NAME-DATE-PERIOD-8-4-Study-Guide-And-Intervention.pdf

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7-5 Study Guide and Intervention Parts of Similar Triangles Special Segments of Similar Triangles When two triangles are similar, corresponding altitudes, angle bisectors, and medians are proportional to the corresponding sides. Exercises Find x. 1. x 36 18 20 2. 6 9 12 x 3. 3 3 4 x 4. 10 10 x 8 7 8 5. 45 42 x 30 6. 14 12 12 x Example In the figure, ABC ? XYZ, with angle bisectors as shown ...

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###### NAME DATE PERIOD 4-5 Study Guide and Intervention

Study Guide and Intervention (continued) Completing the Square Complete the Square To complete the square for a quadratic expression of the form x2 + bx, follow these steps. 1. Find ?b . 2 2. Square ?b . 2 3. Add (?b 2) 2 to x2 + bx. 2Find the value of c that makes x2 + 22x + c a perfect square trinomial. Then write the trinomial as the ...

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9-4 Study Guide and Intervention Solving Quadratic Equations by Completing the Square Complete the Square Perfect square trinomials can be solved quickly by taking the square root of both sides of the equation . A quadratic equation that is not in perfect square form can be made into a perfect square by a method called completing the square. Completing the Square To complete the square for any ...

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Study Guide and Intervention (continued) Solving Quadratic Equations by Factoring Solve Equations by Factoring When you use factoring to solve a quadratic equation, you use the following property. Zero Product Property For any real numbers a and b, if ab= 0, then either a= 0 or b =0, or both a and b= 0. Solve each equation by factoring. a. 3x2 ...

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Study Guide and Intervention (continued) Solving Quadratic Equations by Using the Quadratic Formula The Discriminant In the Quadratic Formula, x=-b ± 2 ? - 4ac ? , the expression 2a under the radical sign, b2 - 4ac, is called the discriminant. The discriminant can be used to determine the number of real solutions for a quadratic equation.

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