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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°.
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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 • 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 • Every parallelogram has 2-fold rotation symmetry. • Parallelograms are not necessarily reflection-symmetric (unless they are a rectangle, rhombus, or square).
Example • Find x and y. 6x + 9 R Y 4 2y N A 2 – x 2 - x = 6x + 9 2 = 7x + 9 4 = 2y -7 = 7x 2 = y -1 = x
Assignment • Do Master 7-7 B (skip 5c) • Do pages 408-409 8-13 Both due at the end of the hour. • 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?