Congruence and similarity worksheet with answers pdf 2026

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  1. Click ‘Get Form’ to open the congruence and similarity worksheet in our editor.
  2. Begin by entering your name and the date at the top of the worksheet. This personalizes your document and keeps it organized.
  3. For each question, read carefully. For example, in question 1, determine if the triangles are similar by analyzing their angles and sides. Select 'Yes' or 'No' as appropriate.
  4. If you answered 'Yes' for question 1, write a similarity statement in the provided space using the triangle notation (e.g., ∆PQR ~ ∆STU).
  5. Proceed to questions 2 through 4, where you will find missing lengths. Use proportional reasoning based on the given dimensions to fill in these blanks.
  6. Once completed, review your answers for accuracy before saving or sharing your filled-out worksheet.

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If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
For example, two triangles whose corresponding sides and angles are proportional would be considered similar. If they look like theyre the same shape, just different sizes, they are said to be similar. When they are also congruent, they are not only the same shape, but also the same size.

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Two shapes are said to be congruent if they are the same shape and size: that is, the corresponding sides of both shapes are the same length and corresponding angles are the same. The two triangles shown here are congruent. Shapes which are of different sizes but which have the same shape are said to be similar.
Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them - their angles, lengths of sides, overall dimensions - are identical. Similar figures have the same shape and proportions but are not necessarily the same size.
Two triangles are said to be congruent if all the sides of a triangle are equal to all the corresponding sides of another triangle.
Definition. Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
Images or shapes that are exactly the same shape and size are called congruent. If two shapes are congruent, their corresponding sides are the same length and their corresponding angles are equal.

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