36. What is the equi valent statement of the conditional: "If three points are non-collinear, then they form a unique plane."? If three points are collinear, then they do not form a unique pla ne. If three points form a unique pla ne, then they are non-collinear. 37. What is the equivalent statement of the converse: "if the Lines do not intersect, then they are parallel. "? If two lines intersect, then they a re paralel. O If two lines are pa ra llel, then they never intersect. 38. What will be the valid conclusion for the given hypothesis: "If m 41+m 2- 90, Then they a re congruent. O Then they a re complementary.

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: You are asked to draw an equiangular rhombus, an equilateral rectangle, and a parallelogram with…

A:

Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM≌TM  and  RS is parallel to TU.…

A: In quadrilateral RSTU, RT and SU intersect at point M, so that RM≌TM and RS is parallel to TU. Which…

Q: Which of the following statements is correct? A. If a transversal intersects two parallel lines,…

A: A. If a transversal intersects two parallel lines, then the alternate angles formed are congruent.…

Q: Quadrilateral ABCD is a parallelogram. If consecutive angles are congruent, which statement must be…

A: Given that Quadrilateral ABCD is a parallelogram and consecutive angles are same

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles :   If two parallel lines are cut by a transversal,…

Q: 2.12. Karen knows that when two parallel lines are cut by a transversal, alternate interior angles…

A: Find your answer below. Let PQ and RS be tow parallel lines and MN are intersecting line. Then, the…

Q: III. Prove : If two lines are cut by a transversal so as to form a pair of equal alternate interior…

A:

Q: 3. Conduct a formal proof to prove that the diagonals of an isosceles trapezoid are congruent.

A: Given: Consider the isosceles trapezoid ABCD shown below: AB=CD To prove: AC≅BD

Q: ments refers to non-Euclidian geometry only? I. Parallel lines never meet.  II. If a line…

A: In this question, the concept of non-Euclidian Geometry is applied. Non-Euclidian Geometry Any…

Q: A quadrilateral has vertices Q (-2, -2), R (0, 2), S (4, 3), and T (3,-1). Which statement about…

A: Solution: The objective is to determine the statement about quadrilateral QRST

Q: If one pair of opposite sides in a quadrilateral is congruent, then the quadrilateral is a…

A:

Q: If two figures are similar, can you conclude that corresponding angles are congruent? Why or why…

A: We will find which option is correct as following.

Q: If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a trapezoid. O…

A:

Q: Which statement is true if AMNP - AXYZ? A. Corresponding angles of A MNP and A XYZ are always…

A:

Q: Which statement is false? A parallelogram is a rhombus if its diagonals are congruent. O A…

A: For a parallelogram to be a rhombus, all the sides of parallelogram should be equal. Whereas,for a…

Q: triangle MNP is formed by arranging three squares.   Which statement must be true for triangle MNP…

A:

Q: In the figure, transversal m intersects parallel lines į and k. Part B Based on the given figure, a…

A:

Q: Which theorem justifies this method of construction? A If two lines in a plane are cut by a…

A:

Q: B. Indicate with a check () mark in the table below the property that corresponds to the given…

A: We need to complete the table. Opposite angles are congruent in parallelogram, rectangle, rhombus…

Q: Which statement must be true for triangle MNP to be a right triangle?     A The sum of the areas…

A: given ,  a Picture , we have to find condition when triangle MNP is right triangle . lets suppose…

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: The fact that a parallelogram has pairs of parallel sides is stated in the definition of a…

A:

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: 4. The line segment that joins the midpoints of the nonparallel sides of a trapezoid is parallel to…

A: A trapezoid is a quadrilateral with one pair of parallel sides. Consider the figure given below:…

Q: Write a COORDINATE PROOF to prove each of the following.

A:

Q: 4. If the top and bottom buttons in the upholstery in this orange couch are connected, a perfectly…

A: Condition given: Top and bottom buttons in the upholstery are connected perfectly and they create a…

Q: 2. Show that a quadrilateral whose opposite sides are equal is a paral- lelogram, but that the…

A: All side of quadrilateral are equal and opposite side of parallelogram are equal. see 2nd step.

Q: 6. Given: Quadrilateral PQRS with PO | RS and PQ = FS. Hector began a proof using the following…

A: we have to find out

Q: 5. State whether each quadrilateral must have congruent diagonals. A parallelogram O Yes O No B…

A:

Q: 1 The diagram below shows the construction of AB ( through point P parallel to CD. P B C Which…

A: First we need to recognize the angles which are used in construction and then opt for the respective…

Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A:

Q: An isosceles trapezoid has two congruent legs. O True O False

A: Solution is given below:

Q: 4 A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

A:

Q: Use the diagram of parallel lines cut by a transversal to answer the question. How can it be…

A: The diagram of nparallel line cut bt a transversal line.

Q: 1. If two lines are cut by a transversal such that the alternate exterior angles are congruent, then…

A: Since we are given with the multiple question, our guideline is solve first question so kindly…

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A:

Q: 16 Consider the following figure and choose the approprlate reason for the statement glven In the…

A: Linear pair angles sum is 180° .

Q: If M and N are the midpoints of nonparallel sides HJ and LK of trapezoid HJKL, then MN= 1/2(?? +…

A: Solution

Q: An isosceles trapezoid has two congruent legs. O True False

A: We use properties of isosceles trapezoid

Q: Look at the condltlons below. 1. If a quadrilateral has four right angles, then It Is a rectangle.…

A: By the given conditions, if a quadrilateral has 4 right angles, then the quadrilateral is definitely…

Q: Here is the definition of a square: "A quadrilateral with four congruent sides and four right…

A: Given, The definition of square  We have to find the logical equivalent statement to define a…

Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A: The correct option is 1st option i.e. True i.e. if a pair of sides in a quadrilateral is both…

Q: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

A: To write that the given statement is true or false

Q: 1. The vertices of a quadrilateral are M(-1, 1), N(1, -2), O(5, 0) and P(3, 3). Which statement…

A: To find the correct option

Q: If a quadrilateral has diagonals that are perpendicular, then the quadrilateral can always be…

A:

Q: Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex…

A: Consider the given: Given:AB=A'B'In a parallelogram, parallel sides have equal length.In…

Q: Which statement requires additional information to prove that a quadrilateral is a parallelogram?…

A: As above first  three statement are telling about the property of a parallelogram or we can say that…

Q: if C, A, L, E, B are points on a line and L is the midpoint. what is the measure of Line CB if CAL…

A:

Q: 1. Which statement requires additional information to prove that a quadrilateral is a parallelogram?…

A: In the figure as shown below there is one pair of the quadrilateral is parallel.