Which of the following statements about tessellations is TRUE? O Every rectangle tessellates the plane. Every shape that has angles of 45° tessellates the plane. O Every shape that tessellates the plane is convex. Every shape that has angles of 35° tessellates the plane.

Q: Two planes ia te Porm ax +byCZ=d ax-by parallel or the same if a,b, and c are equal. Is this Ae…

A: Yes, it is true. If the coefficients of x, y and z of two planes are equal then the two planes are…

Q: 7) A B D In the above diagram: AD is a perpendicular bisector of BC Prove: ABD ADC (show your proof…

A:

Q: 3. The segments joining the midpoints of consecutive sides of an isosceles trapezoid form a rhombus.…

A: In order to prove this, we have to put the trapezoid to the coordinate system. In the attached photo…

Q: Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD.Line segments from a…

A: Consider the following figure.

Q: 1. Given: Parallelogram ABCD Prove: ACAB = ABCA A Statement Reason

A:

Q: 4. Given: LORT = ZSTR; ZS = ZQ Prove: QRST is a parallelogram Statements Reasons

A:

Q: If any Point o inside eR ouside a tetrahedron ABCD is Joined to the Vertices and AO BO, Co ,DO are…

A:

Q: Which of the following statements is false? OA. A rhombus is a quadrilateral. OB. A rhombus is a…

A: a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral…

Q: iven

A: Given △ABC Let X be any point in the plane so that AX, BX, CX are cevians of △ABC given to prove…

Q: Match the correct reason to the statements given in the proof below. R B Given: HS = SB, RS = SO, HR…

A:

Q: Which of the statements below is TRUE about the chords of a circle? 1. If two chords of a circle are…

A:

Q: a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain be…

A:

Q: Show that the sum of the two perpendiculars drawn from any point in the base of an isosceles…

A:

Q: In the diagram, O is the centre of the circle and A, B and D are points on the circle. Use Euclidean…

A:

Q: Which of the following statements is false? OA. The parallel sides of an isosceles trapezoid are…

A: An isosceles trapezoid is the trapezoid having two equal base angles. A rhombus is the parallelogram…

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of…

A: We have to proof as given in the question.

Q: The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel…

A: Since a trapezoid is isosceles, if its non-parallel sides are congurent.

Q: a. Kite LMNO with diagonals LNand MO intersecting at point X. b. A pyramid with a rectangular base.

A:

Q: Which of the following statements is false? A. A rhombus is a regular polygon. OB. The diagonals of…

A: (A) A rhombus has 4 sides of equal length but it does not have equal sized angles .       So , A…

Q: 1. Let AABC be an equilateral triangle, where the vertices are labeled in counter clockwise order.…

A:

Q: Match the correct reason to the statements given in the proof below. M N R P Given: MNOP is a…

A:

Q: Cavalieri's principle applies to pyramids. O True O False

A:

Q: Write a complete proof to prove that the base angles of an Isosceles trapezold are congruent. Gven:…

A: Given, TIME is an isosceles trapezoid with IT ≅ ME

Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

A: Solution

Q: 12. What information is needed to prove that CD is a perpendicular bisector for KM K L M D

A: We need to prove CD is a perpendicular bisector for KM. if CD is a perpendicular bisector for KM,…

Q: Which mathematician is known as the father of projective geometry? Bolyai Desargues Poincare Reimann

A: We know that Projective geometry, branch of mathematics that deals with the relationships between…

Q: A secant to two congruent circles, which is parallel to the line of centers OO', meets the first…

A:

Q: 7. Which of the following statements are true? T- The diagonals of a rectangle are congruent. Il -…

A: According to the property of the triangle, the diagonals bisect each other and are congruent to each…

Q: 9 A student wants to prove that the base angles of an isosceles triangle are congruent. The student…

A: According to question

Q: ABCD is an isosceles trapezoid. AABE is isosceles. Given: Prove: Statements 1. (No Response) 1. (No…

A: We can prove the required statement as below.

Q: In the proof below, one of the statements is XW = YZ. What is the reason for this statement? Given:…

A: The given data is: ∆XWZ≅∆XYZ, and ∆WZY≅∆WXY To prove: Quadrilateral XYZW is a parallelogram.

Q: Which of the following polygons can tile the plane? 1: regular pentagon II: regular hexagon A. I…

A: Since a regular pentagon and also a regular hexagon are two dimensional figures. i.e. they are in…

Q: Theorem 54=If a line divides two sides of a triangle proportionally, then it is parallel to the…

A:

Q: Let </aBc be an ounghe in +he sphene s? (so LAB C is actually a Lune). geometry , the Locus of…

A:

Q: Let ABC be a triangle and let P be a point inside. Let X, Y, Z be the intersections of AP, BP, CP…

A: Using Ceva's Theorem:     CXXB·BZZA·AYYC=1 ⇒CX·BZ·AY=XB·ZA·YC

Q: Find the angle planes 3xx + z=land radans between the Sy +z=. in

A: We use dot product between Normal vectors of given planes to find angle between these two planes

Q: Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. A E B G. C If…

A:

Q: Given: In a plane, a 1 b, b 1 c, and c || d. Prove: a || d 开! roof

A: We can write the paragraph proof as below.

Q: Given4ABC, let P,Q, andR be points on sides BC,AC, andAB, respectively, with RQ∦BC, and so that…

A: Consider the equation

Q: In the diagram, figure RQTS is the image of figure DEFC after a rigid transfc D R. C T: Name the…

A: Given,

Q: Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. A E D B G. C…

A:

Q: Write a complete proof to prove that the base angles of an Isosceles trapezold are congruent. Gven:…

A:

Q: %23 W Two sets of rails (railroad tracks are equally spaced) intersect but not at right angles.…

A:

Q: 15) Given: AE =CD;ZDBC = ZC;ZA=ZDBC Prove: Quadrilateral ABDE is a parallelogram.

A: Given: ∠DBC=∠C , ∠A=∠DBC , AE=CD To prove: ABDE is a parallelogram

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

A:

Q: Consider the following pentagon. Which of the following is false? B A u E V O A. BD = w + v AB = u –…

A: As mentioned in question : If  line goes to the direction the we will take positive (+ )sign and if…

Q: of the Solids ebtaind by-revolding 5 Find the velume of the Sotids abtaind by revolu.ing Yegion in…

A: In this question we have to calculate the volume obtained by the revolution of given two region…

Q: 9 Write a proof of Theorem 10-5, which states that if chords are equidistant from the center of a…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.