Direction: Use the given three triangles, follow the instruction and answer the questions that follow.
1.Name the three triangles each in three ways. How about in 6 ways?
2.Name the vertices and angles of each triangle.
3.Using your protractor, measure the angles of each triangle.
4.Find the sum measure of the angles of each triangle.
5.Did you find a triangle with a right angle? If there is any, how many right angles you found in one triangle? Is it possible to have two or three right angles in one triangle? Explain your answer
6.Did you find a triangle with an obtuse angle? If there is any, how many obtuse angles you found in one triangle? Is it possible to have two or three obtuse angles in one triangle? Explain your answer.
Answers & Comments
Answer:
1. The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.
2. A triangle has three angles. The three angles of the triangle ABC are ∠ABC, ∠BCA, and ∠CAB. These angles are also called ∠B, ∠C, and ∠A, respectively. The point of intersection of any two sides of a triangle is known as a vertex.
3. To measure an angle using a protractor, follow the steps below.
Line up the vertex of the angle with the dot at the center of the protractor.
Line up one side of the angle with 0 degrees on the protractor.
Read the protractor to see where the other side of the angle crosses the number scale.
4. The sum of the three angles of any triangle is equal to 180 degrees.
5. No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.
6. No, a triangle cannot have two obtuse angles, as the sum of the three angles cannot exceed 180 degrees.
Step-by-step explanation:
I know I did not give you the answers but I hope I explained it good enough for you to be able to do it on your own.
Hope it helps! <3
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