Angles-Triangle-PythagoreanTheor-Converse-Midsegments Assessment

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Can a triangle be formed with side lengths 5 cm, 8 cm, and 10 cm?

Back

Yes, a triangle can be formed with these side lengths.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If UV is a midsegment of triangle FGH, what is the relationship between UV and the third side?

Back

The length of the midsegment UV is half the length of the third side FG.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the converse of the Pythagorean Theorem?

Back

The converse of the Pythagorean Theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Front

Can a triangle be formed with side lengths 33 cm, 10 cm, and 47 cm?

Back

No, a triangle cannot be formed with these side lengths.

Front

What does it mean for the longest side of a triangle?

Back

The longest side of a triangle is always opposite the largest angle.

Front

If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, is it a right triangle?

Back

Yes, it is a right triangle because 7² + 24² = 25².

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.