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Flashcards: Prove relationships in geometric figures

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that $\angle C \cong \angle F$ and $\angle A \cong \angle D$ .

Does sufficient information exist to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ , and if so, by what postulate or theorem?

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the SSS Similarity Theorem.

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the AA Similarity Postulate.

Insufficient information exists to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the Isosceles Triangle Theorem.

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Similarity Theorem.

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Flashcards: Prove relationships in geometric figures

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that $\angle C \cong \angle F$ and $\angle A \cong \angle D$ .

Does sufficient information exist to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ , and if so, by what postulate or theorem?

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the SSS Similarity Theorem.

Your answer:

Insufficient information exists to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the Isosceles Triangle Theorem.

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Similarity Theorem.

Correct answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the AA Similarity Postulate.

Explanation:

We are given that, between the triangles, two pairs of corresponding angles are congruent. By the AA Similarity Postulate, this is enough to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

Flashcards: Prove relationships in geometric figures

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that $\frac{AB}{DE} = \frac{BC}{EF}$ .

Does sufficient information exist to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ , and if so, by what postulate or theorem?

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Similarity Theorem.

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the AA Similarity Postulate.

Insufficient information exists to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Inequality Theorem (Hinge Theorem).

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the Isosceles Triangle Theorem.

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Flashcards: Prove relationships in geometric figures

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that $\frac{AB}{DE} = \frac{BC}{EF}$ .

Does sufficient information exist to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ , and if so, by what postulate or theorem?

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Similarity Theorem.

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the AA Similarity Postulate.

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be proved by the SAS Inequality Theorem (Hinge Theorem).

Your answer:

$\bigtriangleup ABC \sim \bigtriangleup DEF$ can be prove by the Isosceles Triangle Theorem.

Correct answer:

Insufficient information exists to prove that $\bigtriangleup ABC \sim \bigtriangleup DEF$ .

Explanation:

We are given that, between the triangles, two pairs of corresponding sides are proportional. Without knowing anything else, the proportionality of two pairs of sides is insufficient to prove that the triangles are similar.

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Flashcards: Prove relationships in geometric figures

Flashcards: Prove relationships in geometric figures

Flashcards: Prove relationships in geometric figures

Flashcards: Prove relationships in geometric figures

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All HiSET: Math Resources

Flashcards: Prove relationships in geometric figures

Flashcards: Prove relationships in geometric figures

Flashcards: Prove relationships in geometric figures

Flashcards: Prove relationships in geometric figures

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DMCA Complaint

Contact Information

Address

Complaint Details

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