Practice Solving Connections Problems

Instructor: Tawnya Eash

Tawnya has a master's degree in early childhood education and teaches all subjects at an elementary school.

Do you need practice solving connections problems? Look no further! This lesson has just what you need to review strategies for solving connections problems as well as examples to practice.

How Do I Solve Connection Problems?

So, after a lot of thought and discussion with family and friends, you have decided to join the military. You know you will have your work cut out for you, passing aptitude tests, persevering through basic training, and more. To increase your chances of getting assigned to the exact specialty you want, you need to score well on the Armed Services Vocational Aptitude Battery (ASVAB).

In school, you may have struggled with math and geometry, so you know you'll need some practice in solving connection problems. Connecting two figures at a specific point with a line segment does not have to be difficult. Some basic strategies, or plans of action to achieve a goal, can enhance your spatial skills. Take a look:

  1. Points. Locate and focus on the points in each figure. Make sure these points remain in the same place. You want to arrange the figures so that the points line up. Then, you can draw a vertical, diagonal, or horizontal line segment to connect the two figures.
  2. Rotate. Rotate the figures clockwise or counterclockwise. This is where the practice and mental math come in handy. You need to visualize the two figures and rotate them in your head so that the points can line up.
  3. Eliminate Choices. You can narrow down your choices of correct answers, by eliminating the wrong ones. Get rid of any possible answers that are obviously incorrect.
  4. Take your time. Unless you are actually taking the test in real life, take your time on all of the practice problems. Really try to figure out a strategy that works to solve each problem.
  5. Practice. The only way to get better at something is to practice it. That phrase that ''practice makes perfect'' is very true. You can and will still make mistakes, but if you provide yourself with many opportunities to practice solving connection problems, you'll increase your chances of achievement.

So, how do you know which strategy will work? It's up to you to figure out which strategy is most effective and provides you with the most success in solving connection problems. With practice and application of the appropriate strategies, you'll achieve your goal and pass the ASVAB with flying colors.

Let's jump into some practice problems now!

Examples of Connection Problems

The following connection problems require you to take two figures and connect them with a line segment. The figures must be connected at each point and you may only rotate the figures. They cannot be flipped (mirror image) or changed in any way.

Problem 1

In this example, you have a rectangle and a triangle. Pay close attention to the triangle as it is not an equilateral triangle. All angles have a different measure and all sides are not the same length. When you connect these two shapes, you have to make sure the point does not move.

Problem One
Problem one

This is the correct solution to connecting these two figures because:

  • The points on each shape stayed in the same location.
  • The rectangle was not changed.
  • The triangle was moved either clockwise or counterclockwise to line up the points.

Problem 2

With this example, you get to take a look and see how you think the figures should be connected. Remember to apply the strategies mentioned in this lesson as well as any of your own strategies that you feel work.

Problem Two
Problem two

In this example, you only have two possible answers:

  • Choice A - The irregular hexagon (six-sided polygon) has the point in the correct location and was left unchanged. The pentagon has the point in the correct location and was rotated properly to align both figures.
  • Choice B - The irregular hexagon has the point in the correct location and was left unchanged, as in Choice A. The pentagon in this choice was not rotated. However, if you notice the point, it is not in the same location.

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