Lesson 5.05 KEY Main Idea (page #) DEFINITION OR SUMMARY Congruent Quadrilaterals (P1) Two quadrilaterals are congruent if all corresponding segments are CONGRUENT in length. Similar Quadrilaterals (P4) Two quadrilaterals are similar if all corresponding segments are PROPORTIONAL to one another. EXAMPLE or DRAWING Lesson 5.05 KEY Distance Formula Used to determine if quadrilaterals are SIMILAR or CONGRUENT. Sqrt[(x2-x1)^2+(y2-y1)^2] Are these rhombi congruent? Remember that a rhombus has all 4 sides equal. We just need to check ONE side for each figure to see if the two figures are congruent….. Distance AB = √(8-5)2 + (7-9)2 = √(3)2 + (-2)2 = √9 + 4 = √13 Distance EH = √(9-5)2 + (2-3)2 = √(4)2 + (-1)2 =√16 + 1 = √17 YES or NO Lesson 5.05 KEY Watch the video! (P5) ORDER matters when identifying corresponding segments and writing the ratios of similar quadrilaterals. Parallelogram ABCD is similar to Parallelogram EFGH.
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