Simplify Radicals
Parallel or Perpendicular
Pythagorean Theorem
Area & Perimeter
Miscellaneous
100
sqrt68
2 sqrt17
100
What do parallel lines have in common?
Same slope
100
Would the following sides of a triangle make a right triangle?
6, 8, and 10
Yes
100
Find the perimeter of a right triangle with legs that are 3 ft and 4 ft and a hypotenuse of c feet
What is 12 ft
100
Find perimeter of the figure below:
10sqrt10
200
What is
sqrt87
What is
sqrt87
200
Describe the relationship between perpendicular slopes?
Their slopes are negative reciprocals
200
What is the length of the diagonal of the following:
sqrt41
200
Find the area of the figure below:
What is 8
200
Find the length of the red diagonal of the square below written as a simplified radical (pretend its straight):
What is
15sqrt2
inches
300
sqrt92
What is
2sqrt23
300
What is the slope of a line that is perpendicular to the following line: 2x + 3y = 6
3/2
300
A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall. *Write your answer in the context of the problem
What is 5 meters
300
Determine the area of the shape below:
30 square units
300
If the height of a cone is 5 units and the slant height is
sqrt29
units, what is the diameter of the cone? (reminder: radius of a cone is half its diameter)
What is 4 units
400
sqrt45
What is
3sqrt5
400
Write the equation of a line that crosses through point (2, 5) and is parallel to the line y = 2x - 4
y = 2x + 1
400
Find the length of the missing leg of a right triangle whose leg is 12 and hypotenuse is
sqrt180
What is 6
400
Find the area and perimeter of a rectangle with points (1, 2), (1, 8), (9, 2), and (9, 8).
Area = 48 square units
Perimeter = 28 units
400
Jack lives 14 miles north of the park while Emma lives 4 miles west of the park. If the park is located at point (0, 0) what is the midpoint between their two homes?
(-2, 7)
500
sqrt192
What is
8sqrt3
500
Write the equation of line that contains point (-3, 4) and is perpendicular to the line: 3x - 2y = 8
y = -2/3x + 2
500
Prove that the following is a right triangle.
May use pythagorean theorem or slopes of line segments FE and DE
500
Find the area and perimeter of the figure below:
Area= 32 units squared
Perimeter=
8sqrt2_+12
500
The following coordinate plane shows the areas of land that Jarvis and Micah have explores. How much more land has Micah explore than Jarvis?
Micah (48 units squared) - Jarvis (42 units squared) = 6 units squared