Geometry worksheet focusing on lines and angles, including matching terms with definitions and classifying angles as acute, obtuse, right, or reflex.

Let's solve the problems step by step.

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Problem 1: Match each word with the correct statement.

We need to match the terms on the left with the correct definitions on the right.

#### (i) Point
→ b) An exact location in space.
✔ A point has no size, only position.

#### (ii) Line Segment
→ f) Part of a line having two endpoints.
✔ A line segment is a finite portion of a line with two endpoints.

#### (iii) Angle
→ c) The shape formed when two rays meet at a vertex.
✔ An angle is formed by two rays sharing a common endpoint (vertex).

#### (iv) Ray
→ a) Part of a line having one endpoint.
✔ A ray starts at a point and extends infinitely in one direction.

#### (v) Plane
→ d) A flat shape which extends endlessly in all directions.
✔ A plane is a flat, two-dimensional surface that goes on forever.

#### (vi) Perpendicular Lines
→ g) Two lines that cross to form a right angle.
✔ Perpendicular lines intersect at 90°.

#### (vii) Parallel Lines
→ e) Two or more lines that travel in the same direction and never meet.
✔ Parallel lines never intersect and are always the same distance apart.

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✔ Final Answers for Problem 1:

- (i) Point → b
- (ii) Line Segment → f
- (iii) Angle → c
- (iv) Ray → a
- (v) Plane → d
- (vi) Perpendicular Lines → g
- (vii) Parallel Lines → e

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Problem 3: Classify the angles as acute, obtuse, right, straight, or reflex.

Recall:
- Acute: less than 90°
- Right: exactly 90°
- Obtuse: greater than 90° but less than 180°
- Straight: exactly 180°
- Reflex: greater than 180° but less than 360°

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#### a)
Angle shown: 320°
→ This is greater than 180°, so it's a reflex angle.

✔ Reflex

#### b)
Angle shown: 108°
→ Greater than 90°, less than 180° → obtuse

✔ Obtuse

#### c)
The angle has a small square symbol → indicates 90°

✔ Right

#### d) 181°
→ Greater than 180° → reflex

✔ Reflex

#### e) 87°
→ Less than 90° → acute

✔ Acute

#### f) 351°
→ Greater than 180°, less than 360° → reflex

✔ Reflex

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✔ Final Answers for Problem 3:

- a) Reflex
- b) Obtuse
- c) Right
- d) Reflex
- e) Acute
- f) Reflex

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🟩 Summary of All Answers:

#### Problem 1: Matching
(i) b
(ii) f
(iii) c
(iv) a
(v) d
(vi) g
(vii) e

#### Problem 3: Angle Types
a) Reflex
b) Obtuse
c) Right
d) Reflex
e) Acute
f) Reflex

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