To solve this matching problem, we need to look at the definition of each angle pair and find the diagram that best fits that description. Let's go through them one by one.
Step-by-Step Reasoning:
1.
Vertical angles: These are opposite angles formed by two intersecting lines. They look like an "X".
* Looking at the options,
Figure F shows two lines crossing with dots on the opposite angles. This is the classic vertical angles diagram.
* *Match: 1 - F*
2.
Adjacent angles: These are angles that share a common vertex and a common side but do not overlap.
*
Figure G shows two angles sitting right next to each other, sharing the middle ray. They don't form a straight line or a right angle specifically, just neighbors.
* *Match: 2 - G*
3.
Complementary angles: Two angles whose measures add up to 90 degrees (a right angle).
*
Figure C shows two angles forming a corner with a square symbol. The square symbol means 90 degrees. Therefore, these are complementary.
* *Match: 3 - C*
4.
Supplementary angles: Two angles whose measures add up to 180 degrees.
*
Figure J gives us numbers: $129^\circ$ and $51^\circ$. If we add them ($129 + 51$), we get $180$. Since they add to 180, they are supplementary.
* *Match: 4 - J*
5.
Linear pair: A specific type of adjacent angles that form a straight line (adding up to 180 degrees).
*
Figure A shows two angles next to each other on a straight line. They are adjacent and supplementary, which makes them a linear pair.
* *Match: 5 - A*
6.
Alternate interior angles: When a transversal crosses parallel lines, these are the angles inside the parallel lines but on opposite sides of the transversal. They form a "Z" shape.
*
Figure E shows two parallel lines cut by a transversal. The dots are inside the parallel lines and on opposite sides of the slanted line.
* *Match: 6 - E*
7.
Alternate exterior angles: These are outside the parallel lines and on opposite sides of the transversal.
*
Figure D has dots on the outside of the parallel lines, on opposite sides of the transversal.
* *Match: 7 - D*
8.
Consecutive interior angles (also called Same-Side Interior): These are inside the parallel lines and on the *same* side of the transversal. They form a "C" or "U" shape.
*
Figure H shows the dots inside the parallel lines and on the same side of the transversal.
* *Match: 8 - H*
9.
Consecutive exterior angles (also called Same-Side Exterior): These are outside the parallel lines and on the *same* side of the transversal.
*
Figure I shows the dots on the outside of the intersecting lines, on the same side.
* *Match: 9 - I*
10.
Corresponding angles: These are in the same relative position at each intersection where a straight line crosses two others. They form an "F" shape.
*
Figure B shows one dot in the top-left position of the top intersection and one dot in the top-left position of the bottom intersection. They match positions.
* *Match: 10 - B*
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Final Answer:
1. F
2. G
3. C
4. J
5. A
6. E
7. D
8. H
9. I
10. B
Parent Tip: Review the logic above to help your child master the concept of pairs of angles worksheet pdf.
