Basics of Geometry

Description

A quiz on the geometry basics: constructing and bisecting angles, the steps to do inscribe shapes within circles, and basic geometry definitions.
Kate Larsen
Quiz by Kate Larsen, updated more than 1 year ago
Kate Larsen
Created by Kate Larsen over 4 years ago
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Resource summary

Question 1

Question
A [blank_start]plane[blank_end] is a flat surface that extends infinitely and has no thickness. A [blank_start]line segment[blank_end] is a part of a line that has two endpoints. A [blank_start]line[blank_end] is a series of points that extend in two directions without end. [blank_start]Parallel lines[blank_end] are lines that lie on the same plane and do not intersect. [blank_start]Perpendicular lines[blank_end] are two line that intersect at angles.
Answer
  • plane
  • line
  • line segment
  • line segment
  • line
  • parallel lines
  • line
  • line segment
  • plane
  • Parallel lines
  • Perpendicular lines
  • Plane
  • Perpendicular lines
  • Parallel lines
  • Line

Question 2

Question
Which of the following is a defined term?
Answer
  • Point
  • Line
  • Angle
  • Plane

Question 3

Question
Which of the following terms is a set of all points in a plane that are a given distance from a point?
Answer
  • Circle
  • Parallel line
  • Line segment
  • Ray

Question 4

Question
Which of these is a correct step in constructing congruent angles?
Answer
  • Use a compass and join points to make the new leg of the congruent triangle.
  • Use a straightedge to measure the width between the points where the first arc cuts both legs of the given angle.
  • Use a straightedge and draw an arc across the first arc from a leg.
  • Use a compass and draw an arc across both legs of the given angle.

Question 5

Question
Which of the following is the final step in bisecting an angle?
Answer
  • Mark the intersection point of the two arcs, and draw a ray from the vertex through the intersection point.
  • Swing an arc that intersects both rays of an angle.
  • Mark the intersection points of the rays and the arc.
  • Place the compass on one of these intersection points, and draw an arc inside the angle.

Question 6

Question
A compass and a straightedge are used to construct ∠DEF ≅ ∠ABC as shown in the image. Which statement best explains why the width HI was used to create the arc at J from Point K?
Answer
  • Angle BHI is equal to angle JKE when ∠DEF ≅ ∠ABC
  • ∠DEF ≅ ∠ABC when JK is constructed equal to HI
  • ∠DEF ≅ ∠ABC when EJ is constructed equal to HI
  • Angle HIB is equal to angle JEK when ∠DEF ≅ ∠ABC

Question 7

Question
When constructing an inscribed square, how many lines will be drawn in the circle?
Answer
  • 3
  • 5
  • 7
  • 2

Question 8

Question
A student is completing a construction of a regular hexagon inscribed in a circle as shown in the image. What should the next step in her construction be?
Answer
  • Construct another point E by placing her compass at point D.
  • Draw another circle from point B with the same radius as the original circle.
  • Construct a line perpendicular to the line AB to create four congruent quadrants.
  • Draw arcs above and below line AB to show where the angles meet.

Question 9

Question
Which of these is a step in constructing an inscribed regular hexagon using technology?
Answer
  • Draw line FG.
  • Mark the points of intersection between Circle A and Line AB.
  • Create circle B with radius AB.
  • Draw point E anywhere on segment DB.

Question 10

Question
A student is using a drawing program to complete a construction. Which construction could he be completing?
Answer
  • Inscribing an equilateral triangle in a circle.
  • Inscribing a regular hexagon in a circle.
  • Inscribing a regular pentagon in a circle.
  • Inscribing a square in a circle.
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