Illustrating Triangle Congruence

Which of the following statements is not true about congruent triangles?

• They are dissimilar.

• They are coinciding.

• They have the same size and shape.

• They have corresponding congruent parts.

How many pairs of corresponding congruent parts are there in two congruent triangles?

• 2

• 3

• 4

• 6

If 𝛥𝐹𝑅𝑌 ≅ 𝛥𝐻𝑂𝑇, which segment is congruent to line 𝑅𝑌?

• line 𝐻𝑇 

• line 𝐹𝑌 

• line 𝑂𝑇

• line 𝑅𝐹

Which of the following is true about the corresponding parts of congruent triangles?

• They are unequal.

• They are congruent.

• They are supplementary.

• They are complementary.

If 𝛥𝑆𝐼𝑇 ≅ 𝛥𝐻𝑂𝑃, then what angle corresponds to ∠𝑇?

• ∠𝐻

• ∠P

• ∠I

• ∠S

Name the congruent triangles whose pairs of corresponding parts are shown below.

∠𝐻 ≅ ∠𝑆               ∠𝑅 ≅ ∠𝑁               ∠𝐸 ≅ ∠𝑂

 𝑅𝐸 ≅ 𝑁𝑂                𝐻𝐸 ≅ 𝑆𝑂                  𝐻𝑅 ≅ 𝑆𝑁

• 𝛥𝑁𝑂𝑆 ≅ 𝛥𝐻𝐸𝑅

• 𝛥𝑁𝑆𝑂 ≅ 𝛥𝐸𝑅𝐻

• 𝛥𝑆𝑂𝑁 ≅ 𝛥𝐸𝐻𝑅

• 𝛥𝑆𝑂𝑁 ≅ 𝛥𝐻𝐸𝑅

In the figure, 𝛥𝐶𝑅𝑌 ≅ 𝛥𝑂𝐵𝑆, what is the side corresponding to line 𝑆𝐵 ?

• line 𝐵𝐶

• line 𝐶𝑅

• line 𝑌𝐶

• line 𝑌𝑅

Use the marked triangles in writing a correct congruence statement.

• 𝐶𝑅 ≅ 𝑇𝑌 ,

  𝑂𝑌 ≅ 𝐶𝐴 ,

  𝑅𝐴 ≅ 𝑂𝑌 ,

  𝛥𝑇𝑂𝑌 ≅ 𝛥𝐶𝐴𝑅

• 𝐶𝑅 ≅ 𝑇𝑌,

  𝑂𝑌 ≅ 𝐴𝑅 ,

  𝑇𝑌 ≅ 𝑅𝐴 ,

  𝛥𝑇𝑂𝑌 ≅ 𝛥𝐶𝐴𝑅

• 𝑇𝑂 ≅ 𝐶𝐴,

  𝑇𝑌 ≅ 𝑅𝐶,

  𝑂𝑌 ≅ 𝐴𝐶,

  𝛥𝑇𝑂𝑌 ≅ 𝛥𝐶𝐴𝑅

• 𝑂𝑇 ≅ 𝐴𝐶,

  𝑇𝑌 ≅ 𝐶𝑅,

  𝑂𝑌 ≅ 𝐴𝑅,

  𝛥𝑇𝑂𝑌 ≅ 𝛥𝐶𝐴𝑅

Which of the following shows a pair of congruent triangles?

• 𝛥𝐹𝐼𝑉 ≅ 𝛥𝐼𝑉𝐸

• 𝛥𝐹𝐼𝑉 ≅ 𝛥𝐸𝐼𝑉

• 𝛥𝐼𝐹𝑉 ≅ 𝛥𝐼𝑉𝐸

• 𝛥𝐼𝐹𝑉 ≅ 𝛥𝑉𝐼𝐸

What angle corresponds to ∠𝐹𝑉𝐼?

• ∠𝐸

• ∠F

• ∠𝐸𝐼𝑉

• ∠𝐸𝑉𝐼