Angles, Triangles, Surface Area & Volume

Angles

100

Supplementary angles add up to be _________ degrees.

Complementary angles add up to be _________ degrees.

180

90

200

True or False: Vertical angles can be adjacent

False: Adjacent angles share a side and vertex (next to each other) where vertical angles are formed by intersecting lines and are across from each other.

300

The complement of 27^o is __________. The supplement of 27^o is ______________.

63^o and 153^o

400

Angles a and b are vertical angles. If angle a is 67^o, what is the measure of angle b?

67^o

500

A triangle has angles 70 and 60, what is the missing third angle?

50

Triangles

100

The angle sum of a triangle

180^o

200

Will the angles 30^o, 65^o, and 85^o make a triangle? Why or why not?

Yes -- 30^o + 65^o + 85^o = 180^o

300

Will the side lengths 14, 7, 5 make a triangle? Explain.

No, because the sum of the two shortest sides (7 + 5) is less than the longest side (14). 13<14

400

How can I determine if a triangle can be formed when I am given 3 side lengths?

How can I determine if a triangle can be formed when I am given 3 angles?

The sum of the two shortest sides is greater than or equal to the the longest side.

The sum of all three angles must be 180^o.

500

Determine if the conditions would create a unique triangle or multiple different triangles:

Triangle 1: Angles: 40^o, 80^o, 60^o

Triangle 2: Side Lengths: 12 cm, 14 cm, 20 cm

Triangle 1: multiple different triangles

Triangle 2: unique triangle

Surface Area

100

Refer to Slide Show (slide 6)

392

200

A rectangular prism has a height of 12yd, width of 8yd, and length of 18yd. Find the Surface Area

912 yd2

300

Slide 7

1048 in2

400

Slide 8

90

500

Slide 9

240 cm2

Volume

100

Formula to find the volume of any prism

V = Bh (area of base x height)

200

Slide 2

480

300

Slide 3

2080 in3

400

Slide 4

36

500

Slide 5

288 in3

Random Assortment

100

An angle whose measure is 180 degrees is what type of angle?

A straight angle

200

Slide 10

Rectangle

300

Bob attempted to draw a triangle with side lengths of 9 cm, 8 cm, and 18 cm but was not able to complete it.

1) Explain why Bob was not able to complete the triangle.

2) Change one of the original side lengths to make it so Bob could draw the triangle.

1) 9 + 8 = 17 which is not greater than 18. The sum of the shorter side lengths must be greater than the longest side length.

2) Answers Vary

400

Describe how you know if a unique triangle or multiple different triangles can be created.

unique triangles are made when you are given side lengths (it's the only triangle that can be made)

multiple different triangles are made when you are given angles (you're able to make scaled copies)]

500

Slide 11

Answers Vary