Introduction To Geometry: Lines, Angles, And Triangles

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| By Darladmanuel
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Darladmanuel
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Quizzes Created: 5 | Total Attempts: 12,931
Questions: 16 | Attempts: 734

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Questions and Answers
  • 1. 

    Two lines in a plane that never intersect or cross.

    • A.

      Supplementary lines

    • B.

      Parallel lines

    • C.

      Transversal lines

    • D.

      Perpendicular lines

    Correct Answer
    B. Parallel lines
    Explanation
    Parallel lines are two lines in a plane that never intersect or cross. They have the same slope and will always remain equidistant from each other. These lines can be found in various geometrical shapes and are commonly used in mathematics and engineering.

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  • 2. 

    Angles that have the same vertex, share a common side and do not overlap.

    • A.

      Complementary angles

    • B.

      Vertical angles

    • C.

      Adjacent angles

    • D.

      Supplementary angles

    Correct Answer
    C. Adjacent angles
    Explanation
    Adjacent angles are angles that have the same vertex, share a common side, and do not overlap. This means that the two angles are next to each other and are connected at one point. They do not overlap or intersect.

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  • 3. 

    Angles that measure less than 90 degrees.

    • A.

      Acute angles

    • B.

      Obtuse angles

    • C.

      Right angles

    • D.

      Straight angles

    Correct Answer
    A. Acute angles
    Explanation
    Acute angles are angles that measure less than 90 degrees. This means that the measure of the angle is smaller than a right angle (90 degrees) or a straight angle (180 degrees). Therefore, the given answer "Acute angles" correctly describes angles that measure less than 90 degrees.

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  • 4. 

    Angles that have measures equal to 180 degrees.

    • A.

      Acute angles

    • B.

      Obtuse angles

    • C.

      Right angles

    • D.

      Straight angles

    Correct Answer
    D. Straight angles
    Explanation
    Straight angles are angles that have measures equal to 180 degrees. A straight angle forms a straight line, and the sum of its measures is always 180 degrees. This means that a straight angle is larger than a right angle (90 degrees) and both acute and obtuse angles. Straight angles are characterized by their straightness and lack of curvature, and they divide a circle into two equal halves.

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  • 5. 

    Lines that intersect at right angles.

    • A.

      Transversal lines

    • B.

      Perpendicular lines

    • C.

      Parallel lines

    • D.

      Alternating lines

    Correct Answer
    B. Perpendicular lines
    Explanation
    Perpendicular lines are lines that intersect at a right angle. This means that the two lines form a 90-degree angle where they meet. Unlike parallel lines, which never intersect, or transversal lines, which intersect at any angle, perpendicular lines have a specific angle of intersection. Therefore, the correct answer is perpendicular lines.

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  • 6. 

    Opposite angles that are formed by intersecting lines and is also an angle type that is congruent.

    • A.

      Adjacent angles

    • B.

      Vertical-adjacent angles

    • C.

      Vertical angles

    • D.

      Adjacent-vertical angles

    Correct Answer
    C. Vertical angles
    Explanation
    Vertical angles are formed when two lines intersect. They are opposite angles and are congruent to each other. This means that the measure of one vertical angle is equal to the measure of the other vertical angle. Therefore, the correct answer is vertical angles.

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  • 7. 

    Angle pairs that has the sum of their measures that equal 90 degrees.

    • A.

      Straight angles

    • B.

      Right angles

    • C.

      Supplementary angles

    • D.

      Complementary angles

    Correct Answer
    D. Complementary angles
    Explanation
    Complementary angles are pairs of angles that, when added together, equal 90 degrees. This means that the sum of their measures is equal to a right angle. Therefore, complementary angles are the correct answer because they satisfy the condition stated in the question. Straight angles have a measure of 180 degrees, right angles have a measure of 90 degrees, and supplementary angles have a sum of 180 degrees, but none of these options meet the requirement of having a sum of 90 degrees.

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  • 8. 

    Angles that measure greater than 90 degrees and less than 180 degress.

    • A.

      Acute angles

    • B.

      Obtuse angles

    • C.

      Right angles

    • D.

