Read Explore and complete the following (adapted from Lesson 3.2). Show all your work. Two geometric figures are congruent if and only if they have the same size, shape, and angle measures. In geometry, the symbol can be used two indicate the two figures are congruent. A landscape architect uses a grid to design the landscape around a mall. Use tracing paper to confirm that the landscape elements are congruent. A Trace planter ABCD. Describe a transformation you can use to move the tracing paper so that planter ABCD is mapped onto planter EFGH. What does this confirm about the planters? A D B Trace pools JKLM and NPQR. Fold the paper so that pool JKLM is mapped onto pool NPQR. Describe the transformation. What does this confirm about the pools? Determine whether the lawns are congruent. Is there a rigid transformation that maps ALMN to ADEF? What does this confirm about the lawns? Reflect 1. How do the sizes of the pairs of figures help determine if they are congruent? B C E H M N K F G P N Q R F M D