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