Review Jeopardy Shape Jeopardy gram Rectangle Rhombus Square
Review Jeopardy
Shape Jeopardy //gram Rectangle Rhombus Square Trapezoid Segments Segments Angles Angles Other Other 2 pts 5 pts 10 pts
Shape Jeopardy Parallelogram side A B E D C If AB = 12 and AE = 6, find DC and EC.
Parallelogram side A B E D C If AB = 12 and AE = 6, find DC and EC. Opposite sides are congruent so DC = 12 Diagonals bisect each other so EC = 6
Shape Jeopardy Parallelogram side A B E D C If BD = 14 and AB = 10, find BE and DC
Parallelogram side A B E D C If BD = 14 and AB = 10, find BE and DC Diagonals bisect each other, so BE = 7 Opposite sides are congruent, so DC = 10
Shape Jeopardy Parallelogram side A B E D C If AB = 2 x + 1 and DC = 4 x – 19, find x.
Parallelogram side A B E D C If AB = 2 x + 1 and DC = 4 x – 19, find x. Since opposite sides are congruent, then AB = DC 2 x + 1 = 4 x - 19 1 = 2 x - 19 20 = 2 x 10 = x
Shape Jeopardy Determine whether the figure with vertices -5, 3), B(-1, 5), C(6, 1), and D(2, -1) is a parallelogram? Use the distance and slope formula. A(
Determine whether the figure with vertices A( -5, 3), B(-1, 5), C(6, 1), and D(2, -1) is a YES parallelogram? Use the distance and slope formula. If the same pair of sides are congruent and parallel, then the quadrilateral is a parallelogram.
Shape Jeopardy Parallelogram angles A B E D C If m<BAD = 110, find m<BCD
Shape Jeopardy Parallelogram angles A B E D C If m<BAD = 110, find m<BCD Opposite angles are congruent so m<BCD = 110
Shape Jeopardy Parallelogram angles A B E D If m<ABC = 65, find m<BCD C
Shape Jeopardy Parallelogram angles A B E D C If m<ABC = 65, find m<BCD Consecutive interior angles are supplementary, so m<BCD = 180 – 65. m<BCD = 115
Shape Jeopardy Parallelogram angles A (6 y – 57)° D (3 y + 36)° C Solve for y. B
Shape Jeopardy Parallelogram angles A (6 y – 57)° D Solve for y. B (3 y + 36)° C Opposite angles are congruent so m<A = m<C. 6 y – 57 = 3 y + 36 y = 31 3 y – 57 = 36 3 y = 93
Shape Jeopardy Parallelogram angles A B E D C m<ABD = 5 x – 19 and m<BCD = 5 x + 9, find m<BAD.
Shape Jeopardy A B E D C m<ABC = 5 x – 19 and m<BCD = 5 x + 9, find m<BAD. Consecutive interior angles are supplementary, so m<ABC + m<BCD = 180 Wants m<BAD 5 x – 19 + 5 x + 9 = 180 m<BAD = m<BCD 10 x – 10 = 180 x = 10 m<BAD = 5(10) + 9 10 x = 190 m<BAD = 59
Shape Jeopardy Find an interior angle of a regular octagon.
Shape Jeopardy Find an interior angle of a regular octagon.
Shape Jeopardy Rectangle segments A B E D If AE = 10 inches, then DE = ? C
Shape Jeopardy Rectangle segments A B E D C If AE = 10 inches, then DE = ? Diagonals are congruent and diagonals bisect each other, so AE = DE. Therefore, DE = 10 inches
Shape Jeopardy Rectangle segments A B E D C If AC = 30 – x and BD = 4 x – 60, find x.
Shape Jeopardy Rectangle segments A B E D C If AC = 30 – x and BD = 4 x – 60, find x. Diagonals are congruent so AC = BD. 30 – x = 4 x - 60 30 = 5 x - 60 90 = 5 x 18 = x
Shape Jeopardy Rectangle segments A B E D C If DE = 5 x – 3 and EC = 4 x + 6, find DB.
Shape Jeopardy Rectangle segments A B E D C If DE = 5 x – 3 and EC = 4 x + 6, find DB. Since diagonals are congruent and bisect each other, then DE = EC. Wants DB 2(42) 5 x – 3 = 4 x + 6 2(DE) = DB x– 3=6 DB = 84 x=9 2[5(9) – 3]
Shape Jeopardy Rectangles A B E D What is the measure of m<BAC? C
Shape Jeopardy Rectangles A B E D C What is the measure of m<BAC? Since it is a rectangle, all angles are right angles.
Shape Jeopardy Rectangles A B E D If m<BAC = 50°, find m<BCA. C
Shape Jeopardy Rectangles A B E D If m<BAC = 50°, find m<BCA. C All angles are right angles and opposite angles are congruent. Also, alternate interior angles are congruent, so m<BAC = m<DCA and m<DAC = m<ACD. Also, m<BAC + m<DAC = 90 m<BCA = 90 - 50 m<BCA + m<BAC = 90 m<BCA = 40
Shape Jeopardy Rectangles A B E D C If m<DAC = 2 x – 3 and m<BAC = x + 5, find x.
