Basic Geometry Practice Test

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  • 1/10 Questions

    The Pythagoras theorem is related to which shape?

    • Triangle
    • Rectangle
    • Circle
    • All of the above
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About This Quiz

Geometry is a field of mathematics that studies sizes, shapes, positions angles, and dimensions of things. Geometry is one of the oldest and most important branches of mathematics.
This is a mathematical quiz focusing on the basics of geometry. Want to be great at geometry? Want to ace the upcoming geometry exam? Take this quiz and do so!

Basic Geometry Practice Test - Quiz

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  • 2. 

    Has perpendicular diagonals

    Explanation
    All three shapes, the rhombus, square, and kite, have perpendicular diagonals. In a rhombus, the diagonals are perpendicular and bisect each other. In a square, the diagonals are also perpendicular and bisect each other at right angles. In a kite, the diagonals are perpendicular and intersect at one point. Therefore, all three shapes satisfy the criteria of having perpendicular diagonals.

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  • 3. 

    A _____ has 0 vertices and 0 edges.

    Explanation
    A circle is a closed curve that is formed by all points in a plane that are equidistant from a fixed center point. It has no vertices because it is a smooth, continuous curve without any sharp corners or points. Additionally, a circle has no edges because it is not made up of line segments. Instead, it is a single, unbroken curve. Therefore, a circle has 0 vertices and 0 edges.

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  • 4. 

    An isosceles triangle has legs that are congruent

    • True

    • False

    Correct Answer
    A. True
    Explanation
    In an isosceles triangle, the two legs are equal in length. This is because an isosceles triangle has two congruent angles, which means that the two sides opposite those angles are also congruent. Therefore, the statement that an isosceles triangle has legs that are congruent is true.

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  • 5. 

    A square has perpendicular diagonals

    • Always

    • Sometimes

    • Never

    Correct Answer
    A. Always
    Explanation
    A square is a special type of quadrilateral where all sides are equal in length and all angles are right angles. Perpendicular diagonals are diagonals that intersect at a right angle. In a square, the diagonals are always perpendicular because the opposite sides are parallel and the angles between them are right angles. Therefore, the correct answer is "Always".

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  • 6. 

    The circumference of a circle is calculated as

    •  π times the diameter

    • ( π times the radius) x 2

    • Both

    • None of the above

    Correct Answer
    A. Both
    Explanation
    The correct answer is "Both" because the circumference of a circle can be calculated using either the formula π times the diameter or ( π times the radius) x 2. Both formulas will give you the same result, which is the distance around the circle.

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  • 7. 

    Perpendicular is the shortest distance between a line and a point

    • True

    • False

    • Sometimes

    Correct Answer
    A. True
    Explanation
    The statement is true because in geometry, the perpendicular line is defined as the line that forms a 90-degree angle with another line or surface. When a line is perpendicular to a point, it forms the shortest distance between the line and the point. This can be visualized by imagining a line and a point, and drawing a line perpendicular to the original line that passes through the given point. The perpendicular line will be the shortest distance between the original line and the point.

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  • 8. 

    A rectangle is a square.

    • Always

    • Sometimes

    • Never

    Correct Answer
    A. Sometimes
    Explanation
    A rectangle is a quadrilateral with four right angles, but it does not necessarily have equal sides. A square, on the other hand, is a special type of rectangle with all sides equal in length. Therefore, while a square can be classified as a rectangle, not all rectangles can be classified as squares. Hence, the statement "A rectangle is a square" is sometimes true, depending on whether the rectangle in question has equal sides or not.

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  • 9. 

    A ____ has two pairs of equal adjacent sides.

    Correct Answer
    Kite
    Explanation
    A kite is a quadrilateral that has two pairs of equal adjacent sides. This means that two sides next to each other are of equal length, and the other two sides next to each other are also of equal length. This property distinguishes a kite from other quadrilaterals, such as squares or rectangles, which have all four sides of equal length. Therefore, a kite is the correct answer to the given question.

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  • 10. 

    What are the properties of a rhombus

    Correct Answer
    Has perpendicular diagonals Diagonals bisect the angles Properties 1-5 of Parallelogram Equilateral
    Explanation
    A rhombus has perpendicular diagonals, meaning that the diagonals intersect at a right angle. The diagonals also bisect the angles of the rhombus, dividing each angle into two equal parts. Additionally, a rhombus has all the properties of a parallelogram, including opposite sides that are parallel and congruent, opposite angles that are congruent, consecutive angles that are supplementary, and diagonals that bisect each other. Finally, a rhombus is also equilateral, meaning that all four sides are congruent in length.

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  • Current Version
  • Jul 29, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 01, 2009
    Quiz Created by
    Mathjunkie
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