Question

three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts?

Explanation:

Step1: Corresponding sides of congruent quadrilaterals

ABCD ≅ GHIJ implies CD ↔ IJ, so CD = IJ = 10 cm.

Step2: Corresponding sides of BCDA ≅ RSTU

BCDA ≅ RSTU implies CD ↔ ST, so ST = CD = 10 cm.

Step3: TS is same as ST

TS = ST = 10 cm.

Answer:

10 cm