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Proportional Sides of Similar Triangles
publish date: 2026/05/14 21:40:15.909227 UTC
Given \(\triangle PQR \sim \triangle CDE\), complete the compact proportion of all three pairs of corresponding sides:
\(\dfrac{PQ}{\Box} = \dfrac{QR}{\Box} = \dfrac{PR}{\Box}\)
- Side \(PQ \cong\) = (1)
- Side \(QR \cong\) = (2)
- Side \(PR \cong\) = (3)
Please drag and drop the selected option in the right place or type it instead
CD
DE
CE
Correct Answer
(1) CD
(2) DE
(3) CE
Explanation
The correspondence P↔C, Q↔D, R↔E pairs each side with its counterpart: PQ (connects P and Q) corresponds to CD (connects C and D), QR corresponds to DE, and PR corresponds to CE. So: \(\dfrac{PQ}{CD} = \dfrac{QR}{DE} = \dfrac{PR}{CE}\).
Reference
Mathematics for college students