1) Multiple Choice: What is the correct notation for a point?
a. point \(a\)
b. point \(A\)
c. \(\bullet\)
d. \(n\)
2) Select all that apply: What is the correct notation for a line? (choose 2)
a. \(\overleftrightarrow{ABC}\)
b. \(\overleftrightarrow{AB}\)
c. \(\overleftrightarrow{A}\)
d. \(\overleftrightarrow{ab}\)
e. line \(l\)
f. \(\overline{AB}\)
3) Select all that apply: What is the correct notation for a plane? (choose 2)
a. plane \(ABC\)
b. plane \(\mathcal{H}\)
c. plane \(AB\)
d. plane \(A\)
4) Multiple Choice: What is the correct notation for a segment?
a. \(\overline{ABC}\)
b. \(\overline{AB}\)
c. \(\overline{A}\)
d. \(\overline{ab}\)
5) Multiple Choice: What is the correct notation for a ray?
a. \(\overleftarrow{ABC}\)
b. \(\overrightarrow{A}\)
c. \(\overrightarrow{AB}\)
d. \(\overline{ab}\)
e. \(\overrightarrow{ab}\)
6) Select all that apply: What is the correct notation for an angle? (choose 3)
a. \(\angle A\)
b. \(\angle 1\)
c. \(\angle ABC\)
d. \(\angle AB\)
e. \(\angle a\)
a. point \(a\)
b. point \(A\)
c. \(\bullet\)
d. \(n\)
2) Select all that apply: What is the correct notation for a line? (choose 2)
a. \(\overleftrightarrow{ABC}\)
b. \(\overleftrightarrow{AB}\)
c. \(\overleftrightarrow{A}\)
d. \(\overleftrightarrow{ab}\)
e. line \(l\)
f. \(\overline{AB}\)
3) Select all that apply: What is the correct notation for a plane? (choose 2)
a. plane \(ABC\)
b. plane \(\mathcal{H}\)
c. plane \(AB\)
d. plane \(A\)
4) Multiple Choice: What is the correct notation for a segment?
a. \(\overline{ABC}\)
b. \(\overline{AB}\)
c. \(\overline{A}\)
d. \(\overline{ab}\)
5) Multiple Choice: What is the correct notation for a ray?
a. \(\overleftarrow{ABC}\)
b. \(\overrightarrow{A}\)
c. \(\overrightarrow{AB}\)
d. \(\overline{ab}\)
e. \(\overrightarrow{ab}\)
6) Select all that apply: What is the correct notation for an angle? (choose 3)
a. \(\angle A\)
b. \(\angle 1\)
c. \(\angle ABC\)
d. \(\angle AB\)
e. \(\angle a\)
For problems 10-15, use the diagram:
10) Plane \(\mathcal{P}\) and plane \(\mathcal{Q}\) intersect. Name the object that defines the intersection. Use correct notation.
11)Line \(\ell\) and line \(n\) intersect. Name the object that defines the intersection. Use correct notation 12) Identify a pair of opposite rays. Use correct notation. 13) Including point \(A\), name three collinear points. 14) Including point \(A\), name three coplaner points. 15) Name the indicated angle (the one with the arc). Use correct notation. |
16) A "point" is a geometric object with zero dimensions. It has no length, width, or depth, therefore it has no measurable distance, size, area, or volume. When asked about points, we want to know about their location.
a. Place point \(A\) at \( (3, 1)\) b. Place point \(A\) at \((-2, -4)\) c. Place point \(A\) in a location that is \( 7\) units away from the origin. |
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17) A "line" is a geometric object with one dimension. It has length but no depth, width, or diameter. Its length (distance) is unmeasurable or "infinite" because a line extends forever in both directions. When asked about lines, we can determine information such as slope, \(x\) and \( y\) intercepts, and if two or more lines are parallel, perpendicular, and where they intersect.
a. Graph \(y = 2x + 1\)
b. Graph \(y = 3x - 2\)
c. Graph \(f(x) =\Large \frac{1}{2}\normalsize{x + 3}\)
d. What is the equation of a line passing through \( (0, -3)\) and \((4, -1)\)?
a. Graph \(y = 2x + 1\)
b. Graph \(y = 3x - 2\)
c. Graph \(f(x) =\Large \frac{1}{2}\normalsize{x + 3}\)
d. What is the equation of a line passing through \( (0, -3)\) and \((4, -1)\)?
18) A "ray" is a geometric object that is a portion of a line but starts at a single point called an endpoint or initial point. Its length is still unmeasurable as it extends forever in one (but not both) directions.
a. Move points \(C\) and \(D\) so that when intersected with \(\overrightarrow{AB}\) it forms obtuse, right and
acute angles.
b. Move points \(C\) and \( D\) to form opposite rays.
a. Move points \(C\) and \(D\) so that when intersected with \(\overrightarrow{AB}\) it forms obtuse, right and
acute angles.
b. Move points \(C\) and \( D\) to form opposite rays.
Review
19) Graph the line \(2x - 5y = 10\)
20) Find the intersection of \(y = -2x + 6\) and \(y = 3x + 1\).
21) Find the intersection of \(3x - 2y = -11\) and \(2x + y = -5\).
Solution Bank
19) Graph the line \(2x - 5y = 10\)
20) Find the intersection of \(y = -2x + 6\) and \(y = 3x + 1\).
21) Find the intersection of \(3x - 2y = -11\) and \(2x + y = -5\).
Solution Bank