Side lengths and angle measures of congruent figures

Learning Objectives Define congruence in terms of corresponding parts. Identify corresponding sides and corresponding angles of congruent polygons. Write an accurate congruence statement for two congruent polygons. Use the definition of congruence to find the measures of unknown sides and angles. Set up and solve algebraic equations to find unknown side lengths and angle measures in congruent figures. Justify that corresponding parts of congruent figures are equal in measure. Ever wonder how a company can make thousands of identical phone cases that fit your phone perfectly? 📱 It's all about the geometry of congruent figures! In this tutorial, we'll explore congruent figures, which are exact copies of each other in size and shape. You will learn how to use the re...

TermDefinitionExample Congruent FiguresGeometric figures that have the exact same size and shape. All of their corresponding sides and corresponding angles are equal.Two triangles are congruent if one can be moved (through a combination of rotation, reflection, or translation) to fit perfectly on top of the other. Corresponding PartsThe matching sides and angles in two congruent figures. They are in the same relative position in each figure.If △ABC ≅ △DEF, then side AB corresponds to side DE, and angle ∠A corresponds to angle ∠D. Corresponding AnglesAngles that are in the same position in two congruent figures. They always have equal measures.In congruent quadrilaterals ABCD and WXYZ, ∠B corresponds to ∠X, so m∠B = m∠X. Corresponding SidesSides that are in the same position in two congrue...

Property of Corresponding Sides If Polygon ABCDE ≅ Polygon FGHIJ, then AB = FG, BC = GH, CD = HI, etc. Use this rule to find the length of an unknown side. If you know two figures are congruent, you can set the lengths of their corresponding sides equal to each other. Property of Corresponding Angles If Polygon ABCDE ≅ Polygon FGHIJ, then m∠A = m∠F, m∠B = m∠G, m∠C = m∠H, etc. Use this rule to find the measure of an unknown angle. If you know two figures are congruent, you can set the measures of their corresponding angles equal to each other.