Geometry Mrs. Cutbirth. Exit  The button will take you to the first slide. If you are having trouble with a particular problem you may click the button.

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Presentation transcript:

Geometry Mrs. Cutbirth

Exit  The button will take you to the first slide. If you are having trouble with a particular problem you may click the button to view a hint. The button will return you to the previously view slide. The slide will advance you to the next slide. The button will take you back a slide. When you complete the problem you may check your answer by clicking the answer button on the slide.

Exit a ≈ __________ s = cm A = 19,887.5 cm 2 Answer

Exit P ≈ ___________ a = 38.6 mm A = mm 2 Answer

Exit Regular n-gon: a = 9.6 cm and A = cm 2, P ≈ _______ Answer

Exit Find the perimeter of a regular polygon if a = 9m and A ≈ m 2 Answer

Exit Find the shaded area of AORNGIS of the regular octagon ROADSIGN. The apothem measures about 20 cm. Segment GI measures about 16.6 cm. G I NRNR SDSD O A Answer

Exit An interior designer created the kitchen plan shown. The countertop will be constructed of colored concrete. What is its total surface area? If concrete countertops 1.5 inches thick cost $85 per square foot, what will be the total cost of this countertop? Answer

Exit Find the sum of the interior angles in the polygon. Then find the value of p.  Sum of interior angles = _______  p = _______ Answer

Exit The measure of an exterior angle of a regular octagon is x + 7. Find x and the measure of each exterior angle of the octagon. Answer

Exit Suppose a regular polygon has n sides. Write an expression to describe each of the following quantities for that regular polygon. a) the sum of the measures of the interior angles b) the measure of each interior angle c) the sum of the measures of the exterior angles (one at each vertex) d) the measure of each exterior angle. Answer

Exit Find the area of the trapezoid. A = ___________ Answer

Exit Find the area. A=___________ Answer 28 cm 22 cm

Exit In the figure at the right, quadrilateral WXYZ is a trapezoid. a) Explain why ∆WXY and ∆XYZ have the same area (Hint: Consider XY as the base of both triangles.) b) Use the answer in part a and the Area Addition Postulate to explain why ∆WXR and ∆RYZ have the same area. Answer

Your test is tomorrow. It will cover all of the material from chapter 10. Exit

a ≈ __________ s = cm A = 19,887.5 cm 2

Exit P ≈ ___________ a = 38.6 mm A = mm 2

Exit Regular n-gon: a = 9.6 cm and A = cm 2, P ≈ _______

Exit Find the perimeter of a regular polygon if a = 9m and A ≈ m 2

Exit Find the shaded area of AORNGIS of the regular octagon ROADSIGN. The apothem measures about 20 cm. Segment GI measures about 16.6 cm. G I NRNR SDSD O A

Exit 1. The shape is made up of two rectangles and one regular octagon. 24 in 2. The apothem is the distance from the center to the side. 3. To calculate the cost you will need to know how many square feet you have. If your area is in in 2, you will need to do a conversion. There are 144 in 2 in 1ft 2.

Exit Find the sum of the interior angles in the polygon. Then find the value of p.  Sum of interior angles = _______  p = _______

Exit The measure of an exterior angle of a regular octagon is x + 7. Find x and the measure of each exterior angle of the octagon. The sum of the exterior angles is 360 o. To find one exterior angle, divide the sum by the number of sides. To calculate x you can then set up an equation.

Exit Find the area of the trapezoid. A = ___________

Exit Find the area. A=___________ 28 cm 22 cm

Exit

P = 256mm

Exit P = 63cm

Exit P = 57.6 m

Exit A = 996 cm 2

Exit A = 50 ft 2 or 7200 in 2 Cost = $4250

Exit Sum = 900 p = 50

Exit x = o

Exit

A = 297 in 2

Exit A = 308 cm 2

Exit a) The area formula for a triangle is A = ½ bh. Both triangles share the same base and have the same height. b) Both triangles have the same area. If you subtract the same area from each triangle, then the remaining amount on each triangle will be the same.