Coordinate Plane Geometry

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Questions and Answers

Point A is located 5 units to the left of the y-axis and 3 units above the x-axis. What are the coordinates of point A?

  • (5, 3)
  • (3, 5)
  • (3, -5)
  • (-5, 3) (correct)

A polygon is drawn on a coordinate plane with vertices at (1, 1), (4, 1), (4, 5), and (1, 5). What type of polygon is it?

  • Triangle
  • Trapezoid
  • Rectangle (correct)
  • Pentagon

A line segment on the coordinate plane has endpoints at (2, -3) and (2, 7). What is the length of this line segment?

  • 14 units
  • 5 units
  • 4 units
  • 10 units (correct)

A right triangle has vertices at (1, 1), (1, 5), and (4, 1). What is the length of the hypotenuse?

<p>5 (C)</p> Signup and view all the answers

A triangle with vertices at (0, 0), (2, 0), and (1, 2) is slid 3 units to the right. What are the new coordinates of the vertices?

<p>(3, 0), (5, 0), (4, 2) (B)</p> Signup and view all the answers

A square with vertices at (1, 1), (2, 1), (2, 2), and (1, 2) is reflected over the x-axis. What are the new coordinates of the vertices?

<p>(1, -1), (2, -1), (2, -2), (1, -2) (A)</p> Signup and view all the answers

A point at (1, 0) is rotated 90 degrees counterclockwise about the origin. What are the new coordinates of the point?

<p>(0, 1) (D)</p> Signup and view all the answers

Two parallel lines are cut by a transversal. Which of the following pairs of angles are always supplementary?

<p>Same-side interior angles (D)</p> Signup and view all the answers

Two parallel lines are cut by a transversal. One of the angles formed measures 60 degrees. What is the measure of its corresponding angle?

<p>60 degrees (A)</p> Signup and view all the answers

Which of the following conditions must be met for a polygon to be considered regular?

<p>All sides must be of equal length and all angles must be of equal measure. (C)</p> Signup and view all the answers

Which of the following is true of a convex polygon?

<p>All interior angles are less than 180 degrees. (B)</p> Signup and view all the answers

A triangle has angles measuring 30 degrees, 60 degrees and 90 degrees. How can this triangle be classified?

<p>Scalene and right (C)</p> Signup and view all the answers

A quadrilateral has two pairs of parallel sides, but no right angles, and all four sides are of equal length. How is it classified?

<p>Rhombus (B)</p> Signup and view all the answers

Two parallel lines are intersected by a transversal. If one of the angles measures 110 degrees, what is the measure of the adjacent angle on the same line?

<p>70 degrees (C)</p> Signup and view all the answers

A quadrilateral has only one pair of parallel sides. What type of quadrilateral is it?

<p>Trapezoid (B)</p> Signup and view all the answers

If a polygon has an interior angle that measures 200 degrees, what type of polygon is it?

<p>Concave (B)</p> Signup and view all the answers

A triangle has two sides that are equal in length. What classifications apply to this triangle?

<p>Isosceles (B)</p> Signup and view all the answers

Two angles are formed on the same side of a transversal intersecting two parallel lines. The angles are on the exterior of the parallel lines. The angles must be:

<p>Same-side exterior angles (B)</p> Signup and view all the answers

A square is altered so that one pair of sides is stretched, while the other pair remain the same length. The angles are also not right angles. What shape has been created?

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

What is the measure of an angle that is complementary to a 55-degree angle?

<p>35 degrees (D)</p> Signup and view all the answers

Flashcards

Coordinate Plane

A plane formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis).

Locate a Point

To pinpoint the exact position of a point on a coordinate plane using an ordered pair of numbers (x, y).

Polygon

A closed figure formed by three or more line segments.

Slide (Translation)

A movement of a figure along a straight line without changing its size or shape.

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Reflect (Reflection)

A transformation that creates a mirror image of a figure over a line.

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Rotate (Rotation)

A transformation that turns a figure around a fixed point.

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Angles Formed by Transversal

Angles formed when a line (transversal) intersects two parallel lines.

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Regular Polygon

A polygon where all sides and all angles are equal.

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Convex Polygon

A polygon where all interior angles are less than 180 degrees.

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Concave Polygon

A polygon with one or more interior angles greater than 180 degrees.

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Classify Triangles

Triangles classified by their angles (acute, right, obtuse) and sides (equilateral, isosceles, scalene).

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Classify Quadrilaterals

Quadrilaterals classified by their properties (squares, rectangles, parallelograms, trapezoids, etc.).

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Study Notes

  • The chapter covers coordinate planes and geometry.
  • Points are named and located on the coordinate plane.
  • Polygons are drawn and identified on a coordinate plane.
  • Lengths of horizontal and vertical line segments on a coordinate plane are determined.
  • Side lengths of a right triangle are found.
  • Figures are slid, reflected, and rotated on the coordinate plane.
  • Angles formed when parallel lines are cut by a transversal are named.
  • The measure of angles formed when parallel lines are cut by a transversal is found.
  • Whether a polygon is regular is determined.
  • Whether a polygon is convex or concave is stated.
  • Triangles are classified.
  • Quadrilaterals are classified.

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