Geometry Problems

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Questions and Answers

Two angles are complementary. If one angle measures 35 degrees, what is the measure of the other angle?

  • 145 degrees
  • 55 degrees (correct)
  • 35 degrees
  • 65 degrees

Which of the following statements is always true regarding vertical angles?

  • They are congruent. (correct)
  • They are acute.
  • They are complementary.
  • They are supplementary.

A triangle has sides with lengths of 5 cm and 8 cm. Which of the following lengths could be the length of the third side, according to the Triangle Inequality Theorem?

  • 12 cm (correct)
  • 3 cm
  • 2 cm
  • 14 cm

What is the area of a circle with a diameter of 10 units?

<p>$25\pi$ square units (B)</p> Signup and view all the answers

A line segment has endpoints at (1, 2) and (4, 6). What is the midpoint of this line segment?

<p>(2.5, 4) (A)</p> Signup and view all the answers

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm.

<p>$63\pi$ cubic cm (D)</p> Signup and view all the answers

A square has an area of 64 square inches. What is the length of one of its diagonals?

<p>$8\sqrt{2}$ inches (D)</p> Signup and view all the answers

If the line y = 2x + 3 is reflected over the y-axis, what is the equation of the new line?

<p>y = -2x + 3 (C)</p> Signup and view all the answers

A regular hexagon is inscribed in a circle. If the radius of the circle is 4, what is the length of each side of the hexagon?

<p>4 (D)</p> Signup and view all the answers

What is the surface area of a cube with a side length of 5 cm?

<p>150 sq cm (C)</p> Signup and view all the answers

Flashcards

What is a Point?

A location in space that has no dimension.

What is a line?

An infinitely long, straight path with no width.

What is a plane?

A flat, two-dimensional surface that extends infinitely far.

What is an Acute Angle?

An angle measuring between 0 and 90 degrees.

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What is a Right Angle?

An angle measuring exactly 90 degrees.

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What is an Obtuse Angle?

An angle measuring between 90 and 180 degrees.

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What are Parallel Lines?

Lines in a plane that do not intersect and have the same slope.

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What are Perpendicular Lines?

Lines that intersect at a right angle (90 degrees).

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What is a polygon?

A closed, two-dimensional shape formed by straight line segments (sides).

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What is a Triangle?

A polygon with three sides and three angles.

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Study Notes

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