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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 5.2

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Exercise 81 Page 289

Consider the SSS (Side-Side-Side) Congruence Theorem.

See solution.

Practice makes perfect

Let's add the given information to the diagram.

Examining the diagram, we notice that QR is shared between △ PRQ and △ SQR. Therefore, by the Reflexive Property of Equality we can claim that this side is congruent as well.

With this information we have enough to prove congruence by the SSS (Side-Side-Side) Congruence Theorem. If we separate the triangles, we see that ∠ P and ∠ S are corresponding angles and therefore congruent.

Let's show this as a flowchart.

Subchapter links

5.2.1 Perfect Square Equations p.285-286

5.2.2 Completing the Square p.289

5.2.3 More Completing the Square p.291-292

5.2.4 Introduction to the Quadratic Formula p.296-297

5.2.5 Solving and Applying Quadratic Equations p.301-304

5.2.6 Introducing Complex Numbers p.308-310