Geometry - Triangles

8 important questions on Geometry - Triangles

What is a vertex (or vertices for plural)?

Each corner where 2 line segments meet is called a vertex

TRUE or False: the sum of the 3 angles inside any triangle is exactly 180 degrees

True (proven by Euclid)

What is the difference between an acute angle, a right angle and an obtuse angle?

An acute angle: less than 90 degrees
A right angle: exactly 90 degrees
An obtuse angle: more than 90 degrees
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Can a triangle have 2 right angles or 2 obtuse angles? Why or why not?

No because the sum of the angles is always a 180 degrees, (2 rights would already be 180, so what would the degree of the third angle be? And obtuse is bigger than 0 so that times 2 would not work either)

True or false: atleast 2 of the angles of a triangle must be acute; the third could be acute, right or obtuse.

True

True or false:
The largest angle is always opposite the longest side and the smallest angle is always opposite the shortest side

True

What is the triangle inequality theorem?

The triangle inequality theorem states that: "In any triangle, the sum of any 2 sides must be greater than the third side."

What are congruent angles?

Congruent angles are the same in size: for exmaple both are 60 degrees.

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