QUESTION 11 Which of the following has 1 pair of parallel sides and 1 pair of...
The instructions of an art project tell students to cut a piece of paper into a quadrilateral with one pair of congruent sides. If all of the students follow the instructions, each paper will be which:-A parallelogram-An isosceles trapezoid-A rectangle-No classification guaranteed
QUESTION 1 Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x. 15 15 18.75 7.5 2 points QUESTION 2 Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three. rhombus square rectangle rhombus, square and rectangle 2 points QUESTION 3 In rectangle JKLM, JK is equal to 12 feet, and LN is equal...
12. Draw the inner quadrilateral of a square using its midsegments. Then, draw a new inner quadrilateral inside that one, and then another inside the second. Do the same for a rectangle, a rhombus, a parallelogram, a kite, and a trapezoid. Do you notice any patterns? Begin with a conjecture, then either support it with examples or disprove it with a counterexample.
Consider the qualitative analysis scheme for quadrilaterals presented in Figure 14-2. Would the scheme be less efficient if the order of the last two questions were reversed? Does the Figure have four sides? Not a quadrilateral Does the Figure have at least two sides that are parallel to each other? It is an irregular quadrilateral Does the Figure have two sets of parallel sides? It is a trapezoid Does the Figure have four sides of equal length? Are the corners...
5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of the trapezoid are congruent 6.Assume Euclidean geometry. Let ABCD be a trapezoid with ADI BC and with AB-AD. Show that BD bisects angle LABC. 5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of...
29-35 For exercises 29-34, find the type of quadrilateral that could fit the given description. There may be more than one for each description. 29. Has two pairs of congruent sides. 30. All four angles are right angles. 31. At least two sides are congruent. 32. All four sides are congruent. 33. H as two pairs of congruent sides but no two sides are parallel. 34. Only one pair of sides is congruent. 35, Find the two missing angles and...
Part III (3 pts) For cach of the property statement below, determine which geometry would BEST xhoi given property (choose only one!). Please use A. for Euclidean geometry, B. for hypere geometry, gcometry and D. for Neutral geometry for your identifications Example. A There is a triangle in which the sum of the measures of the interior angles is 180. a. The opposite sides of a parallelogram are congruent. b. Similar triangles may not be congruent. Lines perpendicular to the...
prove the following 1) 2) 3) 4)A parallelogram is a square iff it's diagonals are perpendicular and congruent. 5) the median of a trapeziod is parallel to each base 3.7) Corollary (Parallel CT). Let l, and l be coplanar lines and I a transversal. a. (Property C) 4 | l, if and only if a pair of interior angles on the same side of t are supplementary b. (Property T) Ift 1 l and 41 || 12, then t 1...
JAVA: Quadrilateral Inheritance Hierarchy Write an inheritance hierarchy for classes Quadrilateral, Parallelogram, Rectangle, and Square. Use Quadrilateral as the superclass of the hierarchy. Create and use a Point class to represent the points in each shape. Make the hierarchy as deep as possible, i.e. more than two levels. Specify the instance variables and methods for each class. The private instance variables of Quadrilateral should be the x-y coordinate pairs for the four endpoints of the Quadrilateral. A program that instantiates...
11 Normal No Spacing Heading 1 Heading 2 .Implement the following algorithm in Python a D D. a A rhombus is a parallelogram with four equal sides. See the diagram. The formula to calculate the perimeter of a rhombus in terms of only its diagonals (D1 and D2 in the diagram) is 2+VD+D3 Implement a function that returns a rhombus's periemter. Assume that the math module has been imported and you must use the math.sqrt function to calculate square roots...