700 likes | 936 Views
GT Geometry Unit 6: Quadrilaterals Jeopardy. $100. What is the sum of the interior angles of a pentagon?. $100. 540 Degrees. $200. What is the measure of each exterior angle of a regular octagon?. $200. 45 degrees. $300.
E N D
GT Geometry Unit 6: Quadrilaterals Jeopardy
$100 What is the sum of the interior angles of a pentagon?
$100 540 Degrees
$200 What is the measure of each exterior angle of a regular octagon?
$200 45 degrees
$300 If each interior angle of a regular polygon is 140 degrees how many sides does the polygon have?
$300 9 sides
$400 If each exterior angle of a regular polygon is 72 degrees how many sides does the polygon have?
$400 5 sides
$500 If each interior angle of a regular polygon is 150 degrees what is the measure of each exterior angle?
$500 30 degrees
$100 Find x if the quad below is a parallelogram
$100 X = 7
$200 Find x if the quad below is a parallelogram
$200 X = 12
$300 Find x if the quad below is a parallelogram
$300 X = 3
$400 Find x if the quadrilateral below is a parallelogram
$400 X= 33
$500 Find x if the quadrilateral below is a parallelogram
$500 X = 14.5
$100 Can we prove this quadrilateral is a parallelogram?
$100 Yes both pairs of opposite sides are congruent
$200 Can we prove this quadrilateral is a parallelogram?
$200 No, we don’t know that both pairs of opposite angles are congruent
$300 Can we prove this quadrilateral is a parallelogram?
$300 Yes, one pair of opposites sides is both congruent and parallel
$400 Can we prove this quadrilateral is a parallelogram?
$400 Yes, diagonals bisect each other
$500 Can we prove this quadrilateral is a parallelogram?
$500 Yes, the total sum of the angles of a quadrilateral is 360 degrees. Therefore x = 100. Since the opposite angles are congruent it is a parallelogram
$100 If the quadrilateral below is a rhombus, find x
$100 X = 4.5
$200 If the trapezoid below is an isoceles trapezoid find x.
$200 X = 12
$300 If the trapezoid below is an isosceles trapezoid, find x
$300 X = 14.5
$400 If the quadrilateral below is a rhombus find x
$400 X = 2 Diagonals of a rhombus bisect angles
$500 If the quadrilateral below is a rhombus find x
$500 X = 17 The diagonals of a rhombus are perpendicular so use the Pythagorean theorem
$100 Find the area of the polygon
$100 A = 70 Area of a rhombus = ½ (d1)(d2) D1 = 7 + 7 = 14 D2 = 5+5 = 10
$200 Find the area of the quadrilateral
$200 A = 64 Area of a trapezoid = ½ (b1+b2)h = ½ ( 6+10) 8
$300 Find the area of the quadrilateral below. Hint (use the Pythagorean theorem to find the missing side.)
$300 A = 192 The height of the rectangle = 12. 12 x 16 = 192
$400 The quadrilateral has an area of 60 sq inches. Find x
$400 x = 8