Practice Rule For Congruent Shapes (6.3) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Rule for Congruent Shapes

Practice - Rule for Congruent Shapes

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does it mean for two figures to be congruent?

💡 Hint: Think about whether one can fit over the other.

Question 2 Easy

What symbol is used to indicate that two triangles are congruent?

💡 Hint: It looks like an equal sign with a tilde on top.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main criterion for triangles to be congruent?

All sides must be equal
All angles must be equal
Both sides and angles must match

💡 Hint: Consider what needs to match for two triangles to be congruent.

Question 2

True or False: SSA can be used to prove triangle congruence.

True
False

💡 Hint: Think about the independence of each triangle’s dimensions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider Triangle JKL and Triangle MNO. JKL has sides of 7, 8, and 9 cm. MNO has sides of 8, 9, and 7 cm. Are these triangles congruent? Explain your reasoning.

💡 Hint: Rearranging sides doesn’t alter congruence; see if the lengths match up!

Challenge 2 Hard

Triangle PQR is congruent to triangle STU, with given angles and lengths. If angle P = 50°, angle Q = 60°, and PQ = 5 cm. What can you deduce about triangle STU's angles and corresponding sides?

💡 Hint: Evaluate how congruence maintains the integrity of angles and sides.

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