Question

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Answer 1

1.
`\overline {TU}`

2. Given

3.
`\overline {RT}`

4. Side-Side-Side (SSS) rule of congruency

Explanation:

The two column proof is presented as follows;

Statement
`{}` Reason

1.
`\overline {RS}` ≅
`\overline {TU}`
`{}` Given

2.
`\overline {ST}` ≅
`\overline {UR}`
`{}` Given

3.
`\overline {RT}` ≅
`\overline {RT}`
`{}` Reflexive property

4. ΔRST ≅ ΔTUR
`{}` SSS rule of congruency
`{}`

The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.