Presentation is loading. Please wait.

Presentation is loading. Please wait.

Quiz Topics Friday’s Quiz will cover: 1) Proportions(parallel lines and angle bisectors of triangles) 2) Pythagorean Theorem 3) Special Right Triangles.

Similar presentations


Presentation on theme: "Quiz Topics Friday’s Quiz will cover: 1) Proportions(parallel lines and angle bisectors of triangles) 2) Pythagorean Theorem 3) Special Right Triangles."— Presentation transcript:

1 Quiz Topics Friday’s Quiz will cover: 1) Proportions(parallel lines and angle bisectors of triangles) 2) Pythagorean Theorem 3) Special Right Triangles 4) Trig Ratios 5) Solving pieces of triangles using trig ratios

2 Parallel Lines and Proportions Theorem 8.6: If three parallel lines intersect two transversals, then they divide the transversals proportionally. Meaning:

3 Parallel Lines and Proportions Example: (Solve for x and put the answer in the Review ? section of your bell work) You can put your work on the back, but the answer must be on the front to receive credit. X = _____

4 Theorem 8.7 Theorem 8.7: If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other to sides Meaning:

5 Angle Bisectors and Proportions Example: X = _____

6 Pythagorean Theorem Pythagorean Theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. We know: a² + b² = c² ***Remember c is always across from the 90° Example: How do we find x? 3² + 4² = x² 9 + 16 = x² 25 = x² 5 = x x 4 3

7 Pythagorean Theorem Example Example: X = _____

8 Special Right Triangles Rules 45-45-90: The hypotenuse of a 45-45-90 right triangle will always be a multiple of the √2. The legs will always be congruent. ***To find the legs, simply divide the hypotenuse by √2

9 Special Right Triangle Theorems s l = h = 2s 2 x

10 Special Right Triangle Examples 45-45-90 X = _____ 30-60-90 Y = _____

11 9.5 Trig Ratios ***Pretend you are standing at angle A

12 Trig Ratio Example Example: Sin A = _____

13 Solving Using Trig Ratios 1) Determine what pieces you have from given angle 2) Create trig ratios 3) Convert Trig Ratio to decimal 4) Solve for the variable opp adj hyp

14 Solving Using Trig Example Example: X = _____


Download ppt "Quiz Topics Friday’s Quiz will cover: 1) Proportions(parallel lines and angle bisectors of triangles) 2) Pythagorean Theorem 3) Special Right Triangles."

Similar presentations


Ads by Google