its description:
Side-Angle-Side (SAS) Postulate = 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. Angle-Side-Angle (ASA) Postulate = 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. Hypotenuse-Leg (HL) Postulate = If the hypotenuse and a leg of one right-angled triangle are congruent to the hypotenuse and a leg of another right-angled triangle, the two triangles are congruent. Side-Side-Side (SSS) Postulate = If all three sides of one triangle are congruent to all three sides of another triangle, the two triangles are congruent.
Match the following terms related to congruent triangles with their definitions:
Congruent Triangles = Triangles that have exactly the same size and shape. Corresponding Parts = Matching parts of congruent triangles, including sides and angles. CPCTC = An acronym for 'Corresponding Parts of Congruent Triangles are Congruent', a theorem used to prove other parts of triangles congruent. Triangle Congruence Theorems = Set of rules used to determine when two triangles are congruent based on their angles and sides.
Match the following properties of congruent triangles with their descriptions:
Area and Perimeter = Congruent triangles will always have the same area and perimeter. Shape and Size = Congruent triangles have the same shape but not necessarily the same size. Corresponding Angles = If two corresponding angles of two triangles are congruent, then the triangles are congruent. Corresponding Sides = If two corresponding sides of two triangles are congruent, then the triangles are congruent.
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.
Test your knowledge of congruent triangles with this grade 7 quiz. Explore concepts such as angle-side-angle (ASA) and side-side-side (SSS) criteria for triangle congruence.
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