PRACTICE BENCHMARK

Which of the following statements is true regarding congruent triangles?

• A) Congruent triangles must have the same size but do not need to have the same shape.
• B) Congruent triangles must have corresponding sides and angles that are equal.
• C) Congruent triangles can only be proven congruent using angle-side-angle (ASA).
• D) Congruent triangles can only be proved using side-side-side (SSS).

What is the definition of congruence in terms of rigid motions

• A) Two figures are congruent if they have the same area.
• B) Two figures are congruent if one can be transformed into the other through a series of rigid motions (translations, rotations, reflections).
• C) Two figures are congruent if their corresponding angles are equal.
• D) Two figures are congruent if they are similar in shape.

If t △ABC is congruent to △DEF, which of the following pairs are necessarily congruent?

• A)∠A and ∠D
• B) AB and DE
• C) ∠C and ∠ F
• D) All of the above

What is a rigid motion?

• A) A transformation that changes the size of a figure.
• B) A transformation that preserves distances and angles.
• C) A transformation that distorts a figure.
• D) A transformation that reflects a figure.

What can you conclude if two triangles are proven to be congruent?

• A) Their angles must be equal.
• B) Their corresponding sides must be equal.
• C) Both A and B
• D) None of the above.

What does CPCTC stand for?

• A) Corresponding Parts of Congruent Triangles are Congruent
• B) Corresponding Parts of Congruent Triangles are Similar
• C) Congruent Parts of Corresponding Triangles are Congruent
• D) None of the above

Which rigid motion can be used to demonstrate that △XYZ is congruent to △PQR?

• A) A reflection across a line
• B) A translation of the entire triangle
• C) A rotation around a point
• D) All of the above

If △JKL is congruent to △MNO, which of the following is true?

• A) JL = MN
• B)∠K = ∠O
• C) All corresponding sides and angles are congruent.
• D) All of the above.

If △DEF is congruent to △GHI, what can be concluded about segment DE?

• A) DE = GH
• B) DE = HI
• C) DE ≠ GH
• D) DE and GH are not related.

If two triangles have two pairs of corresponding angles equal, what can you conclude about the third pair of angles?

• A) They are equal.
• B) They are not necessarily equal.
• C) They are supplementary.
• D) There is not enough information.