Scale Drawing / Area
The length of the tunnel under the water is 50 miles. If 1 inch represents 10 miles, what is the length of the tunnel on the map?
5 inches
Determine if the given side lengths form a triangle.
4, 5, 10
No
Identify the cross section of the sphere sliced down the center.
Circle
The angles are supplementary:
<1 : x + 2
<2 : 153
What is the measure of <1?
<1 = 27 degrees
-11b + 7 = 40
b = -3
If on a scale drawing 15 feet are represented by 10 inches, then a scale of 1/20 inch represents how many feet?
3/40 ft.
Determine if the given side lengths form a triangle.
4, 5, 9
No
Identify the cross section of the regular square pyramid sliced vertically through the vertex.
Triangle
The angles are complementary:
<1 : 4x + 7
<2 : 55
What is the measure of <1?
<1 = 125 degrees
2(t + 1) = 10
t = 4
Dimensions of a house are 300 feet by 125 feet. If 1 inch represents 50 feet, what are the dimensions of the house on the drawing?
6 in. x 2.5 in
If two sides of a triangle are 1 and 3, the third side may be:
2 < x < 4
Identify the cross section of the cylinder sliced vertically through both faces.
Rectangle
The angles are vertical:
<1 : 5 + 11x
<2 : 82
What is the measure of <1?
<1 = 82 degrees
2 = m/2 - 7
m = 18
The floor plan of a ballroom is shown at right. The scale is 3 centimeters : 4 meters. What are the length and width of the ballroom? Find the ballroom's area.
16 cm. x 12 cm : 192 cm^2
If the lengths of two sides of a triangle measure 7 and 12, the length of the third side could measure:
5 < x < 19
Identify the cross section of the rectangular prism.
Rectangle
The angles are complementary:
<1 : 11x + 1
<2 : 5x+ 9
What is the measure of <2?
<2 = 34 degrees
m/9 + 2/3 = 7/3
m = 45/3
If on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?
7/40 ft.
Two sides of an isosceles triangle have lengths 2 and 12, respectively. Find the length of the third side.
12
Identify the cross section of the triangular prism.
Triangle
The angles are supplementary:
<1 : 12x + 8
<2 : 12 + 20x
What is the measure of <2?
<2 = 112 degrees
-3 = 7(y - 9/7)
y = 6/7