Podcast
Questions and Answers
If a triangle has sides of length 5 and 8, which of the following lengths could NOT be the length of the third side?
If a triangle has sides of length 5 and 8, which of the following lengths could NOT be the length of the third side?
- 4 (correct)
- 6
- 12
- 10
Which of the following is NOT a fundamental property of a triangle?
Which of the following is NOT a fundamental property of a triangle?
- It is formed by three non-collinear points.
- It is a closed figure.
- The sum of any two sides is greater than the third side.
- It can be formed using only two line segments. (correct)
In $\triangle PQR$, which of the following notations correctly represents an angle of the triangle?
In $\triangle PQR$, which of the following notations correctly represents an angle of the triangle?
- $\overrightarrow{PQ}$
- $\overline{PR}$
- $\triangle QRP$
- $\angle RPQ$ (correct)
Which of the following sets of information completely describes the 'six parts' of $\triangle DEF$?
Which of the following sets of information completely describes the 'six parts' of $\triangle DEF$?
If $\angle A$ in $\triangle ABC$ measures 60 degrees and the exterior angle at vertex B measures 120 degrees, what is the measure of $\angle C$?
If $\angle A$ in $\triangle ABC$ measures 60 degrees and the exterior angle at vertex B measures 120 degrees, what is the measure of $\angle C$?
Flashcards
What is a triangle?
What is a triangle?
A closed shape formed by three line segments.
What are non-collinear points?
What are non-collinear points?
Three points that do not lie on the same straight line.
Triangle sides (AB, BC, CA)
Triangle sides (AB, BC, CA)
The three line segments that form a triangle.
What are triangle angles?
What are triangle angles?
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Triangle Inequality Theorem
Triangle Inequality Theorem
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Study Notes
Properties of Triangles
- A triangle is bounded by three line segments
- It is determined by three non-collinear points
- It is formed by the three line segments AB, BC and CA
- Triangle ABC is denoted by ΔABC
- Angles ∠BAC, ∠ABC, and ∠BCA can be denoted by ∠A, ∠B, etc.
- The three angles of a triangle together are called the six parts
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