Which segment has the shortest length? (x - h)2 + (y - k)2 = r2 Which trigonometric ratio is equivalent to sin B? Please enter your credentials below! Start with the standard form of the equation: Side AB has a slope of 2, which is the negative reciprocal. In the diagram below of triangle ABC, AC is extended through Both of those are incorrect choices. Again, this is a common Pythagorean Triple: 8-15-17. Invictus. "); -1 + 3 = 2, so the x-coordinate of M is 2. window? The figure below shows a rhombus with noncongruent diagonals. Hint: if you look at the answers, not of the multiples of pi are irrational, meaning that the sides of the right triangle form a Pythagorean Triple. By Pythagorean Theorem (or recognizing 3-4-5), IM = 20. 3. (1) 80 (3) 20 (2) 40 (4) 10 VN EU BD D A B C E CB AC DE AB Use this space for computations. Which sequence of transformations will map ABC onto DEF? long and 5 inches wide is continuously rotated about the longer side? Which sequence of transformations will map ABC onto DEF? 1) ∠ ABC ≅ ∠ CDA 2) AC ≅ BD 3) AC ⊥ BD 4) AB ⊥ CD 121 A parallelogram must be a rhombus if its diagonals 1) are congruent 2) bisect each other 3) do not bisect its angles 4) are perpendicular to each other 122 In rhombus VENU, diagonals VN and EU intersect at S. 7. PQ = 25. Both of those are incorrect choices. U Given right triangle ABC with a right angle at C, m∠B = 61°. Francisco must purchase in order to have enough to complete the Since 15 = 3 times 5, the other two legs are 4 * 5 = 20 and 5 * 5 = 25. Therefore, choice (3) is not correct. m∠YAN = 38°, m∠AVY = 94°, and m∠VAY = 46 Hint: if you look at the answers, not of the multiples of pi are irrational, meaning that the sides of the right triangle form a Pythagorean Triple. Choice (1) uses the adjacent side instead of the opposite. point C to point D, and BE is drawn to AC. Answer: (3) a dilation of ABC by a scale factor of 2 centered at the origin, Now look at the choices: (-1,-3) and B has coordinates (8,9), the coordinates of M are End of Part I Which trigonometric ratio is equivalent to sin B? x = 2640 tan 11.87° = 554.89... Answer: (1) x2 - 2x + y2 - 8y = 8 To get an altitude, we need a right angle. Which three-dimensional figure will result when a rectangle 6 inches In the diagram below of triangle ABC, AC is extended through There's a 5-12-13 right triangle. circle, triangle KAE and triangle ITE are drawn, arc KE = arc EI, and ∠EKA = ∠EIT. 10. Lord bless you today! Again, this is a common Pythagorean Triple: 8-15-17. You have the adjacent side and the hypotenuse, so the easiest way to find A would be cos A = 8/17. ON = 3x + 11, and PQ = So h = (6.52 - 2.52)(1/2) = 6. A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent.. (3/4)(-4) = -3. IK is the hypotenuse of the IGK, and the shorter leg of IKM. Answer: (4) They are congruent. (At this point, drop the π, because they factor out.) The other way to do this: The Right Triangle Altitude Theorem tells us that KG/IG = IG/GM. 0 0. 21. And just to make things clear, some rhombuses are … followed by a rotation of 180° about the origin 4 The area of a sector of a circle with a radius measuring 15 cm is It goes big to small equals small to big. A. Answer: (2) 40 If the diagonals have lengths 12 and 16 and they bisect each other, then the rhombus can be divided into four right triangles with legs of 6 and 8. A: Explanation of the solution is given below... Q: Refer to the figure. By elimination, you know that the answer is (4). Each correct answer is worth up to 2 credits. document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); In the diagram below of right triangle KMI, altitude IG is drawn to Total is 640. Side AB maps on side DE, so 2x = 1 = 16 m∠10 = 65    and  m∠8 = 65 BD = 6.25 The bottom of the tent is a prism. 7 In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter of the rhombus? Find the sum of lengths of the diagonals. A. excretory, skeletal, and digestive B. digestive, circulatory, and excretory C. excretory, circulatory, and nervous D. digestive, nervous, and endocrine 14. That makes the hypotenuses of those triangles equal to 10, which is the length of one side of the rhombus. 12. Diagonals bisect vertex angles. 18. sqrt(3^2 + 2^2) = sqrt(13). We know that rhombus is a parallelogram. Answer: (4) They are congruent. 225π / 75π = 360 / x. Since diagonals of rhombus are always perpendicular, therefore, the missing word from our given sentence is … 17. Common mistakes: using the slant height as the height, and forgetting the (1/3). In the diagram below, triangle ABC with sides of 13, 15, and 16, is mapped onto triangle DEF after a clockwise rotation of 90° about point P. O

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