Triangle Proofs

Practice Questions

Common Core: High School - Geometry › Triangle Proofs

Questions

10

1

Which of the following theorems prove that the following two triangles are congruent?

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2

Which of the following theorems would prove that the following two triangles are similar?

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3

Which of the following describes the Angle-Side-Angle Similarity Theorem?

4

Are the following two triangles similar? If so, which theorem proves this to be true?

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5

Assume that is the midpoint of $\overline{AE}$ and the midpoint of $\overline{BD}$ . Prove that $\Delta ACB\cong \Delta DCE$ .

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6

Which of the following pairs of triangles are congruent by the ASA Theorem?

7

Prove that the parallelogram has two congruent triangles, and .

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8

Are the following two triangles congruent? If so, what theorem can we use to prove this to be true?

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9

True or False: Side-Side-Angle is a proven theorem to prove triangle congruence.

10

Consider triangle below. Line is the height of the triangle. Prove that triangle is made up of two congruent triangles, $\Delta ACB, \Delta ACD$ .

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