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Honors Geometry Chapter 6 Review6.1 – Angles of Polygons*** Know the formulas for the measures of the sum and individual interior and exterior angles of a polygon. Also, know the name for polygons from n=3-10 and 12A convex octagon has interior angles with measures (x + 55)°, (3x + 20)°, 4x°, (4x – 10)°, (6x – 55)°, (3x + 52)°, 3x°, and (2x + 30)°. Find the value of x.If the measure of each interior angle of a regular polygon is 176 find the number of sides in the polygon.3. Find the measure of each exterior angle of a regular 100-gon.BonusThe measure of each interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.6.2 – Parallelograms/6.3 – Tests for Parallelograms427736014478000*** Know and be able to apply the properties of a parallelogram1. Complete a flow proof below.Given: AB?CD and BC?ADProve: ABCD is a parallelogram (by definition)2. Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices X(3, 0), Y(3, 8), Z(–2, 6), and W(–2, –2).If the slope of AB is 12, the slope of BC is –4, and the slope of CD is 12, find the slope of DA so that ABCD is a parallelogram.359473522200The perimeter of parallelogram ABCD is 22. Find the value of x, y, w and the length of AD? 45086777377800Determine whether ABCD is a parallelogram. Justify your answer. 17012112533100Write a two-column proof6.4 – Rectangles*** Know and be able to apply the properties of rectangles38277218338400For rectangle ABCD, find the value of x. 2. ABCD is a rectangle with B(–7, 3), C(5, 3), and D(5, –8). Find the coordinates of A.6.5 – Rhombi and Squares*** Know and be able to apply the properties of rhombi and squaresABCD is a rhombus with diagonals intersecting at E. If m∠ABC is four times m∠BAD, find m∠EBC.35938055183300For rhombus GHJK, find m∠1.The diagonals of square ABCD intersect at E. If AE = 3x – 4 and BD = 10x – 48, find AC.6.6 – Trapezoids and Kites*** Know and be able to apply the properties of trapezoids and kitesABCD is a quadrilateral with A(8, 21), B(10, 27), C(26, 26), and D(18, 2). Determine whether ABCD is a trapezoid. Justify your answer.3937635174669For isosceles trapezoid MNOP, find m∠MNQ. The length of the median of trapezoid EFGH is 17 centimeters. If the bases have lengths 2x + 4 and 8x – 50, find the value of x.382333531145For kite ABCD, if RA = 15, and BD = 16, find AD. Coordinate Proofs:Enrichment:Know how to do complete a question like each one on the enrichment assignments for this chapter. Tangrams: Tessellations:Darts: Proving a shape is a parallelogram: Answers6.1 1. 382. 90 sides3. 3.6Bonus: 90 sides6.2/6.3-291465271145001. 2. (.5, 3)3. -44. x=2, y=3, w=-1, AD=45. yes, one set of sides is parallel and congruent.6. You can write this as a two-column proof.6.41. 82. A(-7, -8)6.51. 722. 383. 526.61. Yes, ABCD has only one pair of parallel sides2. 163. 84. 1762357018732500Proofs ................
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