GEO: Ch6 - Polygons & Quad. Properties (Maynard)

6.1 Which words correctly complete the statement above? A regular polygon is a polygon with _____________ side lengths congruent and _______________ angle measures congruent. no, all all, no all, all no, no Which figure is concave? 6.1 All interior angles of a convex pentagon sum to _______.? 6.1 180 degrees 360 degrees 540 degrees 720 degrees 6.1 The exterior angles of a convex polygon sum to (Please just put the number, no label.) degrees. 6.1 What is the measure of angle degrees 6.1 Find the angle measure of each interior angle of a regular, convex octagon. degrees regular, convex heptagon irregular, convex heptagon irregular, concave hexagon 6.1 Which best describes the figure? irregular, concave heptagon 6.1 (No spaces or commas in your answer please.) Find the measure of all interior angles of a regular 40-gon. degrees 6.2 If a quadrialteral is a paralellogram, then it's opposite sides are perpendicular and congruent parallel and half the measure parallel and congruent skew and congruent 6.2 If a quadrilateral is a parallelogram, then it's opposite angles are congruent complementary always right always obtuse 6.2 If a quadrialteral is a parallelogram, then it's consecutive angles are always supplementary always congruent always complementary 6.2 If a quadrilateral is a parallelogram, then its diagonals never intersect bisect each other are always congruent form right angles 6.2 What are the following lengths? b) FJa) FG inches inches 15.5 in 6.5 in 6.2 A What is the length of AB? 35 B 13 6.2 Figure ABCD is a parallelogram. Find each value.a) Find the value of x. b) Find BD. c) Find CE.inches inches 6.2 A Given parallelogram x' B 23' z' y' D 110' C z= y= x = C 6.2
A 130 ^{∘}(2x+10) D B x = y = ABCD is a parallelogram.6.3 True or False?
In a quadrilateral, if one pair of opposite sides are both parallel and congruent, then the figure is a parallelogram. Please type either T or F. 6.3 True or False?
In a quadrilateral, if the diagonals create a right angle, then the figure is a parallelogram. Please type either T or F. 6.3 P Given the information above, the figure is a parallelogram. 55 ^{∘}YES O 125 ^{∘} NO T 55 ^{∘}R 6.3 S The figure above is a parallelogram. YES K 130 ^{∘}130 ^{∘} NO P I 6.3 C The figure, CAKE, above is a parallelogram.YES E NO A K 6.3 Based on the given information, can you prove the figure is a parallelogram? yes, 2 opp. sides are parallel & congruent no, not enough information yes, diagonals are congruent yes, diagonals bisect each other 6.3 S Parallelogram S NOW is drawn above. Find WO.W (8 p - 6)(4 p + 14)N (2 p+10)O units 6.4 Given the following rectangle, Find the value of x. 5 3x 75 5 10 25 20 5 6.4 A quadrilateral with four congruent sides and four right angles is a..... rhombus square kite parallelogram Which statement is true? All quadrilaterals are squares. All rectangles are squares. All squares are quadrilaterals. All quadrilaterals are parallelograms. 6.4 Is the Venn diagram true or false? parallelogram square True False A square is a rectangle. 6.4 sometimes, always, never
b) The value of y. a) LKc) Using your answer from part b, what is the measure of ∡ units degrees 6.4 6.4 Karlie's grandmother is making her a pillow for her birthday. She wants to sew four different colored ribbons from the corner to the center of the pillow. (One color coming from each corner.) If the pillow is 12 by 16 inches, how long will each ribbon be?
inches 6.4 How would you best classify segment segment only perpendicular only congruent congruent, perpendicular bisectors only congruent bisectors, not perpendicular 6.5 If a parallelogram has diagonals that are congruent, then it is a Square Rectangle Rhombus Quadrialteral 6.5 If a parallelogram has one set of consecutive sides congruent, then it is a Square Rectangle Rhombus Quadrialteral 6.5 If a parallelogram has one diagonal that bisects a pair of opposite angles, then it is a Square Rectangle Rhombus Quadrialteral A rhombus is a parallelogram. 6.5 sometimes, always, never 6.5
P (-1, 3) Q (-2, 5) R (0, 4) S (1, 2) Rectangle, Rhombus and Square Rectangle only Rhombus only Rectangle and Square, but not Rhombus 6.5 True False 6.5 A D B C ABCD is a rhombus. True False
The words square, rectangle and rhombus need to go in the blanks below. Use each word only one time. perpendicularcongruent
6.5 B A C D Given the markings on the figure, it is a Trapezoid Kite Rhombus 6.6 6.6 B A C D If CD = 5, then CB = If BA = 12, then DA = If the measures are as above, what is the perimeter of the kite? Are the following shapes trapezoids? yes or no 6.6 6.6 46 x The isosceles trapezoid is part of an isosceles triangle with vertex 46'. What is the measure of the acute base angle of the trapezoid? 134 113 46 67 6.6 Place the following in their correct category. Use each word only once. Exactly one pair of parallel sides Four right angles rectangle rhombus Exactly one pair of congruent opposite angles Four congruent sides kite trapezoid 6.6
= BCD 98°, and m∡= ADE 47°.
a) m∡DAE = b) m∡BCE = c) m∡ABC = 6.6 H In trapezoid E A F G 6.6 Find x.78 ^{∘}x^{∘}6.6 Find the following measures. a) LM b) RL c) RN d) PM P N L R M 6.6 What is the length of EF? 11.5 8.5 6.6 What is m∡PAR? P (2x ^{2}-20)^{∘}A R degrees (x ^{2}+44)^{∘}T Answer yes or no if the rule applies to the figure. Diagonals are congruent.Square: Rectangle: Rhombus: Parallelogram: Kite: Trapezoid: Isosceles Trapezoid: Answer yes or no if the rule applies to the figure. Opposite sides are congruentSquare: Rectangle: Rhombus: Parallelogram: Kite: Trapezoid: Isosceles Trapezoid: Answer yes or no if the rule applies to the figure. Diagonals bisect each other.Square: Rectangle: Rhombus: Parallelogram: Kite: Trapezoid: Isosceles Trapezoid: Answer yes or no if the rule applies to the figure. Diagonals are perpendicular.Square: Rectangle: Rhombus: Parallelogram: Kite: Trapezoid: Isosceles Trapezoid: In quadrilateral WXYZ all four sides are congruent and both pairs of opposite sides are parallel. Quadrilateral WXYZ must be a: Square Parallelogram Rectangle Rhombus The diagonals of a certain paralleogram are the perpendicular bisectors of each other. The quadrilateral must be a... Square Rhombus Rectangle Trapezoid One diagonal of a certain parallelogram bisects the angles whose vertices it connects. No information is given about the other diagonal. Which of the following must the parallelogram be? Trapezoid Square Rectangle Rhombus |

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