We are given quadrilateral QRST with:

(1) Segment QR congruent to segment ST is given

(2) Segment RS congruent to segment QT is given

(3) QS congruent to QS by the reflexive property of congruence

(4) Triangle QRS is congruent to triangle STQ by SSS (side-side-side congruence).

Note: SSS is a postulate or axiom in some texts. In others, SSS might be treated as a theorem (especially if the postulates are the isometric transformations).

See diagram:

**Further Reading**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now