By CK-12 Foundation

CK-12’s Geometry - moment version is a transparent presentation of the necessities of geometry for the highschool pupil. subject matters comprise: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & sector, quantity, and changes. quantity 2 contains the final 6 chapters: Similarity, correct Triangle Trigonometry, Circles, Perimeter and sector, floor region and quantity, and inflexible variations.

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**Example text**

Let the longest sides represent , in the equation. a) The triangle is a right triangle. b) The triangle is not a right triangle. Identifying Acute and Obtuse Triangles We can extend the converse of the Pythagorean Theorem to determine if a triangle has an obtuse angle or is acute. We know that if the sum of the squares of the two smaller sides equals the square of the larger side, then the triangle is right. We can also interpret the outcome if the sum of the squares of the smaller sides does not equal the square of the third.

Then, cut out the rectangles and place inside the square. Review Questions The votes for president in a club election were: Find the following ratios and write in simplest form. Votes for Munoz to Smith Votes for Park to Munoz Votes for Smith to total votes Votes for Smith to Munoz to Park Use the picture to write the following ratios for questions 2-6. is a square is a rectangle Perimeter : Perimeter : Perimeter The measures of the angles of a triangle are have the ratio 3:3:4. What are the measures of the angles?

Writing How many angles need to be congruent to show that two triangles are similar? Why? Writing How do congruent triangles and similar triangles differ? How are they the same? Use the triangles to the left for questions 5-9. and . Are the two triangles similar? How do you know? Write an expression for in terms of . If , what is ? Fill in the blanks: If an acute angle of a _______ triangle is congruent to an acute angle in another ________ triangle, then the two triangles are _______. Are the following triangles similar?