Triangles are classified in two different ways. These ways are?
What is by their angles and by their sides.
100
All interior angles of a triangle add up to ...?
What is 180
100
How many medians are there in each triangle and where do they intersect the opposite side?
What is 3 medians, the meet at the opposite midpoint
100
What are angle bisectors?
They are segments that cut an angle in half
100
In triangle ABC, state the angles from largest to smallest. AB=19, BC=18, CA=16.
Angles: B, A, C
200
The three ways you can classify triangles based on their sides. These are?
What is and equilateral triangle, isosceles triangle and scalene triangle.
200
What does the exterior angle theorem for triangles state?
The measures of an exterior angle is a triangle is equal to the sum of the measures of the two remote interior angles.
200
How does an altitude intersect the opposite side.
Meets opposite side at 90 degrees
200
Do perpendicular bisectors cut an angle in half or a side?
Side
200
State if the three numbers can be the measures of the sides of a triangle. 12, 14, 7
YES
300
There are four ways to classify a triangle based on their angles. These are?
What is an acute triangle, an equiangular triangle, and obtuse triangle and a right triangle.
300
In a right triangle, two angles are not equal to 90. What is the sum of those two angles, and what is a vocab word to describe angles that add to that number?
90, Complementary
300
The figure shows a triangle with one of its medians (segment CJ). Find the value of x.
What is x = 10.
300
In the figure, segment UP is an angle bisector, what is the value of x?
What is x=7
300
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 11, 6
What is 5 < x < 17
400
Explain the all 7 types of ways to classify triangles.
What is:
Acute Triangle - has 3 acute angles (each less than 90 degrees)
Obtuse Triangle - has 1 obtuse angle (between 90 < x < 180 degrees)
Right Triangle - has 1 right angle (angle equals 90 degrees)
Equiangular Triangle - 3 congruent angles (all equal to 60 degrees)
Equilateral Triangle - 3 congruent sides
Isosceles Triangle - at least 2 congruent sides
Scalene Triangle - no congruent sides
400
Find the value of x and the measure of angle A in the given figure.
x = 6
angle A = 44 degrees
400
Given the following coordinates, A(-1, 11), B(3, 1), and C(7, 6) find the coordinates of P. Segment CP is a median.
What is (1, 6)
400
Two angles of a triangle are 121 degrees and 17. The third is cut into two pieces by an angle bisector. What is the measure of each of those pieces?
21 degrees
400
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 8, 10
What is 2 < x < 18
500
In Triangle ABC, angle A and angle B are congruent. What do you know about this triangle, what is the value of x, and what is the measure of segment AC
What is an Isosceles Triangle, x = 11 and AC = 29
500
Find the measure of the vertex angle of an isosceles triangle if one base angle is 64 degrees.
52 degrees
500
In what type of triangle is the median and altitude the same segment?
Isosceles (or equilateral)
500
Given the coordinates of the triangle ABC, A(3, 7), B(13, 5), C(6, 2), what is the slope of the perpendicular bisector of segment AB? Answer must be fully simplified.
5
500
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 11.5 and 5.5