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Questions and Answers
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent according to the LLL criterion.
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent according to the LLL criterion.
True
Two figures are similar if their corresponding sides are congruent and their corresponding angles are proportional.
Two figures are similar if their corresponding sides are congruent and their corresponding angles are proportional.
False
The AIA theorem states that if two angles and a side of one triangle are congruent to two angles of another triangle, the triangles are congruent.
The AIA theorem states that if two angles and a side of one triangle are congruent to two angles of another triangle, the triangles are congruent.
True
Congruence of triangles can be established only through the comparison of angles.
Congruence of triangles can be established only through the comparison of angles.
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There must be a correspondence between the sides of two similar figures.
There must be a correspondence between the sides of two similar figures.
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Study Notes
Congruent Triangles
- Side-Side-Side (SSS): Two triangles are congruent if all three sides of one triangle are equal in length to the corresponding three sides of the other triangle.
- Side-Angle-Angle (SAA): Two triangles are congruent if one side and two angles of one triangle are equal to the corresponding side and two angles of the other triangle.
- Angle-Angle-Side (AAS): Two triangles are congruent if two angles and one side of one triangle are equal to the corresponding two angles and one side of the other triangle.
Similar Triangles
- Similarity: Two figures are similar if their corresponding angles are equal in measure and their corresponding sides are proportional.
- Side-Side-Side (SSS): Two triangles are similar if their corresponding sides are proportional.
- Side-Angle-Side (SAS): Two triangles are similar if two sides of one triangle are proportional to two sides of another triangle and the included angle is congruent.
- Angle-Angle (AA): Two triangles are similar if two angles of one triangle are congruent to two angles of another triangle.
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Description
Test your knowledge on congruent and similar triangles, including the different criteria for their congruence and similarity. This quiz covers concepts like Side-Side-Side, Side-Angle-Angle, and the properties of similar triangles. Perfect for geometry students looking to reinforce their understanding.
