Practice Practice Problems 3.1 (6.5) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Practice Problems 3.1

Practice - Practice Problems 3.1

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Are Triangle A (3 cm, 4 cm, 5 cm) and Triangle B (3 cm, 4 cm, 5 cm) congruent?

💡 Hint: Check if all corresponding sides are equal.

Question 2 Easy

Triangle C has sides 6 cm, 8 cm, and an angle of 60 degrees. If Triangle D has the same dimensions, are they congruent?

💡 Hint: Look for shared angles and sides.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Do two triangles with the same three side lengths always equal congruence?

True
False

💡 Hint: Think about what it means for shapes to be identical.

Question 2

If two triangles have two angles equal, and one side equal, are they congruent?

True
False

💡 Hint: Remember that angles and included sides define similarity.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given Triangle A with sides of 9 cm, 12 cm, and angle of 45 degrees, compare it to Triangle B with sides: 9 cm, 12 cm and angle of 50 degrees. Are they congruent? Provide reasoning.

💡 Hint: Ensure to verify all angles alongside the sides.

Challenge 2 Hard

Consider two triangles, one is isosceles with two sides of 4 cm each and one angle of 60 degrees, while the other is scalene with sides of 4 cm, 5 cm, and 6 cm. Can you reconcile these triangles' characteristics?

💡 Hint: Assess the unique characteristics of each triangle type.

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