Kids in high school see this question a lot. Which must be true in order for the relationship to be correct? It comes in math tests. You look at two shapes. You pick what makes them match. Like the same angles or sides. This page makes it simple. We talk about triangle similarity conditions and true statements in congruent triangles. You will pick the right answer fast.Think of a test question. Two triangles. What proves they are the same? Equal angles? Same size sides? We show geometry relationship questions with easy words. No mix-ups.

Basic Rules for Shapes in Math

Start easy¹. Shapes need rules to match. Which must be true in order for the relationship to be correct means finding the one key thing.

Rules for Triangles That Look Alike (Similarity)

• AA Rule: Two angles the same. Triangles look alike.
• SAS Rule: Two sides in the same ratio. The angle between them is the same.
• SSS Rule: All sides in the same ratio.Use how to tell if two triangles are similar with these. Are the angles the same? Sides follow.

Rules for Triangles That Are Exactly the Same (Congruence)

• SSS: All sides are the same length.
• SAS: Two sides and angle between.
• ASA: Two angles and side between.
• AAS: Two angles and side not between.
• HL: For right triangles. Long side and one leg same.These are congruence and similarity rules. Know them for which of the following must be true geometry.

Steps to Find Which Must Be True in Order for the Relationship to Be Correct

Do these steps for geometry multiple choice questions on which must be true in order for the relationship to be correct.

• Look at the picture. Mark parts that match. Corresponding angles and sides are big.
• See what it says. Same shape (~) or exact same (≅)?
• Match to rules. Fit triangle postulates (AA, SAS, SSS)?
• Cross out bad ones. Sides not the same ratio? No SSS.
• Pick the one that must be true.Try this easy one:Two triangles. Angle A is the same as Angle D. Side AB to DE is 3 to 4. Side AC to DF is 3 to 4.
• Choice 1: Angle B same as Angle E
• Choice 2: Side BC to EF is 3 to 4
• Choice 3: Triangles exact sameWhich must be true in order for the relationship to be correct? For look-alike, choice 2 fits if angle between. Equal ratios in similar triangles need to match.Better one: Two angles marked the same. AA makes look-alikes. Sides in ratio.

Fun² Examples of True Relationships in Geometry Problems

We fix real questions. Good for examples of true relationships in geometry problems.

Example 1: Show Triangles Look Alike.

• Lines the same distance make parallel lines and equal angles.
• Two angles are the same → AA.
• Which must be true in order for the relationship to be correct? Angles from lines same.Answer: Angles match from parallel.

Example 2: SAS for Look Alike

• Sides: ON to SR = 16 to x. NM to RQ = 20 to 25.
• Make the same: 16/x = 20/25. x = 20.
• Angle between the same too.Proportional relationships in geometry need the same ratios.

Example 3: Pick Two

• A: Angles A and X are the same. Sides have the same ratio.
• B: All sides are the same length.Pick AA and SSS. The exact same is for congruence.Links to how to identify true relationships in math.

Fast Tips for Which Must Be True in Order for the Relationship to Be Correct

• Check match parts bold. No match? Wrong.
• Know easy rules. Triangle postulates (AA, SAS, SSS) help.
• See parallel lines. Make parallel lines and equal angles.
• Ratios for look-alikes. Proportional sides in geometry mean ~.
• Same size for exact. No ratios.Do a step-by-step guide to solving “which must be true” math questions each day. Try 5.

More Easy Practice for Geometry Reasoning Questions

Try: Picture with middle point. The midpoint of a line segment partitions the line segment into a ratio of 1:1 1 2 2 1 2 3

• True? Yes. Middle splits even.
• Ties to relationships between figuresOne more: Which diagram can be used to prove ABC DEC using similarity transformations

• Find a turn or grow that fits one to another.
• Keeps angles and ratios.Grow skills in angle-side relationships.

FAQs

What is “which must be true in order for the relationship to be correct” in math?

It asks the main thing, like same angles, to make shapes look alike or exact. See geometry relationship questions.

How do triangles look alike?

Look at how to tell if two triangles are similar: AA, SAS, SSS. Two angles same works for triangle similarity conditions.

Which statements must be true in a math relationship for the exact same?

Sides and angles fit exactly. Use SSS, SAS. Check true statements in congruent triangles.

What mistakes in “which of the following must be true geometry”?

Mix look-alike and exact. Known congruence and similarity rules are not the same.

How to prove that a geometric relationship is correct?

Use geometric proofs and relationships. Start with what you know. Add rules. End with an answer.

Conclusion: 

Now you see which must be true in order for the relationship to be correct. Use rules for geometric relationships. Check matches. Add rules. Do common “which must be true” questions and answers for students to go fast. Feel sure on tests.What must be true in order for the triangle relationship to be correct is hard for you? Tell us!

References

1. Gauthmath – Easy fix for SAS: https://www.gauthmath.com/solution/1769250611637253 – Steps for what value of x will make onm similar to srq by the sas similarity theorem 16 20 25 50.
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2. Brainly – Fun question on shapes and lines: https://brainly.com/question/2702918 – Kids ask about parallel and angles. Good for parallel lines and equal angles.
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