Practice Asa (angle-side-angle) (6.3.3) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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ASA (Angle-Side-Angle)

Practice - ASA (Angle-Side-Angle)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What must be true for two triangles to be congruent using the ASA criterion?

💡 Hint: Think about the angles and the side connecting them.

Question 2 Easy

If triangle XYZ has angles 50° and 70°, what measurement must the included side have to be congruent to triangle ABC with the same angles?

💡 Hint: Remember to compare the sides between the angles.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the ASA criterion state?

A triangle is congruent if two angles and the included side are equal.
A triangle is congruent if all three sides are equal.
A triangle is congruent if all three angles are equal.

💡 Hint: Remember how the criterion relates to triangle measurements.

Question 2

True or False: If two triangles have two angles equal, they must be congruent.

True
False

💡 Hint: Think about the requirements for congruence.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that Triangle ABC is congruent to Triangle DEF using the ASA criterion. Given: Angle A = 50°, Angle B = 70°, and Side AB = 10 cm. Triangle DEF has Angle D = 50°, Angle E = 70°, and Side DE = 10 cm.

💡 Hint: Write down the angle measures and the side lengths to visualize congruence.

Challenge 2 Hard

Given triangle XYZ with angles of 80°, 60°, and side XY = 5 cm. Triangle PQR has angles of 80°, 60°, but side PQ = 6 cm. Are these triangles congruent? Justify your answer.

💡 Hint: Recall that the included side must also match for congruence.

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Reference links

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