Linear Pairs and Verticle Angles.pdf - Name ID: 1 Ashley Lara - Free Printable

To solve this problem, we need to identify each type of angle pair shown in the figures and match them with their correct names. Let's go through each figure and determine the appropriate angle pair.

Definitions of Angle Pairs:

1. Vertical Angles: Angles opposite each other when two lines intersect.
2. Adjacent Angles: Angles that share a common vertex and a common side but do not overlap.
3. Complementary Angles: Two angles whose measures add up to 90°.
4. Supplementary Angles: Two angles whose measures add up to 180°.
5. Linear Pair: Two adjacent angles that form a straight line (their measures add up to 180°).
6. Alternate Interior Angles: Angles on opposite sides of the transversal and inside the two lines.
7. Alternate Exterior Angles: Angles on opposite sides of the transversal and outside the two lines.
8. Consecutive Interior Angles: Angles on the same side of the transversal and inside the two lines.
9. Consecutive Exterior Angles: Angles on the same side of the transversal and outside the two lines.
10. Corresponding Angles: Angles in matching corners when a transversal intersects two parallel lines.

Matching the Figures:

#### Figure A:
- Description: Two angles sharing a common vertex but not overlapping.
- Type: Adjacent angles.
- Match: 2. adjacent angles.

#### Figure B:
- Description: Angles formed by two intersecting lines, opposite each other.
- Type: Vertical angles.
- Match: 1. vertical angles.

#### Figure C:
- Description: Two angles forming a right angle.
- Type: Complementary angles.
- Match: 3. complementary angles.

#### Figure D:
- Description: Two angles forming a straight line.
- Type: Supplementary angles.
- Match: 4. supplementary angles.

#### Figure E:
- Description: Angles on opposite sides of the transversal and inside the two lines.
- Type: Alternate interior angles.
- Match: 6. alternate interior angles.

#### Figure F:
- Description: Angles on opposite sides of the transversal and outside the two lines.
- Type: Alternate exterior angles.
- Match: 7. alternate exterior angles.

#### Figure G:
- Description: Two angles sharing a common vertex but not overlapping.
- Type: Adjacent angles.
- Match: 2. adjacent angles (already matched, so this is another example).

#### Figure H:
- Description: Angles on the same side of the transversal and inside the two lines.
- Type: Consecutive interior angles.
- Match: 8. consecutive interior angles.

#### Figure I:
- Description: Angles on the same side of the transversal and outside the two lines.
- Type: Consecutive exterior angles.
- Match: 9. consecutive exterior angles.

#### Figure J:
- Description: Angles in matching corners when a transversal intersects two parallel lines.
- Type: Corresponding angles.
- Match: 10. corresponding angles.

Final Matches:

1. Vertical Angles: B
2. Adjacent Angles: A, G
3. Complementary Angles: C
4. Supplementary Angles: D
5. Linear Pair: D (Note: Linear pairs are a specific type of supplementary angles, so they can be matched here.)
6. Alternate Interior Angles: E
7. Alternate Exterior Angles: F
8. Consecutive Interior Angles: H
9. Consecutive Exterior Angles: I
10. Corresponding Angles: J

Answer:

\[
\boxed{B, A, C, D, D, E, F, H, I, J}
\]