Geometry

Scale Drawings

100

What is a Scale Factor?

Scale Factor = Scale Drawing : Actual Object This tells you how much an object increased or decreased.

200

The scale factor of a model of a giraffe is 1/40. If the model of a giraffe is 0.15 m tall, how tall is the actual giraffe?

6 m tall

300

The area of a rectangle is 40 cm squared. The area of a second rectangle has dimensions twice the size of the first rectangle. What is the area of the second rectangle?

160 cm squared

400

A scale drawing is 1/12 the size of the original object. What is the scale factor?

1 : 12

500

In a floor plan of Ms. Martin's living room, her couch is 1.5 in by 3.5 in. If the scale of the floor plan is 1 in = 2 ft. What are the actual dimensions of Ms. Martin's couch?

3 ft by 7 ft

Triangles

100

The angles inside a triangle must add up to equal what?

180 degrees

200

If I have a triangle with the following angle measures, what type of triangle is it? 30 degrees, 48 degrees, and 78 degrees. Keep in mind you also know what the sides must be like given these angles so it has two names.

Acute Scalene Triangle

300

If I have a triangle with a base of 50 in and a height of 30 in, what is the area of the triangle? If the sides of the triangle are 50 in, 50 in, and 31.6 in, what is the perimeter of the triangle?

750 in squared 131.6 in

400

Draw a picture of a triangle and label Exterior Angle, Remote Interior Angles, and Interior Angles. If the Exterior angle is equal to 110 degrees and one of the remote interior angles is equal to 58 degrees. What is the measure of the other remoter interior angle?

Ms. Martin will judge picture 52 degrees

500

If Ms. Jacobson drew a triangle with side lengths 8 cm and 12 cm. Could she draw the third side where it is equal to 4 cm? Explain answer

No, using Triangle Inequality Thm. 4 cm + 8 cm = 12 cm not greater than 12 cm.

2D and 3D Figures

100

If I cut a triangular prism in half parallel to the base, what shape would the cross-section be?

Triangle

200

Find the area of a Trapezoid with Base 1 = 25 m, Base 2 = 45 m, and a height of 15 m.

525 m squared

300

Find the surface area of a rectangular prism with a length of 23 ft, width of 14 ft, and a height of 28 ft.

2716 ft squared

400

The pyramids of Giza in Egypt are 137.2 m high and the length of one of its sides is 227.29 m. What is the volume of the pyramids?

2,362,618.03 m cubed

500

Look at the Compound Shape on the PowerPoint Slide and Find the area

183.5 in squared

Circles

100

How do you find the Area of a Circle?

Area = π• r squared

200

If the circumference of a pizza is 56.52 in, what is the diameter of the pizza? What is the radius?

Diameter 18 in Radius 9 in

300

If the radius of a circle is 12 cm what is the area of the circle?

452.16 cm squared

400

The diameter of a Dime is 17.91 mm. The circumference of a Nickel is 1.196 times bigger than the circumference of a Dime. What is the diameter of a Nickel?

21.21 mm

500

Ms. Martin's clock has a diameter of 2 ft. If the diameter of the clock on Big Ben in London is 23 ft. How many times bigger is the circumference of Big Ben compared to the circumference of Ms. Martin's clock?

11.5 times bigger

Angles

100

Are these two angles complementary or supplementary? 58 degrees and 32 degrees

Complementary

200

Draw an example of vertical angles. How do I know what the measures of the angles are?

Ms Martin will judge

300

Angle A and Angle B are supplementary. If angle A is 23 degrees, what is Angle B?

157 degrees

400

If a triangle is an equilateral triangle, what are the measures of its angles?

60 degrees

500

What is the difference between intersecting lines and perpendicular lines? What are parallel lines?

Perpendicular lines must form right angles, so 90 degrees. Parallel never touch