QuestionIdentify the true statements about triangles:
1. They have one right angle.
2. They are polygons.
3. They have 3 straight sides.
4. They are plane figures.
5. They have 3 angles.
Studdy Solution
STEP 1
Assumptions1. We are working with the standard definitions of triangles, polygons, and plane figures.
. A triangle is a polygon with three edges and three vertices.
3. A plane figure is a flat figure that lies entirely in one plane.
4. A right angle is an angle of exactly90°.
STEP 2
Let's evaluate each statement one by one.First statement "All triangles have one right angle."
This statement is false. While some triangles (right triangles) do have one right angle, not all triangles do. For example, an equilateral triangle has three angles, each of which is60 degrees.
STEP 3
Second statement "Only some triangles are polygons."
This statement is false. By definition, all triangles are polygons. A polygon is a closed figure with straight sides, and a triangle, with its three straight sides, fits this definition.
STEP 4
Third statement "All triangles have3 straight sides."
This statement is true. By definition, a triangle is a polygon with three edges and three vertices. Therefore, all triangles have three straight sides.
STEP 5
Fourth statement "All triangles are plane figures."
This statement is true. A plane figure is a flat figure that lies entirely in one plane. Since a triangle is a flat figure with three straight sides, it is a plane figure.
STEP 6
ifth statement "All triangles have3 angles."
This statement is true. By definition, a triangle is a polygon with three edges and three vertices. Therefore, all triangles have three angles.
So, the statements "All triangles have3 straight sides.", "All triangles are plane figures.", and "All triangles have3 angles." are true.
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