Vocab
The distance around a circle is the
Circumference
What is a scale drawing?
How many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches?
Only 1 triangle
What is the circumference of a circle with a radius of 5 meters? Use 3.14 for pi
31.4 m
Page 481
Topic 10-7
Problem 1
The figure shows a vertical cross section of aright rectangular pyramid. What shape is the cross section and what is its area?
Triangle
17.5 cm squared
Two angles that share a ray and a vertex (right next to each other)
adjacent angles
Two ratios that are equal is called a
Proportion
When given angle measures of 25°, 65°, and90°, is it impossible to draw a triangle, possible to draw only one triangle, or possible to draw more than one triangle? Explain.
Possible to draw more than 1
What is the area of a circle with the diameter of 12 cm. Use 3.14 for pi
113.04 cm squared
What is the volume of a rectangular box with a length of 9 cm, a height of 15 cm, and a width of 5 cm
Not in book. Show all steps
675 cm cubed
______ have a sum of 180 degrees
A blueprint of a room is drawn to a scale of2 inches = 7 feet. The actual length of one wall is 56 feet. What is the length of this wall on the blueprint?
The length in the blueprint is 16 inches
Draw a quadrilateral with two pairs of parallel sides, with one side measuring 5 centimeters, one side measuring 3 centimeters, and one angle measuring 45°. What is the name of the figure you drew?
Parallelogram
The length of the minute hand of a clock is 14 inches. What is the length of the path traced by the outer tip of the minute hand in one hour? Use 3.14 for pi
88 in
What is the surface area of a rectangular box with a length of 9 cm, a height of 15 cm, and a width of 5 cm
(not in book show all steps)
A= 2(9•15) = 270
A= 2 (9•5) = 90
A= 2 (15• 5) = 150
270 + 90 + 150 = 510 cm squared
A(n)________ is the two-dimensional shape that is exposed when a slice is made through a three-dimensional object.
Cross Section
Look at page 478
Topic 10-1
Problem 1
Information: Meeting room has a width on 1.5 inches and a length of 4 inches. The scale is 1in = 3 yards
1. What is the actual area of the meeting room in square yards?
54 yards squared
Can more than one triangle be drawn with side lengths of 4 centimeters and 2 centimeters and an included angle of 50°?
No
The diameter of the logo at the center of a basketball court is 10 feet. What is the area of the logo? Use 3.14 for pi
A = 78.5
What is the volume of a triangular prism with the height of 5 in, width of 4 in, and length of 15 in.
150 in cubes
A(n) _________ is the combination of two or more geometric shapes.
Composite figure
Look at page 478
Topic 10-1
Problem 2
Information: Meeting room has a width on 1.5 inches and a length of 4 inches. The scale is 1in = 3 yards
Question: John decides to make a new scale drawing of the meeting room. He wants the length of the room in the new drawing to be 8 inches. What is the new scale for the drawing?
1 in = 1.5 yards
What quadrilaterals can you draw that have two angles measuring 115° and two angles measuring 65°?
Trapezoid or parallelogram
The circumference of a bicycle tire is126.5 centimeters. What is the diameter of the tire? Use 3.14 for p. Round to the nearest tent has needed
40.3 cm
What is the surface area of a triangular prism with the height of 5 in, width of 4 in, and length of 15 in, and a slant height of 6 in.
Look at drawing on white board.
Show all steps! Draw a net if needed.
Not in book
A(side rectangles)= 15 • 6 • 2 = 180
A(triangles)=5•4• (1/2) • 2 = 20
A(bottom rectangle) 15 • 4 = 60
180+20+60= 260