Scale Drawings
a proportional two-dimensional drawing of an object. These represent objects that are smaller or larger than the actual object.
What is Scale Drawings?
Determine if each set of lengths can be used to construct a triangle.
Side Lengths Yes No
5 cm, 8 cm, 12 cm
12 in, 12 in, 12 in
3 ft, 6 ft, 10 ft
Side Lengths Yes No
5 + 8 > 12 X
12+12 > 12 X
3+6 < 10 X
A circle has a radius of 4 cm.
The area, in square centimeters, of the circle is ...
What is A= 3.14 x 4 x 4 = 50.24 sq cm
Angle x and angle 29.02 are complementary.
The measurement of angle x is ...
What is 60.98o !
Find the volume of the pentagonal prism if the area of the base is 36 square centimeters and the height of the prism is 15 cm.
What is V=(B)(h)
V= (36) (15)
V= 540 cubic centimeters
Lisa drew a picture of a boat. She used the scale shown.
1 inch: 6 feet
The boat in her picture is 7 inches long. The length, in feet, of the actual boat is...
What is 42 feet!
Nathan wants to draw a triangle. He knows that two of the side lengths are 5 inches and 7 inches. A possible length of the third side is ...
What is Greater Than or Equal to 3 inches!
A circle with the diameter of 3.7 inches.
The circumference of half the circle is...
What is 3.14 x 3.7= 11.618 divided by 2 = 5.809 inches!
Angle x and Angle x+36 are supplementary.
Write an equation and then solve to find the value of x.
What is x + (x+36) = 180
2x+ 36=180
2x=144
x=72
Find the area of the figure shown by the teacher.
A= (h) (b1+b2)/ 2
A= (b) (h)
A=(b) (h)/ 2
What is 42 square inches!
Both rectangles shown are proportional.
Determine the area of figure B.
Rectangle A: length: 9 mm and width: 12 mm
Rectangle B: length: unknown and width: 4 mm
What is 12 square millimeters!
Edwin says he drew a triangle with side lengths of 10 cm, 7 cm, and 2 cm.
Manny said that is not possible.
Explain who you think is correct and why.
What is Manny, because if you add the lengths of the 2 shorter sides (7+2), they do not have a sum greater than the third side, which measures 10 cm!
The circumference of a circle is 53.38 centimeters.
The length of the diameter, in centimeters, is...
What is 53.38= 3.14 (d)
17= d
The diameter is 17 cm.
angle KPN and angle NPO are complementary.
One angle measures 2x and the other measures
x-3.
Write and solve an equation to find x.
What is 2x + (x-3) = 90
3x - 3 = 90
3x = 93
x= 31
Find the area of the figure shown by your teacher.
A= (3.14) (r2)
A= (b) (h)
What is 470.34 square cm!
Antonio is building a model of a real castle using a 1:240 scale. His model has a rectangular base that is 2.5 feet wide and 2 feet long.
The area of the base of the actual castle is _____ square feet.
** use proportions before using the area formula**
What is 288,000!
Select all groups of given side lengths that create a triangle:
A.) 5 cm, 8 cm, 12 cm
B.) 12 in, 12 in, 12 in
C.) 3 ft, 6 ft, 10 ft
D.) 10 cm, 7 cm, 2 cm
E.) 3 m, 4 m, 5 m
F.) 8 ft, 3 ft, 11 ft
What are
A.) 5 cm, 8 cm, 12 cm
B.) 12 in, 12 in, 12 in
E.) 3 m, 4 m, 5 m
Mark placed a round pool in his backyard, which is enclosed by a triangular fence.
The radius of the pool is 20.5 feet.
The area of the yard the pool takes up is...
What is A= 3.14 x 20.5 x 20.5 = 1,319.585 square feet
Angle ABC is a straight angle.
The ratio of the measure of angle ABD to the measure of angle CBD is 2:3.
Create an equation and use it to solve for the measurement of both angles.
What is ABD=2x
CBD= 3x
2x+3x=180
5x=180
x=36
2 (36)=72
3(36)=108
Find the surface area for the following prism shown by your teacher.
SA= (P) (h) + (2) (B)
A= (b) (h)/2
What is 368 square cm!
Select all the dimensions that could be a scale drawing for the rectangle above.
A.) 3 inches by 8 inches
B.) 6 inches by 8 inches
C.) 6 inches by 16 inches
D.) 3 inches by 16 inches
E.) 9 inches by 24 inches
What are A.) 3 in by 8 in C.) 6 in by 16 in and E.) 9 in by 24 in
Determine whether the given conditions determine a unique triangle or more than one triangle. Justify your answer.
Two angles of triangle measure 40o and 75o.
The side between the angles is 3 feet long.
What is unique triangle!
Side lengths determine unique triangle by Side-Angle-Side (SAS) property
Sam is placing rope lights around the edge of a circular patio with a diameter of 18 feet.
The lights are sold in lengths of 54 inches.
How many strands of lights does he need to surround the patio edge?
What is C= 3.14 (18)
C= 56.54 feet
56.54 (12)= 678.24 inches
678.24/ 54 = 12.56
Sam needs 13 strands of lights.
Angle 7x, angle 8x, and angle 44.4o are supplementary.
Find the measurement of angle "8x"...
What is 7x+8x+44.4=180
15x + 44.4 = 180
15x=135.6
x=9.04
Mitzi has a rectangular swimming pool. She fills it with water to a depth of 5 feet. The water has a volume of 1200 cubic feet.
Find the possible length and width of the swimming pool.
V=(B) (h)
1200= (B) (5)
B= (length) (width)
Length: Width:
What are two numbers that have the product of 240!
6 and 40
8 and 30
10 and 24
12 and 20