Inequality Theorems
True or false. The side lengths 2, 6, and 3 form a triangle.
What is true?
Two angles in a triangle are each 60 degrees. What is the measure of the third angle?
What is 60 degrees?
Fill in the conjecture. In a triangle, the longest side is _________________________ the largest angle.
What is opposite or across?
When is Mr. Sinclair's Birthday?
November 4th
True or false. The side lengths 14, 16, and 2 form a triangle.
What is false?
Two angles in a triangle measure 42 degrees and 101 degrees. What is the measure of the third angle?
What is 37 degrees?
Fill in the conjecture. The measure of the two smallest sides of a triangle must be __________________ than the third side.
What is greater?
Where was Mr. Sinclair born and raised?
Tampa, Florida
A triangle has side lengths 9 and 5. List one possibility for the third side length.
What is any number greater than 4?
Three angles in a triangle are 30, 60, and x + 45. Solve for x.
What is x = 45?
Fill in the conjecture. The measure of an exterior angle of a triangle is equal to the sum of the _________ ________________ _________________.
What is two remote (interior) angles?
What sport did Mr. Sinclair play in college?
Soccer
In triangle RQP, QP = 15, RP = 25, and RQ = 13. Order the ANGLES from smallest to largest. Hint: sketch and label the triangle.
What is angle P, angle R, angle Q?
Three angles in a triangle are 20, 40, and 2x - 4, find x.
What is x= 62?
Fill in the conjecture. If a triangle is isosceles, then _________ ________________ are congruent. Hint: Not the sides.
What is base angles?
What does Mrs. Sinclair teach?
AP Seminar and AP Research
Triangle DEF has angle D = 35 degrees and angle F = 95 degrees. List the sides from shortest to longest. Hint: Sketch and label the triangle.
What is side FE, side DF, and side DE?
Three angles in a triangle measure 3x, 10x, 5x. Find x.
What is x = 10?
If a triangle has two congruent base angles, then it must be one of these two types of triangles.
What is isosceles or equilateral.
What are the name of Mr. and Mrs. Sinclair's dogs?