Name Grade and Section: TRUE OR FALSE Directions : Write T if the statement is correct and F if it is incorrect. Write your answer on the space provided before each number. 1. Does the set of numbers represent a right triangle? 20, 25. 15 2. Do the lengths form a right trim 3. In Pythagorean Theoremn, Side a out a right triangle is ALWAYS the longest side. 4. The Pythagorean Theorem is a bit et 5. Would a triangle with these side lengths be a right triangle? 4, 5. 6 MULTIPLE CHOICE Directions: Choose and write the letter of the correct answer on the space provided before each number. 6, Which of the following sentences would belong in the proof that describes this image? A. The sum of the areas of the two smaller squares is equal to the area of the large square. b. The sum of the side lengths of the two smaller squares is equal to the side length of the large square. The difference of the areas of the two smaller squares is equal to the area of the large square d. The differences of the side lengths of the two smaller squares is equal to the side length of the large square. 7. fa right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse? 1 6 6. 6.7 C. 3 d. 15.7 8. What is the side of a right triangle across from the right angle called? a. Square by arm c. leg d. hypotenuse 9. Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that provets) the similarity. a. AA - Theorem c. SSS - Theorem b. SAS - Theorem d. Not similar 10. If you are given the SHORT LEG of a 30-60-90 triangle. how do you find the LONG LEG? 4. Multiply by 2 b. Divide by 2 c. Multiply by v3 d. Divide by 13 I1. Determine whether the triangles are similar or not. If so. state how they are similar. Yes, by AA Similarity B 36 b. Yes, by SSS Similarity c Yes, by SAS Similarity 15 d No, not similar 24 10 A 12. The Side-Angle-Side Similarity (SAS -) Theorem states that if two sides of one triangle are to two sides of another triangle and their angles are congruent, then th triangles are similar. a. adjacent; intersect c. adjacent; create b. complementary; form d. proportional; included 13, Which is not a similar triangle theorem? a ASA b. SAS c. SSS d. AA 14. If two figures are similar, the corresponding sides are a. Equal b, congruent c. proportional d, none of these 15. If two figures are similar their angles are n. Proportional b. congruent c. supplementary d. complementary 16. The Pythagorean Theorem ONLY works on which triangle? a Obtuse b. scalene c. isosceles d. right17. What is a right triangle? a. A triangle where all sides equal 90 degrees c. A triangle where all three sides are equal b. A triangle where every angle is 90 degrees d. A triangle where there is a 90 degree angle 18. Define the term 'right angle' a. Three angles in a right triangle c. Any angle less than 90 degrees b. When two angles in a triangle are 90 degrees d. A 90 degree angle 19. The Pythagorean Theorem is a. atb=c b. a + b = c? c. at b + c? d. A = LW 20. Which set of sides would make a right triangle? a. 4,5,6 b. 8.10,12 c. 5.12.13 d. 5.10.12 21. A 45-45-90 Right Triangle is also known as a 1. Equilateral Triangle (all sides are equal) b. Scalene Triangle (No equal sides) C. Isosceles Triangle (2 equal sides) 4 2 4 2 d. None of these 22. Use the 45-45-90 theorem to solve for the hypotenuse. a. 16 b. 8 C. 8V2 d. V16 23. If the leg of a 45-45-90 triangle is 7 cm long. then its hypotenuse is em. answer choices a. 7:2 b. 49V2 C. 7 d. 717 24. What are x and y in this 30-60-90 triangle? 60 a. x =6y =3v3 c. x = 3\\3 y = 6 b. x = 1.5v3 y =1.5 d. x = \\3 y = 2V3 3 25. If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the HYPOTENUSE? a. Multiply by 2 b. Divide by 2 c. Multiply by v3 d. Divide by V3