Worksheet: Lines and Angles

In this worksheet, we will practice identifying and naming points, lines, rays, line segments, and angles with notation.

Q1:

Given that the side length of a small square is 1 unit, then the length of 𝐷𝐢 is units.

Q2:

𝐴𝐡𝐢𝐷 is a square. What is 𝐡𝐢?

Q3:

Which line has the greatest length?

  • A𝐢𝐷
  • B𝐴𝐡
  • C𝐼𝐽
  • D𝐸𝐹

Q4:

In the given figure, what would be the correct notation to represent the line segment connecting the points 𝐴 and 𝐡?

  • A𝐴𝐡
  • B𝐴𝐡
  • C𝐡𝐴
  • D⃖⃗𝐴𝐡
  • E𝐴𝐡

Q5:

Determine whether the following sentence is true or false: From a point outside a straight line, we can draw one and only one straight line perpendicular to that line.

  • Atrue
  • Bfalse

Q6:

Name the sides of ∠3.

  • Aπ‘‹π‘Œ, π‘Œπ‘ˆ
  • Bπ‘‹π‘Š, π‘‹π‘ˆ
  • Cπ‘Œπ‘, π‘Œπ‘ˆ
  • Dπ‘‹π‘ˆ, π‘‹π‘Œ
  • Eπ‘‹π‘Œ, π‘‹π‘Š

Q7:

Think about rays.

Name this ray using symbols.

  • A𝐴𝐡
  • B𝐡𝐴

At which point this ray start?

  • A𝐢
  • B𝐷

Q8:

Which of the following combinations forms a straight line?

  • A𝐴→𝐡→𝐢
  • B𝐢→𝐷→𝐡
  • C𝐷→𝐡→𝐴
  • D𝐢→𝐷→𝐴

Q9:

How many straight lines can be drawn through two distinct points?

Q10:

What is the name of the shape?

  • Aray𝑋𝐢
  • Bstraight line𝑋𝐢
  • Cline segment𝑋𝐢
  • Dray𝐢𝑋

Q11:

In the given figure, which of the following would represent the straight line passing through 𝐡 and 𝐢?

  • Aοƒͺ𝐢𝐡
  • B𝐡𝐢
  • C𝐡𝐢
  • Dοƒͺ𝐡𝐢
  • E⃖⃗𝐡𝐢

Q12:

Using a ruler if necessary, fill in the gap with <, =, or >: 𝐡𝐢𝐷𝐴.

  • A=
  • B<
  • C>

Q13:

What is the name of the shape?

  • Aray𝐡𝐴
  • Bstraight line𝐴𝐡
  • Cline segment𝐴𝐡
  • Dray𝐴𝐡

Q14:

Use ∈ or βˆ‰ to fill in the blank: 𝐴𝐷𝐢.

  • A∈
  • Bβˆ‰

Q15:

Determine whether the following statement is sometimes, never, or always true: If a point 𝑃 lies on the line segment 𝐢𝐷, then 𝐢𝐷 is greater than either 𝐢𝑃 or 𝑃𝐷.

  • Anever true
  • Bsometimes true
  • Calways true

Q16:

Determine whether the following statement is always, sometimes, or never true: A line segment is longer than a ray.

  • Asometimes true
  • Balways true
  • Cnever true

Q17:

How is the following expressed in symbols?

  • A𝑀𝑅
  • B𝑀𝑅
  • C𝑀𝑅
  • Dοƒ₯𝑀𝑅
  • E⃖⃗𝑀𝑅

Q18:

Determine whether the following sentence is true or false: From a point outside a straight line, we can draw many straight lines parallel to that line.

  • Afalse
  • Btrue

Q19:

What is this?

  • AThe straight line 𝐾𝐿.
  • BThe straight line 𝐿𝐾.
  • CThe ray 𝐿𝐾.
  • DThe ray 𝐾𝐿.
  • EThe line segment 𝐾𝐿.

Q20:

Can we measure the length of a line?

  • Ayes
  • Bno

Q21:

Which of the following is the correct definition of a ray?

  • AA ray is the point where two line segments intersect.
  • BA ray is the section of a line connecting two points.
  • CA ray is the part of a straight line beginning at a given point and extending in one direction to a predetermined length.
  • DA ray is the part of a straight line beginning at a given point and extending limitlessly in one direction.
  • EA ray is a line through a point extending limitlessly in both directions.

Q22:

In the given figure, which of the following would represent the ray passing through 𝐡 and 𝐢?

  • A𝐡𝐢
  • B⃖⃗𝐡𝐢
  • C𝐡𝐢
  • Dοƒͺ𝐡𝐢
  • Eοƒͺ𝐢𝐡

Q23:

Is 𝐢∈, βˆ‰, βŠ‚ or βŠ„βƒ–οƒ©οƒ©οƒ©οƒ©βƒ—π΄π΅?

  • AβŠ„
  • Bβˆ‰
  • CβŠ‚
  • D∈

Q24:

Is 𝐷∈, βˆ‰, βŠ‚ or βŠ„π΄πΆ?

  • AβŠ„
  • BβŠ‚
  • C∈
  • Dβˆ‰

Q25:

Which sentence describes what has been drawn?

  • AA straight line 𝐴𝐡 intersecting a line segment 𝐺𝐻.
  • BA line segment 𝐴𝐡 intersecting a straight line 𝐺𝐻.
  • CA ray 𝐴𝐡 intersecting a ray 𝐺𝐻.
  • DA line segment 𝐴𝐡 intersecting a line segment 𝐺𝐻.
  • EA straight line 𝐴𝐡 intersecting a straight line 𝐺𝐻.

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