Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

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Presentation transcript:

Geometry

n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a proportion: Cross multiply to solve the proportion:15n = 120 n = 8 units

Area of a triangle Area of a square / rectangle Area of a parallelogram Area of a trapezoid

12 in. 25 in.

Volume of rectangular prism = l × w × h

Center Diameter Radius Chord Central Angle Circumference

Diameter = 2r Radius = ½ d

To find the area of a circle… A = r² 5 cm Find the area of the given circle. Use 3.14 for π A = (3.14) (5)² A = r² A = (3.14) (25) A ≈ 78.5 sq cm

10 cm Find the area of the given circle. Leave your answer in terms of A = (π) (5)² A = r² A = (π) (25) A = 25π sq cm Given diameter = 10 cm Radius = ½ d Radius = 5 cm

To find the circumference of a circle… C = d 12 cm Find the circumference of the given circle. Use 3.14 for π C = (3.14) (24) C = d C = (3.14) (24) C ≈ cm

10 cm Find the circumference of the given circle. Leave the answer in terms of C = (π) (10) C = d C = (π) (10) C = 10π cm

To find the area of the sector of a circle… A = r² (central angle / 360) 4 cm Find the area of the given sector. Use 3.14 for π A = (3.14) (4)² (60 / 360) A = r² (central angle / 360) A = (3.14) (16) (1 / 6) A ≈ 8.37 sq cm 60˚

20 cm Find the area of the given sector. Leave your answer in terms of π A = (π) (10)² (90 / 360) A = r² (central angle / 360) A = (π) (100) (1 / 4) A = 25π sq cm 90˚

Diameter = C ÷ π Circumference = π d

Coordinate Plane x-axis y-axis origin Ordered Pair (-5, 4) x-coordinate y-coordinate

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