      Straight angles

    Correct Answer
    B. Obtuse angles
    Explanation
    Obtuse angles are angles that measure greater than 90 degrees and less than 180 degrees. These angles are larger than a right angle (which measures 90 degrees) but smaller than a straight angle (which measures 180 degrees). In other words, obtuse angles are wider than a right angle but not as wide as a straight angle.

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  • 9. 

    A line that intersects two or more other lines.

    • A.

      Perpendicular lines

    • B.

      Parallel lines

    • C.

      Transversal lines

    • D.

      Similar lines

    Correct Answer
    C. Transversal lines
    Explanation
    A transversal line is a line that intersects two or more other lines. It is not parallel or perpendicular to the other lines, but rather cuts across them. This type of line is commonly used in geometry to determine angles and relationships between different lines.

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  • 10. 

    Having the same measure.

    • A.

      Obtuse

    • B.

      Acute

    • C.

      Concrete

    • D.

      Congruent

    Correct Answer
    D. Congruent
    Explanation
    Congruent means having the same measure or size. In the context of this question, the options "obtuse," "acute," and "concrete" do not relate to having the same measure. However, "congruent" does align with the given definition. Therefore, "congruent" is the correct answer.

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  • 11. 

    Angle pairs that have the sum of the measure of their angles that equal 180 degrees.

    • A.

      Supplementary angles

    • B.

      Complementary angles

    • C.

      Obtuse angles

    • D.

      Right angles

    Correct Answer
    A. Supplementary angles
    Explanation
    Supplementary angles are pairs of angles that add up to 180 degrees. This means that when you add the measures of the angles in a pair, the sum will always be equal to 180 degrees. Therefore, supplementary angles are the correct answer because they satisfy the condition mentioned in the question. Complementary angles have a sum of 90 degrees, obtuse angles are greater than 90 degrees, and right angles are exactly 90 degrees, so they do not meet the requirement of having a sum of 180 degrees.

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  • 12. 

    Angles that have measure that are equal to 90 degrees.

    • A.

      Straight angles

    • B.

      Obtuse angles

    • C.

      Right angles

    • D.

      Acute angles

    Correct Answer
    C. Right angles
    Explanation
    Right angles have a measure of 90 degrees. They are formed when two lines intersect and create a square corner. In a right angle, one side of the angle is vertical and the other is horizontal, creating a perfect L shape. Right angles are commonly found in geometric shapes such as squares and rectangles, as well as in everyday objects like corners of buildings or furniture. They are important in geometry and have various applications in fields such as architecture, engineering, and design.

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  • 13. 

    Three line segments that intersect only at their end points

    • A.

      Triangle

    • B.

      This is not a correct answer choice.

    Correct Answer
    A. Triangle
    Explanation
    A triangle is formed by three line segments that intersect only at their end points. In a triangle, each line segment connects two of the end points, forming three sides. Therefore, the given answer, "Triangle," is correct.

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  • 14. 

    A triangle with three congruent sides.

    • A.

      Equilateral triangle

    • B.

      This is not the correct answer choice.

    Correct Answer
    A. Equilateral triangle
    Explanation
    An equilateral triangle is a triangle with three congruent sides. Since the given statement describes a triangle with three congruent sides, it matches the definition of an equilateral triangle. Therefore, the correct answer is equilateral triangle.

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  • 15. 

    A triangle with no congruent sides.

    • A.

      Scalene triangle

    • B.

      This is not the correct answer choice.

    Correct Answer
    A. Scalene triangle
    Explanation
    A scalene triangle is a triangle that has no congruent sides. In other words, all three sides of a scalene triangle have different lengths. This is different from an isosceles triangle, which has at least two congruent sides, or an equilateral triangle, which has all three sides congruent. Therefore, the given answer, "Scalene triangle," is correct.

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  • 16. 

    The name for a geometric shape that has 3 sides and angles. It is also 3 line segments that only intersect at their endpoints.

    • A.

      This is not the correct answer choice.

    • B.

      Triangle

    Correct Answer
    B. Triangle
    Explanation
    A triangle is a geometric shape that has three sides and three angles. It is formed by three line segments that intersect only at their endpoints. The name "triangle" accurately describes this shape, making it the correct answer choice.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 27, 2009
    Quiz Created by
    Darladmanuel
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