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Geometry Lesson 8-6: Identify Special Quadrilaterals Learning Target: By the end of today’s lesson we will be able to successfully identify special quadrilaterals. Example 1: Quadrilateral ABCD has both pairs of opposite sides congruent. What types of quadrilaterals meet this condition? There are many possibilities … ________________ ________________ _______________ Opposite sides are congruent. ______________ All sides are congruent. Example 2: Quadrilateral JKLM has both pairs of opposite angles congruent. What types of quadrilaterals meet this condition? Example 3: Relying only on the marked information, give the most specific name for each quadrilateral. a.) b.) Example 4: Is enough information given in the diagram to show that quadrilateral FGHJ is an isosceles trapezoid? Explain. Step 1: Show that FGHJ is a _______________. G and H are ______ but F and G are not. So, _______ || _______, but FJ is not _______ to GH. By definition, FGHJ is a ________________. Step 2: Show that trapezoid FGHJ is ________________. F and G are a pair of congruent ____________. So, FGHJ is an _________________________________by Theorem 8.15. Example 5: Is enough information given in the diagram to show that quadrilateral BCDE is a rectangle? Explain.