Given: Equilateral AABC with each side of length s Prove: AABC V3 4

Q: If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch…

A: The question mentions that △ABC≅△DEF. The measure of angles of two triangles is given as,…

Q: PORS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 cm R P 4 c

A: Given that:

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint of AT, and G is the…

A: Geometry

Q: Given AABC, a second triangle (AXTN) is constructed so that ZX = LA and ZN = ZC. a) Is ZT congruent…

A: ∠X≅∠A ∠N≅∠C

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW = ACDZ.…

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z  It is given that  AC is parallel to W Z…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: if ABCD is a rhombus, AC=4, and ADC is an equilateral triangle, what is the area of rhombus?

A: Drawing the figure as per the question, As we are given that AC=4 and ADC is an equilateral…

Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

A:

Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the perimeter of the…

A: Step: 1 Equilateral Triangle:- A triangle, in which every sides all three sides have the same…

Q: 12. DE is a segment bisector. If AB = 13 cm, what is the length of BC? %3D 13 C A B.

A: Segment bisector divide the segment into two equal half.

Q: The interior angle of a rhombus is 64o and the shorter diagonal is 24 cm. Compute the area of the…

A:

Q: Given: Trapezoid ABCD with ADu BC Find the perimeter.

A:

Q: Given: AABC with perimeter 40 AB = 10 BC = x + 6 АС %3D 2х — 3 Whether AABC is scalene, isosceles,…

A:

Q: A rhombus has sides that measure 4ft. each. If its smaller angle measures 40°,how long would be the…

A: For a rhombus, the diagonals are: The angle bisectors. Perpendicular to each other. Bisect each…

Q: A quadrilateral that is equiangular, but is not equilateral, must be a - (Give the strongest…

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Q: An new piece of support material needs to be installed in the triangular region on the house shown…

A:

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

A:

Q: 7. Find mZ. V W (2x + 29)°, (10x – 27)° Y

A: Property of parallelogram:   Sum of two adjacent angles in parallelogram is 180° Opposite angles in…

Q: a. If the congruent trapezoids shown are slid together, what special quadrilateral is formed? b. Use…

A: (a) Consider the given figure:   Here, CD=EF=b1AB=GH=b2Height=h……1   Also, AB∥CDEF∥GH……2

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

A:

Q: In concave quadrilateral ABCD, the angle at A measures 40°. AABD is isosceles, BĆ bisects ZABD, and…

A: Given: The value of Angle A measures 40°. The side BC bisect ∠ABD and DC bisect ∠ADB. The triangle…

Q: If JKLM is a rhombus, MK = 30, NL = 13, and ZMKL = 41°, find each measure. %3D %3D K NK = JL = angle…

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Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

A:

Q: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: We have a quadrilateral LIKE in the shape of a kite. LI¯≅IK  and LE¯≅KE It looks like: Part(a) We…

Q: In trapezoid HJKL HJ and KL are bases. If HJ = 32 and KL =15 and the height is 20, what is the area…

A:

Q: 20. If the equilateral triangles shown have sides of 2 cm and 3 cm respectively, then the perimeter…

A: The perimeter is the length of the outline of a shape.

Q: In the figure shown, MN PQ is a rhombus. The length of MP is 10 cm and the length of NQ is 24 cm.…

A:

Q: Given quadrilateral ABCD is a rhombus and MZABD= 32°, find the measure of each numbered angle below.…

A: since the diagonals of a rhombus intersect at right    angles ∠2=90°…

Q: P V R Q

A:

Q: Given the rectangular Fie. YLind

A: A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid…

Q: Are the triangles congruent by the HL Theorem? A

A:

Q: Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

A:

Q: Give the most precise classification for the figure below. A. Quadrilateral  B. Rhombus C. Kite…

A: We are given the following figure.                           Quadrilateral is more general statement…

Q: In isosceles AABC, ZB is obtuse and CH is an altitude as shown. Find the perimeter of AABC if CH =…

A: Given: ∠HBC = ∠BAC +∠BCH Let ∠BAC =x and ∠BCH =y Since, ∆ABC is isosceles, therefore ∠BAC = ∠BCA ⇒…

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: Given regular octagon RSTUVWXY with each side of length 4, find the length of diagonal RU. R Y W U V

A: Given, Side of regular hexagon is 4,

Q: A. C D V

A:

Q: g) X = y = 8 ém 6 cm perimeter = %3D

A: 1) All the side of rhombus are equal.Therefore x is eaqual to y 2) Its diagonal intersect at 90…

Q: If PQRS is a rectangle, ST= 12, and MZPRS = 23°, find each measure. %3D

A:

Q: Given triangle ABC whose sides are AB = 15 in, AC = 25 in and BC = 30 in. From a point of side AB, a…

A: The solution of the problem is given in the next step.

Q: V W T U

A:

Q: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following

Q: Given a rhombus with a side length of 13 cm and a diagonal of Io cm and an area of 120 cm? ; find…

A:

Q: Why are these triangles congruent?

A: The triangles XYZ and XZW are given, we have to show that they are congruent.

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

A:

Q: 1. Given the following criteria, construct a triangle on the back of this page using the grids, then…

A: (a) Draw a triangle ABC AB=5  , BC = 7  and CA = 10 units All the sides are not same . They are…

Q: GIVEN: Quadrilateral ABCD with AC 1 BD [See Figure 8.24(a).]; AC d, and BD = d2. PROVE: AABCD =…

A: Given that, in quadrilateral ABCD, AC is perpendicular to BD. AC = d_1  BD = d_2 Let AE = h Then, CE…