1. Which of the following statement is true?  a. Triangles and quadrilaterals are both polygons. b. Triangles and quadrilaterals are both a closed plane figure c. All A and B is true   2. Which of the following statements present the relation of triangles and quadrilaterals? a. if you divide a quadrilateral diagonally, you will have two triangles. b. if you divide a quadrilateral diagonally, you will have three triangles. c. If you divide a quadrilateral diagonally, you will have four triangles.

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

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Q: One pair of parallel sides proves a quadrilateral to be a parallelogram O True O False

A: The quadrilateral with one pair of parallel sides is a trapezoid, not a parallelogram. for a…

Q: - equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting…

A: let the length of the lots =L and breadth of the lots= x area of the lots = L×x It is given that…

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

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Q: 4. If HK is the perpendicular bisector of FE, which of the following statements is not true. F H. O…

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Q: II. Draw a Venn diagram illustrating the relationships among the sets of all quadrilaterals (Q),…

A: to draw Venn diagram representation of  quadrilaterals Q parallelograms P Trapezoids T rectangles R…

Q: Complete the proof by filling in the missing statements and reasons. * Given: A • Quadrilateral FAIR…

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Q: 5. If two polygons are SIMILAR, then the corresponding sides must be [A] proportional [B] similar…

A: A option is correct. ProportionalThere are two  conditions (tests) for two polygons to be similar:…

Q: A parallelogram is defined as a quadrilateral that has one pair of opposite congruent sides. O True…

A: False

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

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Q: 5. Which of the following is TRUE for the given quadrilateral?

A: The true Statements follow :   A : m∠T + m∠S = 180° E : TU is parallel to SW  J : STUW is a…

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

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Q: Which statement is true? A) All quadrilaterals are parallelograms with TWO PAIRS of PARALLEL SIDES.…

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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: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

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

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Q: Given: <C and <D are supplementary m< B = m<DProve: AB is congruent to CD (give reasons…

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Q: Draw a Venn diagram or other clear diagram that shows the relationships among the categories of…

A: properties of quadrilaterals: quadrilaterals is a 4 sides. it has 2 diagonals. 1) square it has 4…

Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: 4. Which of the following quadrilateral is a rectangle? A. One that has four right angles. B. One…

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Q: Which of the following conditions is NOT sufficient to prove that a quadrilateral is a…

A: We can find the answer as below.

Q: For any convex polygon, which of the following statements is true? Select all that apply. The sum of…

A: 2,3 correct

Q: 11. Can you prove this quadrilateral is a parallelogram? K

A: No, this quadrilateral can not be proved to be parallelogram due to insufficient condition.

Q: In the given figure, quadrilateral ABCD is a rectangle, and quadrilateral ACED is a parallelogram. E…

A: As per the SAS test, the two triangles are congruent if any two corresponding sides and the angle…

Q: The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a…

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Q: What is the most precise classification for the quadrilateral shown in the graph below? 14 13 12 11…

A: This quadrilateral have vertex  A(13,-5), B(14,10), C(-1,9), D(-3,-7)

Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

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: Which of the following statements is false? OA. The base angles of an isosceles trapezoid are…

A: We have to check

Q: 13. Which quadrilaterals always have diagonals that are congruent? 14. Which quadrilaterals always…

A: according to our terms and condition i have solved first 3 question for next question repost

Q: Give the converse of "If all figures are four-sided planes, then figures are rectangles.” If…

A: For the logical statement, "If p, then q", the hypothesis is p and the conclusion is q. It can be…

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: What is Line segment ABZ and AC A and Proof that these 12" 300 1) C 2 triangles are Similar '8 = }/…

A: Given that a figure containing two triangles. Prove that the two triangles are similar.…

Q: Here are two more quadrilaterals. 120 120 H 1 120 120° 3 60 60° 60° 60 4. 5. Kiran says that Polygon…

A: For being a scaled copy of the quadrilateral, the ratio of the sides after transformation has to be…

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

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

A: Solution is given below:

Q: Which of the following sets of inequalities describes the upper hemisphere, including its boundary,…

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Q: Which statement is true about every exterior angle of any quadrilateral inscribed in a circle? The…

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Q: Which statement goes with the following drawing? O If a transversal is perpendicular to one of two…

A: Given query is to find the correct statement for the figure.

Q: If both pairs of opposite angles are congruent in a quadrilateral, then the quadrilateral is a…

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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: 2. What is line r called and what are 21 and 22? 1

A: Given that p and q are two lines and r is the transversal line.

Q: 1. List the pairs of congruent angles and the extended proportion that relates the corresponding…

A: If a polygon is similar to other polygons, then their corresponding angles are equal and the ratio…

Q: For each of the following quadrilaterals, select all the propertles that must be true. Two palrs of…

A: Only properties which mist be true are:-

Q: 20. Which of the following statements is FALSE? O All rectangles are parallelograms. O All squares…

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Q: 3. If each of the two incident angles in a right-sided triangle is equal to 300, then the length of…

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Q: that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.

A: A quadrilateral inscribed in a circle is known as a cyclic quadrilateral. so,  if a pair of…

Q: Which statement goes with the following drawing? O If two lines are perpendicular, then their…

A: Please see the answer below.

Q: Which of the following facts will not necessarily prove that two lines are parallel when cut by a…

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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.