COEVALUATED BY: I. INSTRUCTIONS: Read the text carefully each of the following statements and relate both columns.
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1 UANL UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN SCHOOL PERIOD: SEMESTER: JANUARY JUNE 2019 INTEGRATIVE LABORATORY STAGE1 OF MANAGEMENT OF FORMS AND SPACES DATE: FEBRUARY 2019 MADE BY: ACADEMY OF MANAGEMENT OF FORMS AND SPACES SECOND SEMESTER ACADEMY CHIEF OF MANAGEMENT OF FORMS AND SPACES : MTRA: ADRIANA I. GARZA CERVANTES EDUCATIVE PROGRAM: BILINGUAL NAME: GROUP: ROLL GRADE COEVALUATED BY: I. INSTRUCTIONS: Read the text carefully each of the following statements and relate both columns. 1. ( ) If two rays have the same origin, then the union set of both is called. a. Orthocenter 2. ( ) Point where the medians of triangle are cut. b. Bisector 3. ( ) Common origin of two rays of an angle. c. Height 4. ( ) Branch of Mathematics which studies the properties of geometric bodies (length, area, volume, etc.). d. Circumcenter 5. ( ) 6. ( ) 7. ( ) 8. ( ) Ray that has its origin in the vertex of that same angle and divides it into two angles of equal measure. Line segment that joins the vertex with the middle point of its opposite side. Measurement system where a circumference is divided into 360 equal parts. e. Vertex f. Adjacent g. Incenter Perpendicular segment that goes from the vertex to the opposite side. h. Median 9. ( ) Two angles whose sum of both is equal to180 i. Acute angle 10. ( ) They are those two angles that have a common side and the other two are opposite rays. j. Barycenter 11. ( ) Point where the heights of triangle are cut. k. Geometry 12. ( ) Triangle that has three acute angles. l. Median line 13. ( ) Ray that passes through the midpoint of one side of a triangle in a perpendicular way. m. Sexagesimal 14. ( ) Point where the median lines of triangle are cut. n. Angle 15. ( ) Point where the bisectors of triangle are cut. o. Supplementary II. INSTRUCTIONS: Read carefully and write the corresponding procedure and encloses the correct answer. (Without a procedure your answer will not be valid). 16. Convert 210 into radians.
2 17. Convert into sexagesimal degrees. 18. In the following figure S represents the length of the arc, "x" the measure of the angle and "r" the radius. Calculate the value of the radius. A r x S Data: S = 70cm <x= 160 r = B 19. An engineer has designed a circular piece of metal for an electrical transport equipment. The following figure shows the design of the front view of the piece designed by that person. If the length S of the arch AB is 42 cm and the radius is 18 cm. Find the measure of the angle x in sexagesimal degrees. Data: S = 42 cm r = 18 cm <x= a) b) c) d) e) Fill in the following table with the respective complementary, supplementary and conjugate angles. ANGLE COMPLEMENTARY SUPPLEMENTARY CONJUGATE Find the value of x, if the angle and the angle 22. Determine the value of angle FOH for the following figure. a) b) 109 c) d) 18 e) 58
3 23. Calculate the value of "w", "x", "y" and "z", consider that r1 II r2 24. Determine the value of "x" in the following figure. 25. Find the value of "x" and "y" if r1 and r2 are parallel, and x> Find the value of "y" in the following figure; considers AC PQ.
4 27. Find the values of "x" and "y" in the following figure. 28. Find the values of "x" and "y" in the following figure. 29. In the following triangle, calculate the value of angle <BAC. Consider that BD is a bisector. BDC 30. If A, B and C are the interior angles of a triangle, where ( ) ( ) ( ) Determine the measure of angle B. 31. With the following measures of the sides of a triangle a = 10, b = 2 and c = 1, determine which shape is form: 32. In the following figure, DE and BC are parallel. Based on the given data, determine the value of "x".
5 33. If <BAD = <CAE, AE=AD, A is the midpoint of BC. Demonstrate that ΔBEA ΔDCA. Statement Justification a) SAS b) ASA c) SSS d) AA 34. In the following figure SQ RP, TR QV and ST = VP. Demonstrate that SQV RPT Statement Justification a) SAS b) ASA c) SSS d) AA 35. Using the following figure, find the difference between Homer's height and Bart's. a) 2.25 m b) 1.25 m c).75 m d) 1 m
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