Angles and Equations
Triangles
Bases and Cross Sections
Volume
100
Select all the equations that represent the relationship between the measures of the angles in the figure.
a. a=b
b. a+b=90
c. b=90-a
d. a+b=180
e. 180-a=b
f. 180=b-a
d. a+b=180
e. 180-a=b
100
Can the sides of a triangle have lengths 2, 5, and 8? Explain why or why not.
No because 2 + 5 = 7 and 7 is not grater than 8
100
Is this a prism or a pyramid? Explain how you know.
This is a pyramid because it has 1 flat base and triangular sides that all meet at a single point called the apex
100
What is the volume of the box below?
70 cubic inches
200
Which equation can be used to solve for x?
a. 2x+94=180
b. 2x+94=90
c. 10x=86
d. 2x+8=86
d. 2x+8=86
200
A triangle has an angle that measures 38 degrees and another angle that measures 79 degrees. What does the third angle have to measure?
63 degrees
200
What shape is the base of the figure?
Triangle because there are two triangles that are parallel to each other
200
What is the volume of the triangular prism?
6 cubic inches
300
What equation can be used to solve for x?
a. 9x-40=90
b. 9x+40=90
c. 9x+36=90
d. 9x-36=90
c. 9x+36=90
300
Use what you know about supplementary angles and the angles in a triangle to find the measure of <1.
110 + 36 =146
180 - 146 = 34
The third angle inside the triangle is 34 degrees. Angle 1 and 34 are supplementary so 180 - 34 = 146
Angle 1 measures 146 degrees
300
A square pyramid is cut along the shaded plane. What is the shape of the cross section created?
Square
300
What is the volume of the triangular prism?
210 cubic inches
400
What is the value of x in the diagram below?
3x + 6 = 63
-6 -6
3x = 57
/3 /3
x = 19 degrees
400
What is the measure of angle 1?
52 + 65 = 117
180 - 117 = 63 (third angle in triangle)
180 - 63 = 117
Angle 1 measures 117 degrees.
400
What shape will our cross section be if we cut the octagonal prism below vertically?
Octagon
400
What is the volume of this prism?
315 cubic inches
500
What is the value of x in the diagram below?
5x - 13 = 57
+13 +13
5x = 70
/5 /5
x = 14 degrees
500
*DOUBLE POINTS*
a. A triangle has angles 73 degrees and 12 degrees. How many triangles can be formed?
b. A triangle has side lengths 6, 8, and 10. How many triangles can be formed?
a. infinite number of triangles (degrees are all the same, but side lengths can be anything)
b. only one unique triangle
500
What shape will be created if we cut off the corner of the prism below?
Triangle
500
What is the volume of this prism?
98 cubic feet