Corresponding Sides and Angles of Congruent Figures

Start with What Rigid Motions Preserve so students see why rigid motions make congruent figures. Move to the sequence and similarity grids, then close with the angle-angle sheets.

Match vertices of congruent figures and find sides and angles, like 65° and 115°, on the second figure. The directions on the page read: The figures in each row are congruent, and the statement shows which vertices match. Use the measures on the first figure to find the parts of the second. An answer key is included.

Yes, both. We made it for 8th grade transformations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Translations, reflections and rotations keep side lengths and angle measures the same, so the image is congruent to the original. What Rigid Motions Preserve has students measure a trapezoid and its image to check.

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar. The third angles must then match too, because each triangle's angles add up to 180°.

Match the corresponding sides, write a proportion and solve for x. Use Angle-Angle Similarity to Find Missing Sides first asks which two pairs of angles make the triangles similar.