Shape Jeopardy Rectangles A B E D C If m<DAC = 2 x – 3 and m<BAC = x + 5, find x. Since all angles are right angles, then m<BAC + m<DAC = 90. 2 x – 3 + x + 5 = 90 3 x = 88 3 x + 2 = 90 x = 29. 33
Shape Jeopardy Find an exterior angle of a regular nonagon.
Shape Jeopardy Find an exterior angle of a regular nonagon. The sum of the exterior angles of any polygon is 360.
Shape Jeopardy Rhombus segments A B E D If AD = 22, find DC. C
Shape Jeopardy Rhombus segments A B E D C If AD = 22, find DC. Since all sides are congruent, then AD = DC, so DC = 22
Shape Jeopardy Rhombus segments A B E C D If AB = 13 and BC = 2 x + 7, find x. Since all sides are congruent, then AB = BC 13 = 2 x + 7 6 = 2 x 3=x
Shape Jeopardy Rhombus segments A B E C D If AE = 5 cm and BE = 6 cm, find AB.
Shape Jeopardy Rhombus segments A B E C D If AE = 5 cm and BE = 6 cm, find AB. Since the diagonals are perpendicular, then ΔAEB is a right triangle with AB as the hypotenuse. 52 + 62 = AB 2 25 + 36 = AB 2 61 = AB 2
Shape Jeopardy Rhombus angles A B E C D If m<BAC = 52, find m<DAB.
Shape Jeopardy Rhombus angles A B E C D If m<BAC = 52, find m<DAB. Diagonals bisect angles, so m<BAC = m<DAB, then m<DAB = 52.
Shape Jeopardy Rhombus angles A B E D If m<AEB = 2 x + 6, find x. C
Shape Jeopardy Rhombus angles A B E D If m<AEB = 2 x + 6, find x. C Since diagonals are perpendicular, then m<AEB = 90 2 x + 6 = 90 2 x = 84 x = 42
Shape Jeopardy Rhombus angles A B E C D If m<BAC = 3 y – 4 and m<DCA = 2 y + 3, find m<BAD.
Shape Jeopardy Rhombus angles A B E C D If m<BAC = 3 y – 4 and m<DCA = 2 y + 3, find m<BAD. Since opposite angles are congruent and are bisected, then m<BAC = m<DCA. m<BAD = 2(m<BAC) 3 y – 4 = 2 y + 3 y– 4=3 y=7 m<BAD = 2[3(7) – 4] Wants m<BAD = 34
Shape Jeopardy x° 2 x° 5 x° 4 x° Find the measure of each interior angle.
Shape Jeopardy x° 2 x° 5 x° 4 x° Find the measure of each interior angle. All angles add to equal 360 Wants each angle x + 5 x + 2 x + 4 x = 360 30°, 5(30)°, 2(30)°, 4(30)° 12 x = 360 30°, 150°, 60°, 120° x = 30
Shape Jeopardy Determine if the quadrilateral is a square using the distance and slope formula. E(1, 5), F(6, 5), G(6, 10), H(1, 10)
Shape Jeopardy E(1, 5), F(6, 5), G(6, 10), H(1, 10) YES Determine if the quadrilateral is a square using the distance and slope formula. By definition a square is a rectangle and a rhombus. Therefore you have to show all angles are right angles and all sides are congruent.
Shape Jeopardy Square A B E D Find m<BAC. C
Shape Jeopardy Square A B E D C Find m<BAC. All angles are right angles and the angles are bisected, therefore m<BAC = 45°
Shape Jeopardy Determine if the statement is sometimes, always, or never. A parallelogram is a square.
Shape Jeopardy Determine if the statement is sometimes, always, or never. A parallelogram is a square. Sometimes, if it is a square.
Shape Jeopardy Determine if the statement is sometimes, always, or never. A rectangle is a parallelogram. Always, a rectangle has all the properties of a parallelogram
Shape Jeopardy Trapezoid Segments 86 x 54 Find x.
Shape Jeopardy Trapezoid Segments 86 x 54 Find x. The median is ½ the sum of the bases. x = ½ (86 + 54) x = 70
Shape Jeopardy Trapezoid Segments 32 20 x Find x.
Shape Jeopardy Trapezoid Segments 32 20 x Find x. The median is ½ the sum of the bases. 20 = ½ (32 + x) 40 = 32 + x 8=x
Shape Jeopardy Trapezoid angles 78° x° Find x
Shape Jeopardy Trapezoid angles 78° x° Find x Base angles are congruent and consecutive interior angles are supplementary. 180 – 78 = 102
Shape Jeopardy Create the Venn Diagram that includes the following: Quadrilaterals Squares Trapezoids Rectangles Rhombus Parallelogram
Create the Venn Diagram that includes the following: Quadrilaterals Squares Trapezoids Rectangles Rhombus Parallelogram Quadrilaterals Trapezoid //gram Rectangle Rhombus Square
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