Question

Which of the following statements is needed in order to prove these triangles are congruent using SSS?

A
∠BCA≅∠EFD
B
AC¯¯¯¯¯≅ED¯¯¯¯¯
C
DE¯¯¯¯¯≅BC¯¯¯¯¯
D
AB¯¯¯¯¯≅DE¯¯¯¯¯

Answer 1

To prove congruence by SSS, two statements are needed about equal sides: AC―――― ≅ ED―――― and DE―――― ≅ BC――――. A third unlisted statement equating the other sides is also required.

Step-by-step explanation:

To prove two triangles are congruent using the Side-Side-Side (SSS) Postulate, we need to establish that all three corresponding sides of the triangles are equal in length. Statement B indicates that AC―――― ≅ ED――――, which provides one pair of corresponding sides. Statement C suggests that DE―――― ≅ BC――――, providing a second pair of corresponding sides. Lastly, if we had information that AB―――― = DF――――, not provided in the options but necessary to complete the SSS congruence, then we could establish the congruence of the two triangles. Therefore, the statements needed for SSS congruence proof are options B and C, along with an unlisted statement that equates the third pair of corresponding sides.

Answer 2

what triangles? there isn’t a picture of the triangles shown