This section explores the meaning of congruent polygons using a simulation to match congruent figures.

  1. Click on the link below to access the Congruent Polygons applet and explore polygon congruency by clicking on a polygon to see how it moves to create the congruent figure.

    This activity might not be viewable on your mobile device.For this interactive activity, assistance may be required. Congruent Polygons


    Source: Congruent Polygons, Math Open Reference
  2. For this interactive activity, assistance may be required. Drag one of the shapes on the left over a shape on the right that appears to be congruent. Congruent shapes will merge.
  3. For this interactive activity, assistance may be required. Click on the true conjectures below.

  4. Review the correct conjectures. Write a statement in your notes describing your conclusion.
    Interactive popup. Assistance may be required.

    Click here to see a statement with correct conjectures.

    Congruent polygons have the same number of sides and all corresponding parts are congruent or have the same measure. Close Pop Up

Corresponding Parts of Congruent Polygons

When identifying corresponding, congruent parts of congruent polygons, always write the letters of the corresponding vertices in order so as to show the congruent angle and congruent side congruence. 

Example:  Given ABCD ≅ EFGH (The order of the vertices in the name identifies the corresponding parts of the congruent polygons.)

  1. For this interactive activity, assistance may be required. Match the corresponding parts of the polygons.

  2. Use the biconditional statement - Polygons are congruent if, and only if, their corresponding parts are congruent -and the information above to complete the statements below. Click on the blanks to check your answers.

    If polygons are congruent, then __________________.

    If the corresponding parts of polygons are congruent, then __________________.