triangles Flashcards
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The opposite of the longest angle is the longest side and the opposite of the smallest angle is the shortest side
True or False?
True
The measure of angle G is 35 degrees and the measure of angle E is 62.2 degrees. Which of the following must be the measure of angle F to form the triangle EFG?
A. 117.2
B. 83.2
C. 82.8
D. 27.8
C. 82.8
Mrs.Ann writes the measure of 3 angles on her board. Emily says the 3 angles will form an acute triangle. Do you agree or disagree? EXPLAIN
<M=57
<N=78
<O=55
Disagree, because the angles don’t equal 180, it equals 190
For the TRIANGLE INEGUALITY THEOREM, for the triangle to be formed, the sum of any two side lengths must be less than the length of the third side
TRUE OR FALSE?
false, it has to be greater than
Three line segments have measures of 13,7, and 5. Will the segments form a triangle?
Yes or No?
No
Three line segments have measures of 4,6 and 8. Will the segments form a triangle?
Yes or No?
Yes
What is the sum of the interior angles of a triangle?
180 degrees
True or False: An equilateral triangle has three equal angles.
True
In a right triangle, what is the measure of the right angle?
90 degrees
Fill in the blank: The angles opposite to equal sides of an isosceles triangle are __________.
equal
What type of triangle has one angle greater than 90 degrees?
Obtuse triangle
What is the relationship between the exterior angle and the two opposite interior angles of a triangle?
The exterior angle is equal to the sum of the two opposite interior angles.
If one angle of a triangle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?
70 degrees
True or False: The angles of a triangle can be greater than 180 degrees.
False
What is an acute triangle?
A triangle where all angles are less than 90 degrees.
What is the formula for finding the area of a triangle?
Area = 1/2 * base * height
In a 30-60-90 triangle, what is the ratio of the lengths of the sides opposite the 30, 60, and 90-degree angles?
1 : √3 : 2
What is the term for a triangle with all sides of different lengths?
Scalene triangle
What is the Pythagorean theorem?
In a right triangle, a² + b² = c², where c is the hypotenuse.
Fill in the blank: The longest side of a right triangle is called the __________.
hypotenuse
True or False: The sum of the exterior angles of a triangle is always 360 degrees.
True
What is a supplementary angle?
Two angles that add up to 180 degrees.
If two angles of a triangle measure 45 degrees each, what type of triangle is it?
Isosceles triangle
What is the relationship between the sides of a triangle and the angles opposite those sides?
The larger the angle, the longer the opposite side.
