7 th Grade Test Prep Geometry. 6.G.10 Identify & plot point in all 4 quadrants Coordinate Plane x-axis y-axis origin Ordered Pair (-5, 4) x-coordinate.

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Presentation transcript:

7 th Grade Test Prep Geometry

6.G.10 Identify & plot point in all 4 quadrants Coordinate Plane x-axis y-axis origin Ordered Pair (-5, 4) x-coordinate y-coordinate

6.G.11 Area of polygons on a coordinate plane To find the area of the given polygon, count the number of unit squares inside the polygon. To find the area of the given polygon, count the number of unit squares in the length and width. Then use the formula to calculate the area. OR 66 sq units

A coin has a circumference of cm. What is the radius of the coin? A circle painted on the playground has an area of 314 square feet. What is the radius of the circle? 10 feet 2 cm

Jonathan ordered a pizza with an area of square inches. Marie ordered a pizza with a circumference of inches. Whose pizza has the greater diameter? Show your work and explain your reasoning. Both have the same diameter of 9 in.

PrismCone CylinderPyramid 2 parallel & congruent polygonal bases 2 circular, parallel and congruent bases 1 circular base and 1 vertex 1 Polygonal base, and triangular sides

Determine the volume of a box 2 m long, 2 m tall and 1 m wide? What is the volume (in terms of Л) of a cylinder with a radius of 5cm and a height of 8 cm? V = πr²hV = 200π cubic cm V = lwh V = 4cubic meters

Calculate the surface area of the following shapes. SA = Area of 2 triangles + Area of 3 rectangles Area of Triangle = 24 sq in. Area of Rectangles = 70, 56, 42 SA = 2 * SA = 216 sq in. SA = 2lw + 2lh + 2wh SA = 2(2 ●5) + 2(2●7) + 2(5●7) SA = SA = 118 sq ft

Calculate the surface area of the following shapes. SA = Area of 2 circles + Area of rectangle Area of circle = m Area of rectangle = m SA = 2 * SA = sq m

The sum of the interior angles of a quadrilateral is 360° In parallelogram ABCD, m ∠C = 60˚ and m ∠D = 120˚. Find the measure of the angle opposite ∠C. In quadrilateral EFGH, m ∠E = 115˚, and m ∠F = 135˚, and m ∠G = 45˚. Find the measure of the ∠H.

Hypotenuse = c Leg = a or b a² + b² = c² Longest side of the triangle = Hypotenuse

12 inches7 inches x The hypotenuse of a right triangle is 12 inches and one of its legs is 7 inches. Find the length of the other leg. x = length of the missing leg a² + b² = c² a² + b² = 12² 7² + x² = 12² 49 + x² = 144 x² = 95 x = x ≈ 9.7 inches

The measures of three sides of a triangle are 15 inches, 8 inches and 17 inches. Determine whether the triangle is a right triangle. Longest side = Hypotenuse c = 17 inches 289 = 289 A triangle with sides of 15 inches, 8 inches, and 17 inches is a right triangle. a = 15 inches b = 8 inches a² + b² = c² 15² + 8² = 17² ? = 289 ?