C Clever | Portal XA Achieve3000: T XO Assignments: XO Class-Openen x O WORLD HISTO XO Assignments:E xA student.masteryconnect.comSection 5 Assessment: Introduction to Triangles Part 1WILLORY, PARIS11 of 1467.8.6.10 11 12 13In the figure below, QR SR and PR TR.Based only on the given information, which theorem could be used to prove A PQRATSR?O Side-Side-SideO Side-Angle-SideO Side-Side-AngleO Angle-Side-Angle

In the figure ,QR≅SR and PR≅TR~Here , ∆PQR and ∆TSR ,we haveQR≅SRPR≅TRand <PQR≅<TRS…

Section 5 Assessment: Introduction to Triangles Part 1 WILLORY, PARIS DO 6. 7. 8. 10 11 12 13 11 of 14 In the figure below, QR SR and PR TR. Based only on the given information, which theorem could be used to prove A PQRA TSR? O Side-Side-Side O Side-Angle-Side O Side-Side-Angle O Angle-Side-Angle

Section 5 Assessment: Introduction to Triangles Part 1 WILLORY, PARIS DO 6. 7. 8. 10 11 12 13 11 of 14 In the figure below, QR SR and PR TR. Based only on the given information, which theorem could be used to prove A PQRA TSR? O Side-Side-Side O Side-Angle-Side O Side-Side-Angle O Angle-Side-Angle

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Section 5 Assessment: Introduction to Triangles Part 1
WILLORY, PARIS
11 of 14
6
7.
8.
6.
10 11 12 13
In the figure below, QR SR and PR TR.
Based only on the given information, which theorem could be used to prove A PQRATSR?
O Side-Side-Side
O Side-Angle-Side
O Side-Side-Angle
O Angle-Side-Angle

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The Pythagorean Theorem from Similar Right Triangles Let AABC be any right triangle (see figure below), with the measures of the sides as indicated and the altitude to the hypotenuse of length h. Observe the triangles formed by drawing this altitude, CD, which are separated and rearranged into comparable positions. B a с D 1. How are the three triangles related? How do you know? Original triangle a b b a h Subtrianleh #1 C1 Subtriangle C2 #2 2. Determine all the equivalent ratios between the side lengths for the original triangle and sub-triangle #1. 3. Determine all the equivalent ratios between the side lengths for the original triangle and sub-triangle #2. 4. Use some of the ratios you found in #2 and #3 to derive the Pythagorean Theorem, e.g., a² + b² = c².
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