caleb draws two triangles and claim that the triangles are congruent. for the case where his claim is true, determine whether each statement below must be true. select yes or no each statement​

caleb draws two triangles and claim that the triangles are congruent for the case where his claim is true determine whether each statement below must be true se class=

Respuesta :

Answer:

no no yes yes

Step-by-step explanation:

Triangles may or may not be congruent.

The truth values of the claims are:

  • Yes
  • Yes
  • No
  • Yes

(a and b) Corresponding sides and angle must be equal

This is true, because the corresponding sides and angles of the triangles must be equal for both triangles to be congruent

Hence, the truth value of (a) and (b) is Yes

(c) Sequence translation of the triangles

Translation simply means moving a shape across the coordinate grid.

Translating one triangle onto the other may not be enough to prove that both triangles are congruent.

Hence, the truth value of (c) is No

(d) Sequence rigid motion of the triangles

Rigid motion simply means transformations that do not alter the size of the triangles.

This must be true, because the triangles may be reflected, rotated or translated onto one another

Hence, the truth value of (d) is Yes

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