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Q 1/20
Score 0
In a triangle ABC, if angle A is an exterior angle, what inequality must be true regarding angle A and angles B and C?
30
Angle A < Angle B + Angle C
Angle A > Angle B + Angle C
Angle A = Angle B + Angle C
Angle A = Angle B
Q 2/20
Score 0
In triangle XYZ, which of the following must be true according to the triangle inequality theorem?
30
The sum of the lengths of any two sides must be greater than the length of the third side.
The difference of the lengths of any two sides must be equal to the length of the third side.
All sides must have the same length.
The sum of the lengths of any two sides must be equal to the length of the third side.
20 questions
Q.
In a triangle ABC, if angle A is an exterior angle, what inequality must be true regarding angle A and angles B and C?
1
30 sec
Q.
In triangle XYZ, which of the following must be true according to the triangle inequality theorem?
2
30 sec
Q.
If in triangle DEF, angle D measures 70 degrees and angle E measures 50 degrees, what is the measure of the exterior angle at vertex F?
3
30 sec
Q.
If the sides of triangle GHI are 5 cm, 7 cm, and 10 cm, which of the following statements is true based on the triangle inequality theorem?
4
30 sec
Q.
In triangle JKL, if the measure of angle J is 40 degrees and the measure of angle K is 60 degrees, what is the measure of the exterior angle at vertex L?
5
30 sec
Q.
Which statement is true regarding the exterior angle inequality for triangle MNO?
6
30 sec
Q.
In triangle PQR, if the side lengths are 4 cm, 6 cm, and 9 cm, can these form a valid triangle?
7
30 sec
Q.
If triangle STU has sides measuring 8 cm, 15 cm, and 17 cm, which of the following statements is true according to the triangle inequality theorem?
8
30 sec
Q.
In triangle ABC, if side AB measures 3 cm, side BC measures 4 cm, and side AC measures 5 cm, what type of triangle is it based on its side lengths?
9
30 sec
Q.
If in triangle VWX, angle V is an exterior angle measuring 110 degrees, and angle W measures 45 degrees, what is the measure of angle X?
10
30 sec
Q.
If a triangle has sides of lengths 5, 12, and x, what is the range of possible values for x?
11
30 sec
Q.
In a triangle, one of the interior angles measures 65 degrees, and its exterior angle is 115 degrees. What can we conclude about the sum of the other two interior angles of the triangle?
12
30 sec
Q.
In triangle ABC, angle A measures 50 degrees and angle B measures 60 degrees. What is the measure of the exterior angle at vertex C?
13
30 sec
Q.
If triangles have sides of lengths 3, 4, and y, what inequality must y satisfy to form a valid triangle?
14
30 sec
Q.
In triangle DEF, if angle D measures 40 degrees and angle E measures 70 degrees, what is the range of possible measures for angle F?
15
30 sec
Q.
Which of the following inequalities must be true for a triangle with sides of lengths 8, 15, and z to exist?
16
30 sec
Q.
In triangle GHI, if angle G measures 45 degrees and its exterior angle is 135 degrees, what is the measure of angle H?
17
30 sec
Q.
If a triangle has sides with lengths 6, 8, and x, which of the following is a valid range for x?
18
30 sec
Q.
In triangle JKL, angle J measures 55 degrees and its exterior angle is 125 degrees. What is the measure of angle K?
19
30 sec
Q.
In triangle MNO, the measures of angle M and angle N are 35 degrees and 85 degrees, respectively. What is the measure of the exterior angle at vertex O?