Solving Equations
Similar Shapes
Inside Similarity
Angles
Miscellaneous
100
2x - 5 = 27
x = 16
100
What is the definition of a similar shape?
All angles are equal and all sides are proportional
100
Sketch and label the two similar triangles, separately, that are in this picture.
Depends on picture
100
Angles 1 and 3 are what kinds of angles?
Vertical angles
100
What is the definition of congruent?
Same shape. Same angles and same side lengths
200
13 - 3x = 4
x = 3
200
Are the following shapes similar?
Yes
200
Find DE
x = 6
200
Angles 2 and 6 are what kind of angles?
Corresponding angles
200
What is the sum of the interior angles of a hexagon?
720 degrees
300
2x + 32 = 6x
x = 8
300
Find the missing side
x = 14
300
Find x
x = 9
300
Angles 1 and 7 are what kinds of angles?
Alternate exterior angles
300
If I have a regular octagon, what is the measure of each of its angles?
135 degrees
400
14x - 8 = 12x + 36
x = 22
400
Are the following triangles similar?
Yes
400
Find x and y
x = 5
y = 7.5
400
If angle 5 is 47 degrees then what is the measure of angle 3 and why?
47 degrees because they are alternate interior angles and alternate interior angles are equal.
400
Can the sides 5, 7, and 14 form a triangle? Why or why not?
No! 5 + 7 < 14
500
3x + 5x - 27 = 15 - 4x
x = 3.5
500
Find x and y
x = 15.6
y = 6
500
Find x
x = 3
500
If angle 8 is 145 degrees then what is the measure of angle 1 and why?
35 degrees. Angle 8 is supplementary with angle 5 so angle 5 must be 35 degrees. Angle 5 is equal to angle 1 because they are corresponding angles.
500
A 6 ft tall tent casts a shadow that is 9 ft long. A cardboard box casts a shadow that is 6 ft long. How tall is the cardboard box?
4 feet tall