Is it a Triangle?
Are you able to form a triangle with line segments of 2, 4 and 9?
What is NO! 2 + 4 < 9.
Is a triangle with side lengths of 3, 4 and 5 a Right Triangle?
What is YES! 3 squared + 4 squared is equal to 5 squared. 9 + 16 = 25!
A RIGHT triangle has side (leg lengths) of 6 and 8. What is the length of the Hypotenuse.
What is 10! 62 + 82 = 100. The square root of 100 is 10!
Give a set of COMPLEMENTARY angles. If one of the angles is 42 degrees, then how much is the second angle?
What is 48 degrees. 90 - 42 = 48.
If two angles in a triangle are 60 and 50 degrees each, what is the measurement of the 3rd angle?
What is 70 degrees. 60 + 50 + X = 180 degrees. Subtract 110 from both sides and the missing side is 70 degrees.
Are you able to form a triangle with line segments of 5, 6 and 12?
What is NO! 5 + 6 < 12.
Does a triangle with side lengths of 6, 8 and 12 form a right triangle?
What is NO! 6 squared + 8 squared does not equal 12 squared. 36 + 64 does not equal 144.
A RIGHT triangle has side (leg) lengths of 10 and 24. What is the length of the hypotenuse?
What is 26! 10 squared plus 24 squared equals 676. The square root of 676 is 26!
Given a set of VERTICAL angles. If one angle is 32 degrees how much is the vertical angle across from it?
What is 32 degrees! Vertical Angles are congruent, meaning the same unit of measure.
If two angles of a triangle are 45 degrees each, then was is the measurement of the third angle in the triangle?
What is 90 degrees. 45 + 45 + x = 180. Subtract 90 from both sides and get 90 degrees.
Are you able to form a triangle with lengths of 45, 52 and 79?
What is YES! 45 + 52 > 79!
Does a triangle with side lengths of 5, 12 and 13 make a right triangle?
What is YES! 5 squared + 12 squared does equal 13 squared. 25 + 144 does equal 169!
A RIGHT triangle has a leg with a length of 9 and a hypotenuse of 15. What is the length of the other leg?
What is 12! 152 - 92 = 144. The square root of 144 is 12!
Give a pair of SUPPLEMENTARY angles. If one of the angles measures 108 degrees, how much is the other adjacent angle?
What is 72 degrees. 180 - 108 = 72.
If the angles of a triangle are 4x and 3x and 2x, what is the value of x?
What is 20. 4x + 3x + 2x = 180, therefore 9x = 180. Divide both sides by 9 and x = 20.
Are you able to form a triangle with line segments of 23, 22 and 48?
What is NO! 23 + 22 < 48!
Does a triangle with side lengths of 12, 16 and 20 make a right triangle?
What is YES! 12 squared + 16 squared does equal 20 squared. 144 + 256 does equal 400.
A right triangle has a leg length of 5 and a hypotenuse of 13. What is the length of the other leg of the triangle?
What is 12! 132 - 52 = 144. The square root of 144 is 12!
Give a pair of COMPLEMENTARY angles. If one angle is 5x and the other angle is 4x, what is the value of x?
What is 10! 5x + 4x = 90, so 9x = 90. Divide both sides by 9 and x = 10.
If one angle of a triangle is a right angle, the second angle in the triangle is 67 and the third angle in the triangle is x + 45, what is the value of x?
What is -22!. 90 + 67 + x + 45 = 180. Combine 90, 67 and 45 to get 202, therefore x + 202 = 180. Subtract 202 from each side and x = -22.
Are you able to form a triangle with line segments of 4, 5 and 9.
What is NO! 4 + 5 = 9. To make a triangle a + b must be greater than C.
Does a triangle with side lengths of 2, 2 and 8 make a right triangle?
What is NO! 2 squared + 2 squared does not equal 8 squared. 4 { 4 does not equal 64.
How far away from the base of a house does a 15 foot ladder have to be to touch exactly 12 foot up against the wall of the house?
What is 9 feet! 152 - 122 = 81. The square root of 81 is 9!
Given a pair of SUPPLEMENTARY angles. If one angle in the adjacent pair is 4x + 8 and the other adjacent angle is 2x - 2, what is the value of x?
What is x = 29! x + 8 + 2x - 2 = 180, therefore 6x + 6 = 180. Subtract 6 from both sides and get 6x = 174. Divide both sides by 6 and x = 29.
If all 3 angles of a triangle are the SAME (Congruent), what is the measurement of each of the three angles in the triangle?
What is 60. 3x = 180. Divided both sides by 3 and x =60.