Geometry Chapter 1 Quiz Flashcards
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Questions and Answers

What is the distance formula?

  • Distance = (x2 - x1) + (y2 - y1)
  • Distance = √((x2 - x1)² + (y2 - y1)²) (correct)
  • Distance = |x2 - x1| + |y2 - y1|
  • Distance = (x2 + x1) / 2
  • What is the midpoint formula?

    (x1 + x2 / 2, y1 + y2 / 2)

    An angle bisector divides an angle into two congruent angles.

    True

    Collinear points are points that lie on the same plane.

    <p>False</p> Signup and view all the answers

    What are complementary angles?

    <p>A pair of angles whose measures have a sum of 90 degrees.</p> Signup and view all the answers

    Congruent figures are figures that are equal in measure.

    <p>True</p> Signup and view all the answers

    Coplanar refers to points that are on the same line.

    <p>False</p> Signup and view all the answers

    What defines a line in geometry?

    <p>A line contains points and has no thickness or width.</p> Signup and view all the answers

    What is the definition of a midpoint?

    <p>The halfway point between two endpoints.</p> Signup and view all the answers

    Perpendicular lines form angles that are all 60 degrees.

    <p>False</p> Signup and view all the answers

    Define a plane in geometry.

    <p>A flat surface made up of points that extends infinitely in all directions.</p> Signup and view all the answers

    What is a point in geometry?

    <p>A location without shape or size, denoted by a single letter.</p> Signup and view all the answers

    What is a segment bisector?

    <p>A line or line segment that divides a line segment into two congruent segments.</p> Signup and view all the answers

    What are supplementary angles?

    <p>A pair of angles whose measures have a sum of 180 degrees.</p> Signup and view all the answers

    What is a vertex?

    <p>The common endpoint of two rays that form an angle.</p> Signup and view all the answers

    Vertical angles are angles formed by two intersecting lines and are always congruent.

    <p>True</p> Signup and view all the answers

    Study Notes

    Key Geometry Concepts

    • Distance Formula: Calculates the distance between two points ((x1, y1)) and ((x2, y2)) using the formula ( \sqrt{(x2−x1)^2+(y2−y1)^2} ).

    • Midpoint Formula: Determines the midpoint between two endpoints ((x1, y1)) and ((x2, y2)) with the formula ( \left(\frac{x1+x2}{2}, \frac{y1+y2}{2}\right) ).

    • Angle Bisector: A line or ray that splits an angle into two equal angles, ensuring congruence.

    • Collinear Points: A collection of points that all lie on the same straight line.

    • Complementary Angles: Two angles whose measures add up to 90 degrees.

    • Congruent Angles: Angles that have the same measure, indicating equality.

    • Coplanar Points: Points that all exist within the same geometric plane.

    • Line Definition: A straight one-dimensional figure that extends infinitely in both directions, containing an infinite number of points and having no thickness.

    • Midpoint: The exact center point between two endpoints of a line segment.

    • Perpendicular Lines: Two lines that intersect to form four right angles (90 degrees each).

    • Plane: A flat two-dimensional surface with no thickness that extends infinitely; defined by at least three non-collinear points.

    • Point: An exact location in space, represented by a dot and labeled with a capital letter, having no dimensions.

    • Segment Bisector: A specific line or segment that divides another segment into two equal parts.

    • Supplementary Angles: Two angles that together total 180 degrees.

    • Vertex: The point where two lines or rays meet to form an angle.

    • Vertical Angles: Angles that are opposite each other when two lines intersect, known for being congruent (equal in measure).

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    Description

    Test your understanding of key concepts in Geometry Chapter 1 with these flashcards. This quiz covers essential definitions such as the Distance Formula, Midpoint Formula, and important terminologies like Angle Bisector and Complementary Angles. Perfect for review before an exam or to reinforce learning.

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