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- Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle into two right triangles that are similar to each other and to the original right triangle.Show whether or not the diagonals of parallelogram ABCD bisect each other given A(-2,2), B(1,4), C(2,8) and D(-1,6).If A(1,1,5), B(3,1,7), C(4,1,3) and D(6,1,5) are the nodes of a rhombus (parallelogram). Get the area of the rhombus.
- Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10).Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a parallelogram, not arectangle. (No points will be given for drawing a diagram).d) the transpose of x. 2- If x= [2 8 5; 97 1], b=[2 4 5] find: a) find the maximum and minimum of x. b) add the vector b as a third row to x.
- Do all parts with explainationThe vertices of a quadrilateral are A(9, 4), B(8,-2), C(2,-5), and D(3,-7). Classify the quadrilateral as specifically as possible. Classify the quadrilateral as specifically as possible. O Square Rhombus Rectangle Parallelogram O TrapezoidFor any parallelogram, provethat the sum of the squares of the lengths of the sides equalsthe sum of the squares of the lengths of the diagonals.[Hint: Use (0, 0), (a, 0), 1a + b, c2, and (b, c) as the verticesof the parallelogram. Assume a, b, and c are positive.]
- is it a square, rectangle, rhombus, or parallelogram._8. What type of quadrilateral is PQRS? Given: P(-5, 2); Q(4,5); R(6, -1); S(-3,4) a. rhombus b. rectangle d. trapezoid C. square where given L(6,7); M(11,7); N(8,3); O(3,3) 9.1 know that LMNO is a rhombus because_ a. opposite sides are congruent b. it has 4 congruent four sides and diagonals are congruent. c. It has 4 congruent sides and diagonals are not congruent. d. LMNO is not a rhombus. _10. If a triangle with vertices of (-3,0), (0,3), (3,0) classify it by its sides. a. Isosceles b. equilateral c. scalene d. obtuse _11. A chord of a circle which is twice as long as its radius is a of the circle. a. Diameter b. perpendicular c. arc d. secant 12. The angle subtended by the diameter of a semi-circle is what degree? a. 45 13. If the radius of the circle is 5 inches, what is the diameter? b. 60 c. 90 d. 180 а. 2 b.5 с. 10 d. 25 14. What is the constant value of Pi? а. 3.14 b. 3.5 C. 4.15 d. 6.3 _15. A circle has a number of tangents equal to_? а. О b. 1 с. 2 d. infinite 16. In how…Quadrilateral ABCD has vertices A (1, -1), B (7, 1), C (8, -2) and D (2, -4). Determine whether ABCD is a parallelogram. Explain.
