Geometry Terms Notes and Worksheets - Lindsay Bowden - Free Printable

Let's go through each part of the worksheet step by step, solving and explaining each problem with correct geometric terminology and symbols.

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Part A: Name each figure in one way. Make sure to use correct symbols!

1. Figure: A line with points J, K, L, extending infinitely in both directions (arrows at both ends).
- This is a line passing through points J, K, and L.
- Since it extends infinitely in both directions, we name it using any two points on the line with a double-headed arrow over them.
- ✔ Answer: $\overleftrightarrow{JL}$ or $\overleftrightarrow{KL}$ or $\overleftrightarrow{JK}$ — all are acceptable.
Let’s use: $\boxed{\overleftrightarrow{JL}}$

2. Figure: A single point labeled C.
- This is simply a point.
- ✔ Answer: $\boxed{C}$

3. Figure: A ray starting at D, passing through E and F, going in one direction (arrow at F).
- This is a ray, named by its endpoint and another point on the ray.
- Endpoint is D, goes through E and F.
- ✔ Answer: $\boxed{\overrightarrow{DF}}$

4. Figure: A parallelogram with points F, G, H, W, and arrows indicating movement in different directions.
- This is a plane (since it has area and multiple points), but more specifically, it's a parallelogram.
- However, since it's a 2D shape with four sides and opposite sides parallel, we can name it as a quadrilateral or parallelogram.
- But the instruction says "name the figure," so likely referring to the plane or polygon.
- But since there are arrows showing vectors in different directions, this may represent a plane with vectors.
- However, most likely, this is meant to be a parallelogram.
- ✔ Answer: $\boxed{\text{Parallelogram } FGHW}$ or just $\boxed{\text{Plane } FGH}$? Wait — actually, the best answer here is that it's a parallelogram.
- But if naming the figure as a whole, we use the polygon name: $\boxed{\text{Parallelogram } FGHW}$ (or Quadrilateral $FGHW$).
- But since the question says “name the figure,” and it's a closed shape, best is:
- ✔ Answer: $\boxed{\text{Parallelogram } FGHW}$

5. Figure: Points P, Q, R on a straight line segment, with no arrows.
- This is a line segment from P to R, passing through Q.
- ✔ Answer: $\boxed{\overline{PR}}$

6. Figure: A line segment from A to B, with an arrow only at A (so it’s pointing left), but no arrow at B.
- This looks like a ray starting at B and going through A?
- Wait: The arrow is at A, meaning it starts at B and goes through A, extending beyond A?
- No: the arrow is at A, and B is on the right. So the direction is from B to A and beyond.
- But the segment shows A and B, with arrow at A.
- So it's a ray starting at B, going through A, extending beyond A.
- But wait: if arrow is at A, and B is to the right, then the ray starts at B, passes through A, and continues past A → but that would make the ray start at B and go toward A and beyond.
- But the arrow is at A, so the ray is starting at B, going through A, and continuing in that direction.
- So the ray is $\overrightarrow{BA}$ — because it starts at B and goes through A.
- ✔ Answer: $\boxed{\overrightarrow{BA}}$

Wait — let’s clarify:

- If the arrow is at A, and the line goes from B to A and beyond, then the ray starts at B and goes through A.
- So the notation is: $\overrightarrow{BA}$ — yes, that’s correct.

✔ Answer: $\boxed{\overrightarrow{BA}}$

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Part B: Use vocabulary terms...

7. Name the angle in 3 ways.
- Angle formed by rays SR and ST, with vertex S, and number 5 inside.
- Vertex is S.
- Ways to name an angle:
1. Using three points: $\angle RST$
2. Using vertex only: $\angle S$
3. Using number: $\angle 5$

✔ Answers:
- $\boxed{\angle RST}$
- $\boxed{\angle S}$
- $\boxed{\angle 5}$

8. Draw a pair of parallel lines. Name them $\overleftrightarrow{EF}$ and $\overleftrightarrow{GH}$.
- Draw two lines that never meet (same direction).
- Label one line with points E and F, with arrows on both ends.
- Label the other with G and H, same.
- They should be parallel, so they don’t intersect.

✔ Drawing instructions:
- Draw two horizontal lines.
- Top line: label points E and F, draw arrows on both ends → $\overleftrightarrow{EF}$
- Bottom line: label points G and H, draw arrows on both ends → $\overleftrightarrow{GH}$
- Make sure they are equidistant and never cross.

✔ Answer: Draw $\boxed{\overleftrightarrow{EF}}$ and $\boxed{\overleftrightarrow{GH}}$ as parallel lines.

9. Draw an angle. Label it $\angle XYZ$.
- Draw two rays with a common endpoint.
- Label the vertex Y.
- One ray goes to X, other to Z.
- Put the angle symbol (∠) and write $\angle XYZ$.

✔ Drawing:
- Draw a point Y.
- Draw ray from Y to X.
- Draw ray from Y to Z.
- Write: $\boxed{\angle XYZ}$

10. Draw a pair of perpendicular lines that intersect at point L.
- Two lines crossing at a 90° angle.
- Intersection point is L.
- Use a square corner symbol to show perpendicularity.

✔ Drawing:
- Draw a vertical line and a horizontal line crossing at point L.
- Add a small square at the intersection to show 90°.
- Label the point of intersection: L

✔ Answer: Draw two lines forming a cross at L, with a right-angle symbol.

11. Name the angle in 3 ways.
- Angle with vertex at C, between points D and E, labeled ∠2.
- Rays: CD and CE
- Vertex: C
- Number: 2

Ways:
1. $\angle DCE$
2. $\angle ECD$
3. $\angle 2$

✔ Answers:
- $\boxed{\angle DCE}$
- $\boxed{\angle ECD}$
- $\boxed{\angle 2}$

12. Name the angle in 3 ways.
- Angle with vertex at B, between points A and C, labeled ∠6.
- Rays: BA and BC
- Vertex: B
- Number: 6

Ways:
1. $\angle ABC$
2. $\angle CBA$
3. $\angle 6$

✔ Answers:
- $\boxed{\angle ABC}$
- $\boxed{\angle CBA}$
- $\boxed{\angle 6}$

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✔ Final Answers Summary:

#### Part A:
1. $\boxed{\overleftrightarrow{JL}}$
2. $\boxed{C}$
3. $\boxed{\overrightarrow{DF}}$
4. $\boxed{\text{Parallelogram } FGHW}$ (or $\boxed{\text{Quadrilateral } FGHW}$)
5. $\boxed{\overline{PR}}$
6. $\boxed{\overrightarrow{BA}}$

#### Part B:
7. $\boxed{\angle RST}, \boxed{\angle S}, \boxed{\angle 5}$
8. Draw two parallel lines: $\boxed{\overleftrightarrow{EF}}$ and $\boxed{\overleftrightarrow{GH}}$ (with arrows, not intersecting)
9. Draw $\boxed{\angle XYZ}$ with vertex Y, rays to X and Z
10. Draw two lines intersecting at L, forming a right angle (add square symbol)
11. $\boxed{\angle DCE}, \boxed{\angle ECD}, \boxed{\angle 2}$
12. $\boxed{\angle ABC}, \boxed{\angle CBA}, \boxed{\angle 6}$

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Let me know if you'd like a visual version of the drawings for questions 8, 9, 10!