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Questions and Answers
What is the main conclusion of the midpoint theorem in a triangle?
What is the main conclusion of the midpoint theorem in a triangle?
- The angle at the midpoint of a triangle's side measures 90 degrees.
- The line segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. (correct)
- The perpendicular drawn from the vertex of a triangle to the opposite side bisects the side.
- The line segment bisecting the angle of a triangle is perpendicular to the opposite side.
According to the Pythagorean theorem, what is the relationship between the sides of a right triangle?
According to the Pythagorean theorem, what is the relationship between the sides of a right triangle?
- The sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. (correct)
- The product of the lengths of the legs is equal to the area of the right triangle.
- The sum of the lengths of the legs is equal to the length of the hypotenuse.
- The ratio of the hypotenuse to the opposite side is equal to the sine of the angle.
In the context of arcs in circles, what is an inscribed angle?
In the context of arcs in circles, what is an inscribed angle?
- An angle formed by two radii of the circle.
- An angle whose vertex is on the circumference of the circle and is equal to 90 degrees.
- An angle whose vertex is on the circle and whose sides contain chords of the circle. (correct)
- An angle whose vertex is at the center of the circle.
Which of the following statements about rational fractions is correct?
Which of the following statements about rational fractions is correct?
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Which equation is an example of a remarkable identity?
Which equation is an example of a remarkable identity?
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