Construct a line perpendicular to the line below that passes through point R.
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1 elp, ples LE ook s. s S e T s H s WRIG Cla #8 EOU Review Name #8R Name an angle or angles in the diagram described by each of the following. 1. Supplementary to Ð AOD 2. Adjacent & congruent to Ð AOE 3. A pair of vertical angles 4. Complementary to Ð EOD ID: 1 (8-2)A Segments Angles Angle Bisectors Name W y2d02114t DKzuKtNav osjobfnt0wdaor0ef wlzlccq.i x GAZl9l8 mr8imgahqt0sd zrueqsiesrivnetdx.p Use the diagram to find the measure of each of the following angles. Construct a line segment congruent to each given line segment. 5. Ð EOC 6. Ð DOC 7. Ð BOC 8. Ð AOB 1) 2) Construct a line segment whose length is equal to the sum of the lengths of the given line segments. 3) 4) Construct a line segment the given number of times longer than the given segment. 5) times as long 6) times as long Construct a copy of each angle given. 7) 13. 8) 14. Construct the bisector of each angle. 11) Construct the bisector of each angle ) 12) 9) 10) 10.2c (refine) Scalar Multiplication 10.2c (refine) Scalar Multiplication Graph the scalar multiple of each vector. Graph the scalar multiple of each vector. 1. 3u u c 13) (refine) Scalar Multiplication Graph the scalar multiple of each vector. 14) ) 15) 3. -4v 3. -4v
2 Construct a line perpendicular to the line below that passes through point R Construct a line perpendicular to the lines below that pass through point M Draw the perpendicular bisector of both of the Construct the four perpendicular bisectors of the two line segments. sides of the rectangle below Construct a line parallel to the one below that Construct a line parallel to the one below that passes through the point R. passes through the point R. R R
3 24. Create a circle using a compass and straightedge to find the center. 25. Construct an equilateral triangle inscribed in a circle. True or False: The length of the arrow represents the direction, while the direction in which it points represents the magnitude A two-dimensional vector v is an ordered pair of real numbers, denoted in component form as ab,. Sketch the vector and find the magnitude v 3, v 5, v 2, 4 Find the magnitude of each t 7, u 12, w 36, 15 Solve each problem Suppose a plane is traveling east at 110 km/hr with a headwind of 20 km/hr. Model the situation with vectors and find the resulting speed of the plane Suppose a plane is traveling east at 110 km/hr with a tailwind of 20 km/hr. Model the situation with vectors and find the resulting speed of the plane.
4 Graph the scalar multiple of each vector u v For problems 10 15, use the following v 3, 2, u 4,1 and w 3, 6. Find the magnitude of the new vector. Round to the nearest thousandths u v w v 4u u + 12w v + 2w Find the new vector by following the directions below. Then graph the transformed vector Dilate w 3,9 by a factor of Rotate t 2,3 using Find the new vector by reflecting the original. Graph the transformed vector, then describe the results Reflect v 2,5 across the Reflect w 1, 4 across the x Reflect t 4, 6 across the origin axis y axis
5 Use determinants to find the area of the triangle and parallelogram. 8. triangle with vertices (1, 4), (2, -5), and (-6, -6) parallelogram with vertices (1, -1), (4, -2), (5, 2) and (2, 3) Construct a hexagon inscribed in a given circle with a compass and straightedge. 52.
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