Rhombus, Rectangle, Square Properties of Parallelograms

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Parallelogram A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect.

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Presentation transcript:

Rhombus, Rectangle, Square Properties of Parallelograms Is this a Parallelogram? Trapezoids 10 10 10 10 20 20 20 20 30 30 30 30 40 40 40 40 DOUBLE JEOPARDY

Is This a Parallelogram - 10 Is this a parallelogram? Justify your answer. Yes. Two pairs of opposite sides are congruent. BACK

Is This a Parallelogram - 20 Is this a parallelogram? Justify your answer. BACK Yes. Diagonals bisect each other.

Is This a Parallelogram – 30 Is this a parallelogram? Justify your answer. No. Only one pair of opposite sides are parallel/congruent. BACK

Is This a Parallelogram - 40 Is this a parallelogram? Justify your answer. Yes. Alternate interior angles make two pairs of opposite sides parallel. BACK

Properties of Parallelograms - 10 Solve for x. (9x + 17)° (8x + 10)° x = 9 BACK

Properties of Parallelograms - 20 Solve for x and y. 4x + 11 5x + 3 6y - 4 9x + 6 x = 1 y = 2 BACK

BACK m1 = 75 m3 = 70 m2 = 35 m4 = 35 Properties of Parallelograms - 30 Solve for all numbered angles. 2 1 3 70º 4 75º m1 = 75 m3 = 70 m2 = 35 m4 = 35 BACK

Properties of Parallelograms - 40 Solve for x and y. 3x - 9 8x 5x + 2y x + 3 x = 6 y = 9 BACK

BACK x = 7 y = 5 Rhombus, Rectangle, Square - 10 In this square, solve for x and y. 8x - 11 9y 7x - 4 x = 7 y = 5 BACK

BACK m1 = 64 m3 = 26 m2 = 64 m4 = 90 Rhombus, Rectangle, Square - 20 In this rhombus, solve for all numbered angles. 1 2 3 4 26° m1 = 64 m3 = 26 m2 = 64 m4 = 90 BACK

BACK m1 = 124 m3 = 62 m5 = 28 m2 = 62 m4 = 28 Rhombus, Rectangle, Square - 30 In this rectangle, solve for all numbered angles. 4 1 56° 3 2 5 m1 = 124 m3 = 62 m5 = 28 m2 = 62 m4 = 28 BACK

BACK x = 4 y = 6 Rhombus, Rectangle, Square - 40 In this rectangle, solve for x and y if CA = 20. C B x + 6 E 3y - 8 D A x = 4 y = 6 BACK

Solve for x in this isosceles trapezoid. Trapezoids - 10 Solve for x in this isosceles trapezoid. 7x + 1 11x - 18 5x 10x + 16 x = 3 BACK

Solve for all numbered angles in this isosceles trapezoid. Trapezoids - 20 Solve for all numbered angles in this isosceles trapezoid. 29º 4 1 3 68º 2 m1 = 83 m3 = 39 m2 = 29 m4 = 112 BACK

Given EF is the median of trapezoid ABCD. Solve for x. Trapezoids - 30 Given EF is the median of trapezoid ABCD. Solve for x. 12x + 5 10x + 1 7x + 2 x = 5 BACK

Solve for all numbered angles, if mMHT = 120. Trapezoids - 40 Solve for all numbered angles, if mMHT = 120. A M 34º 2 5 m1 = 112 m2 = 34 m3 = 68 m4 = 86 m5 = 26 1 3 4 H T BACK

BACK x = -3 y = 6 DOUBLE JEOPARDY Solve for x and y. 2x + 3y 15 x + 3y 12 x = -3 y = 6 BACK