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

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?\n6 cm\n8 cm\n9 cm\n10 cm

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?\n6 cm\n8 cm\n9 cm\n10 cm

Answer

Answer:

D. 10 cm

Explanation:

Step1: Recall congruent - figure properties

If two figures are congruent, their corresponding sides are equal. Since (ABCD\cong GHIJ) and (BCDA\cong RSTU), then (GHIJ\cong RSTU) (by the transitive property of congruence).

Step2: Identify corresponding sides

In congruent figures (GHIJ) and (RSTU), side (IJ) in (GHIJ) corresponds to side (TS) in (RSTU).

Step3: Find the length of (TS)

Given (IJ = 10) cm, and (IJ\cong TS), so (TS=10) cm.