Review
of
Shapes
&
Designs
100
Is it possible for these 3 side lengths make a triangle? yes or no and why?
3,6,9
no, because side length 1 + side length 2 = side 3. For 3 side lengths to make a triangle side 1 + side 2 > side 3.
100
I have a triangle with angle measurements of 35°, 90°, and 60°. is this possible?
no, because 35+ 60 + 90 > 180
to be a triangle angle measurements have to equal 180.
100
Find the measure of each angle labeled X. Write the equation you used to solve.
equation :
x + 90 + 30 = 180
x + 120 = 180
x = 60
100
what is angle sum and the equation?
Angle sum equation = (n - 2) x 180
angle sum = all of the interior angles added up (total)
100
What is the angle sum of a decagon?
(10 - 2) x 180
8 x 180 = 1,440
all angles inside of a decagon = 1,440 degrees
200
Is it possible for these 3 side lengths make a triangle? yes or no and why?
4,36,35
yes because for 3 side lengths to make a triangle side 1 + side 2 > side 3.
4 + 35 > 36
200
I have a triangle with angle measurements of 25°, 70°, and 85°. is this possible?
yes, because 25 + 70 + 85 = 180
to be a triangle angle measurements have to equal 180.
200
this is a picture of what type of angles?
complementary angles = 90 & looks like a right angle or a " L ".
200
write an equation for both and find the measure of angle labeled X
#1 equation:
x + 30 = 180
x = 150 degrees
#2 equation:
x + 125 = 180
x = 55 degrees
200
Which numbers make a triangle?
5, 6, 10
7, 3, 4
3, 3, 4
1 & 3
300
A triangle has sides of 3 and 4. Amy says that one possibility for the unknown side length is 11. Do you agree with Amy? Justify your thinking.
no, because side length 1 + side length 2 < side 3. For 3 side lengths to make a triangle side 1 + side 2 > side 3.
300
What's the different been vertical angles and supplementary angles?
vertical angles = opposite, equal
supplementary angles = next to each other, add up to 180
300
What is right and wrong from this problem?
Right: equation
Wrong: subtracting 5x, should be dividing by 5 on both sides to get X by alone.
300
if a piece of pie has a has a 22 degree angle and this angle plus the missing angle are supplementary angles. How can I set my equation up?
x + 22 = 180
x= 158 degrees
300
Which #'s are possible triangles?
1, 2, 4
400
Is it possible for these 3 side lengths make a triangle? yes or no and why?
8, 3, 9
yes because for 3 side lengths to make a triangle side 1 + side 2 > side 3.
3 + 8 > 9
400
set up the equation & solve for X.
equation:
27 + x = 90
x = 63 degrees
400
1) equation is wrong
2) never needed 20 x's
3) answer is wrong as well.
400
What is angle measure?
Angle measure = finding the measurement of one degree
400
What is the difference between a polygon and a non-polygon?
polygon: straight sides, closed, lines cannot intersect
non-polygon: curved sides, open, lines intersect
500
A triangle has sides of 6 and 11. Frank says that one possibility for the unknown side length is 8. Do you agree with Frank? Justify your thinking.
yes because for 3 side lengths to make a triangle side 1 + side 2 > side 3.
6 + 8 > 11
500
set up equation & solve for x
equation:
x + x - 20 + 2x = 180
4x - 20 = 180
4x = 200
x = 50 degrees
500
Find the degree measure of angles labeled a-g.
<a = 145 degrees
<b = 35 degrees
<c = 145 degrees
<d = 145 degrees
<e = 35 degrees
<f =145 degrees
<g = 35 degrees
500
true of false: when setting up an equation you use what is given?
true
500
true or false: if I want to get x by itself 5x = 180 I subtracted 5 on both sides?
false, divide by 5