Question

Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)

Answer 1

c

Explanation:

Answer 2

C)
`\overline {AD}` ≅
`\overline {AC}`,
`\overline {BD}` ≅
`\overline {CD}`,
`\overline {AD}` ≅
`\overline {AD}`

Explanation:

From the given diagram, we have;

Segment
`\overline {AB}` in triangle ΔABD is congruent to segment
`\overline {AC}` in triangle ΔACD

Segment
`\overline {AD}` is congruent to segment
`\overline {AD}` by reflexive property

For ΔABD to be congruent to ΔACD, by the Side-Side-Side, SSS, congruency postulate, all the sides of ΔABD should be congruent to the corresponding side of ΔACD, the required added statement is therefore;

Segment
`\overline {BD}` is congruent to segment
`\overline {CD}`

The correct option is therefore option C;

`\overline {AD}` ≅
`\overline {AD}`,
`\overline {BD}` ≅
`\overline {CD}`,
`\overline {AD}` ≅
`\overline {AC}`