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7-2 Review Conditions are given. Will all triangles satisfying the same conditions be congruent? Use one of the four theorems to justify your answer. 1. In triangle JTP, m<T = 66°, m<P = 51°, TP = 3 cm 2. In triangle HOG, m<H = 53°, m<O = 47°, and m<G = 80° 7-2 Review Conditions are given. Will all triangles satisfying the same conditions be congruent? Use one of the four theorems to justify your answer. 1. In triangle JTP, m<T = 66°, m<P = 51°, TP = 3 cm Yes, SAS 2. In triangle HOG, m<H = 53°, m<O = 47°, and m<G = 80° No, AAA does not work Quote of the Day “A good hockey player plays where the puck is. A great hockey player plays where the puck is going to be.” -Wayne Gretzky B day Grade pages 375-377 2, 5-13, 15-18, 20-24 A day Collect Master 7-3 B 7-7 Properties of Parallelograms 1. 2. 3. Opposite sides are congruent. Opposite angles are congruent. The diagonals intersect at their midpoints. Example In parallelogram WXYZ, WQ = 4, XQ = 6, and YZ = 7. W X Q Z Y Find QY and WX. No name Theorem (?) “The distance between parallel lines is constant.” A B C D AC = BD Symmetry in Parallelograms 1. Every parallelogram has 2-fold rotation symmetry. 2. Parallelograms are not necessarily reflection-symmetric (unless they are a rectangle, rhombus, or square). Example Find x and y. 6x + 9 R Y 2y 4 N A 2–x 2 - x = 6x + 9 2 = 7x + 9 -7 = 7x -1 = x 4 = 2y 2=y Assignment Do Master 7-7 B (skip 5c) Do pages 408-409 8-13 Both due at the end of the hour. 1. 2. Watch Space Station 3D Answer the 2 questions on a half sheet and turn in to Mr. Feldkamp. What mini-experiments should we do on our weightless flight? (i.e. slinky, gyro, top, other toy…) What question do you have about being in zero G? What would you like to try if you could do it?