Geometry Congruence and Similarity
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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 similar.

False

Two figures are similar if their corresponding angles are congruent and their corresponding sides are proportional.

True

The AIA criterion states that if two angles and a side of one triangle are congruent to two angles of another triangle, then the triangles are congruent.

True

The LLA criterion requires three sides to be congruent in order to determine triangle congruence.

<p>False</p> Signup and view all the answers

There is no relationship between proportion and similarity in geometric figures.

<p>False</p> Signup and view all the answers

Study Notes

Congruence Criteria

  • Side-Side-Side (SSS): Two triangles are congruent if all three sides of one triangle are congruent to all three sides of the other triangle.
  • Side-Angle-Angle (SAA): Two triangles are congruent if one side and two angles of one triangle are congruent to one side and two angles of the other triangle.
  • Angle-Angle-Side (AAS): Two triangles are congruent if two angles and a side of one triangle are congruent to two angles and a side of the other triangle.

Similarity

  • Similarity: Two figures are similar if their corresponding angles are congruent and their corresponding sides are proportional.
  • Corresponding Sides: When two figures are similar, their corresponding sides are proportional. This means that the ratio of the lengths of corresponding sides is the same.
  • Corresponding Angles: When two figures are similar, their corresponding angles are congruent. This means that the angles have the same measure.

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Description

This quiz covers the criteria for triangle congruence, including Side-Side-Side (SSS), Side-Angle-Angle (SAA), and Angle-Angle-Side (AAS). It also explores the concept of similarity, focusing on the relationships between corresponding angles and sides in similar figures.

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