Given an isosceles triangle has one angle that measures 120 degrees, what are the two missing angles?
30 degrees, 30 degrees, and 120 degrees.
100
Triangle DEF D=60 degrees, E=45 degrees, F=75 degrees. Angle 1 is the exterior angle adjacent to angle F. What is the measure of angle 1?
105 degrees
100
Given BD is the median of triangle ABC. DA = 5, AB = 6, and BC = 7. What is the measure of CD?
CD = 5
100
Draw an angle bisector and label it with the necessary symbol(s).
An angle bisector divides an angle into 2 equal parts. You must draw matching "arcs"
100
Triangle ABC has the following side lengths: AB = 10, BC = 8, and CA = 11.
In the figure, state the angles from largest to smallest.
Angles: B,A,C
200
Given an isosceles triangle has one angle that measures 98 degrees, what are the two missing angles?
41 degrees, 41 degrees, and 98 degrees
200
Given triangle ABC where AC is the base and BD is the altitude. If angle A measures 55 degrees and C measures 30 degrees, find the measure of angle DBC?
Angle DBC measures 60 degrees
200
RW is the median of triangle RST. Given RW = 4x+4, SW=6x+2, and WT=4x+5. Find the value of x.
x=1.5
200
Given W is the midpoint of RT, Draw a triangle where XW is the perpendicular bisector of triangle RST. Label your drawing with the necessary symbols.
a PERPENDICULAR BISECTOR creates right angles and bisects the side RT. Therefore, you need a right angle BOX and matching DASHES
200
State if the three numbers can be the measures of the sides of a triangle. 11, 14, 2. Explain your answer.
No because 11+2>14 is not true.
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
Acute angles of a right triangle are?
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 the orthocenter of the triangle.
What is (3, 6)
400
In the figure, segment FP is an angle bisector, what is the measure of angle 2?
What is the measure of angle 2 = 20 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 angle indicated in the following image.
The measure of angle H = 52 degrees
500
In the figure a triangle is given with one or more of its medians. Calculate the measure of segment MN.
What is segment MN = 14
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?
What is m = 5/1 or 5
500
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. (2x+22), (5x-7), and (x+7)