
Triangle Properties Review
Authored by Austin Riley
Mathematics
10th Grade
CCSS covered
Used 8+ times

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22 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If two angles in a triangle are 95° and 32°, what is the measure of the third angle?
53°
45°
60°
90°
Answer explanation
The sum of angles in a triangle is 180°. Adding the two given angles: 95° + 32° = 127°. Subtracting from 180° gives the third angle: 180° - 127° = 53°. Thus, the measure of the third angle is 53°.
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a triangle, if one angle is 30° and another is 60°, what is the measure of the third angle?
60°
70°
80°
90°
Answer explanation
In a triangle, the sum of all angles is 180°. Given angles of 30° and 60°, the third angle is calculated as 180° - 30° - 60° = 90°. Therefore, the measure of the third angle is 90°.
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is a correct statement about triangle side lengths?
3, 5, and 10 can form a triangle.
3, 4, and 5 cannot form a triangle.
3, 5, and 10 cannot form a triangle.
Answer explanation
The triangle inequality states that the sum of the lengths of any two sides must be greater than the length of the third side. For 3, 5, and 10, 3 + 5 = 8, which is not greater than 10, so they cannot form a triangle.
Tags
CCSS.7.G.A.2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following sets of lengths cannot form a triangle?
7 feet, 2 feet, 9 feet
5 cm, 10 cm, 12 cm
√10, 2 1/2, 5
Answer explanation
The lengths 7 feet, 2 feet, and 9 feet cannot form a triangle because they violate the triangle inequality theorem: 7 + 2 is not greater than 9.
Tags
CCSS.HSG.CO.C.10
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What type of triangle has three congruent sides?
Scalene triangle
Isosceles triangle
Equilateral triangle
Right triangle
Answer explanation
An equilateral triangle has three congruent sides, meaning all sides are of equal length. In contrast, a scalene triangle has no congruent sides, and an isosceles triangle has exactly two congruent sides. A right triangle is defined by having a right angle.
Tags
CCSS.4.G.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which triangle has one obtuse angle?
Right triangle
Acute triangle
Obtuse triangle
Equilateral triangle
Answer explanation
An obtuse triangle is defined as having one angle greater than 90 degrees, making it the only type of triangle that can have an obtuse angle. In contrast, right triangles have one 90-degree angle, and acute triangles have all angles less than 90 degrees.
Tags
CCSS.4.G.A.2
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which triangle has a right angle?
A
C
D
B
Answer explanation
Triangle C has a right angle, which is characterized by one angle measuring 90 degrees. The other triangles (A, B, D) do not have a right angle, making C the correct choice.
Tags
CCSS.HSG.SRT.B.4
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