MEDIUM W V. Give the gift of Numerade. Q. DW} > DY} and 2. Can the following quadrilateral be proven to be a parallelogram based on the given information? Use the distance and/or slope formulas to determine if PQRS is a parallelogram. WX} > YZ x z. All right, so in this question 23 they want us to find the value of X Z. 2D 2 ZR and 2T LI c. DT 1 TR and D7 | TR d DI 8TR and DT = TR 3. What values must x and y have to make the quadralateral a parallelogram… The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. Use the diagram as a guide. ∥ ∥ 2. Given parallelogram, WX} i YZ}, and WZ} i XY}. WXYZ is a parallelogram. statement reason 1. and bisect each other. 522 Chapter 8 Quadrilaterals 8.3Show that a Quadrilateral is a Parallelogram Key Vocabulary •parallelogram, p. 515 Given a parallelogram, you can use Theorem 8.3 and Theorem 8.4 to prove statements about the angles and sides of the parallelogram. Find each measure. A parallelogram has sides of 15 cm and 12 cm. ∠ ywx ≅ ∠wyz corresponding angles of congruent triangles are congruent. View geomery notes 3.docx from MATH 150 at Howard University. Statements Reasons 1. 5 cm. Classify Quadrilateral as parallelogram A classic activity: have the students construct a quadrilateral and its midpoints, then create an inscribed quadrilateral. Then ask the students to measure the angles, sides etc.. of inscribed shape and use the measurements to classify the shape (parallelogram). It is not a parallelogram because the angles of … Consider the diagram and proof below. Given: in quadrilateral wxyz , and bisect each other at point a. prove: quadrilateral wxyz is a parallelogram. given 2. wa = ya xa = za definition of bisection 3. m∠yaz = m∠xaw vertical angles theorem 4. sas criterion for congruence 5. Given 2. Pay for 5 months, gift an ENTIRE YEAR to someone special! In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Given: WXYZ is a parallelogram. No. WXYZ is a parallelogram 1. WXYZ is a parallelogram. On question 4, angles 1 and 4 would not be congruent; they would be complementary, adding to 90º; the others look ok. On #5, the diagonals bisect each other so SX would equal the other half of the diagonal that SX is part of. If the distance between the parallel sides of length 1 5 cm is 6 cm, then the distance between 1 2 cm parallel sides is 7 . Video Transcript. Prove: m∠W = m∠Y, m∠X = m∠Z SOLUTION Statements Reasons 1. 2. Designed with Geometer's Sketchpad in mind . The vertices of quadrilateral PQRS are given below. D I T T R DT ITR and DT = IR b. State the reason that enables you to deduce, from the information given that the quadralateral DIRT is a parallelogram. WXYZ is a 1. Find each measure. Theorem 8.10 DX} >D} Z 3. 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