Question

Identify the correct corresponding parts

Answer 1

The correct corresponding part is;

`\overline {CB}` ≅
`\overline {CD}`

Explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment
`\overline {CA}` is congruent to
`\overline {CE}` (
`\overline {CA}` ≅
`\overline {CE}`)

Segment
`\overline {CB}` is congruent to
`\overline {CD}` (
`\overline {CB}` ≅
`\overline {CD}`)

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment
`\overline {AB}` is congruent to
`\overline {DE}` (
`\overline {AB}` ≅
`\overline {DE}`) by CPCTC

Segment
`\overline {AE}` bisects
`\overline {BD}`

Segment
`\overline {BD}` bisects
`\overline {AE}`

Therefore, the correct option is
`\overline {CB}` ≅
`\overline {CD}`