James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of triangle ABC Determine if James is correct or incorrect. Justity, your answ

Q: Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x -…

A: Given quadrilateral POST is an isosceles trapezoid with OS∥PT and ER is its median.

Q: Is the following statement always true, sometimes true, or never true? Justify your response. Given…

A: Here we describe the given statement problem.

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

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Q: A positive angle less than 4 π that is coterminal to π/4 is

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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: 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: What is the first sentence of an indirect proof of the statement shown? 2. AABC is equilateral. 4. a…

A: In indirect proof of statement, 1st step is to write negation of given statement and with all the…

Q: Generally when a diagonal is constructed in a quadrilateral during a proof, two triangles are proven…

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Q: Suppose that line segment BC is the base of isosceles triangle ABC. Find AB if the perimeter of…

A: BC¯ is the base of isosceles ∆ABC, perimeter P=36.4 and BC=14.6   Procedure used: Perimeter of a…

Q: From the information given, can you prove the two triangles congruent using the HL Theorem? ZB and…

A: For two right triangles ABC and DEF,∠B=∠E  [ Right angles ]AB≅DE    [ given ]BC≅EF    [ given ]

Q: If GHJ is an equilateral triangle, GH=5x-13, HJ=11x-61,  and GJ=7x-29, find x and the measure of…

A: Equilateral triangle GHJ can be drawn asGH=5x-13HJ=11x-61GJ=7x-29

Q: In isosceles triangle RST, line segment RS is congruent to line segment ST. If RS= 10x+4, RT=6x+2,…

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Q: Are these two triangles congruent? If so, state the rule which you used to determine congruence. SAA…

A: Calculate the given two triangles are congruent and state the rule which you used to determine…

Q: A 45-45-90 triangle whose legs measure 1, has a hypotenuse that measures . O True O False

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Q: In trapezoid ABCD, AB || DC and mZA = AD = 4, and BC = 90°. If AB = 7, 5, find the two possible…

A: First case: When DC>AB. Construction: BE is perpendicular to DC. Concept used: Pythagoras…

Q: If P is the orthocenter of ABC, AB = 13, BF = 9, and FC = 5.6, find the perimeter of AABC. E F C The…

A: Given: The triangle ABC with BF as altitude and AB=13,BF=9,FC=5.6 To find: The perimeter of triangle…

Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: In A ABC, mzA 100°, m B = 30°, and mz C = 50°. Which lists the sides from largest to smallest? %3D

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Q: perpendicular to AB, and in traingle XYZ, lines ZW is perpendicular to XY.      If AB = XY and CD =…

A: Given query is to find the correct option for the triangle.

Q: Which method listed below would not be used to prove that two triangles are congruent?

A: We know that when all three sets of corresponding angles are congruent then triangles can be similar…

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

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Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: On a set of parallel lines cut by a transversal, m<2 =(7x-5) and m<6 = (x + 25) . Which value of x…

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Q: If a quadrilateral has four right angles as well as two diagonals that are congruent, then the…

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Q: Suppose point Y is the bisector of segment XZ. If XY = 5.6 cm, what is the length of XZ? If needed…

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Q: For a quadrilateral to be a square, the diagonals must be con para llel grue nt perp endi cula con…

A: We can find the answer as below from the options

Q: The HL congruence theorem only works if the leg in question is the longest leg of the triangle. O…

A: Check the statement for true or false.

Q: 4. If AB = AD = y +5, BC = y, and CD =+ 3, find the perimeter of ABCD. %3D

A: 4. The figure with AB = AD = y+5, BC = y and CD = y2+3 is given by To evaluate : The perimeter of…

Q: Consider Quadrilateral ABCD inscribed in circle E. If m∠A = 120°, what is the m∠C

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Q: If DE = x + y, EC = 12, CK = 2x - y, and KD = 3x – 2 y, then %3D y = _ and the perimeter of ODECK =…

A: Here we have given a parallelogram.

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

A: Solution is given below:

Q: n a quadrilateral ABCD, AB=BD, BAD=70 degrees, BCD= 55 degrees and AD is parallel to BC. what is the…

A: This is a problem related to geometry.  Based on the formula and concepts for quadrilateral we will…

Q: If A is (6,1) and C is (2, -7) and AB is 1/3 of AC what is point B

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Q: In AUVW, UW is extended through point W to point X, (3x + 4)°, mZVWX = (8x – 12)°, and mZUVW %3D…

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Q: If a triangle has sides of length x, x+2, and x-4, what is the perimeter of the triangle in terms of…

A: Given information- We have given the length of sides of a triangle x, x+2, x-4 We have to find the…

Q: The perimeter of AABC (not shown) is 47. If AB = ВС х, АС 3D х + 1, and = x 5, find x, AB, AC, and…

A: We have to find: x, AB, AC, and BC Where perimeter of the triangle is 47 for AB=x, AC=x+1 and…

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

A: Solution

Q: A four sided figure that has sides which measure 10cm, 11cm, 8cm, and 9cm can never be a rectangle.…

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

A: We use properties of isosceles trapezoid

Q: Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA,…

A: Let's find.

Q: Can you conclude that the figures are congruent? Write a Justification. A

A: Given: AE=DE  AB=DC  Angle ABE= Angle DCE

Q: A,B, and Care midpoints of sides DF.DE,& FE respectively. If BC-11, AC=13, and AB=15, find the…

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Q: In trapezoid ABCD,  BC ⊥ AB and BC ⊥ CD.  If  DA = 20, AB = 5, and BC = 12,  find the perimeter of…

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Q: Indicate if it is true or false, justify. a) If a quadrilateral has a pair of congruent sides, then…

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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: ABCD is a quadrilateral with AB = x, CD = 2ỷ, and AC = 33 – ỷ. Express - BD and BC in terms of x and…

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Q: ssume ZA is opposite side a, ZB is opposite side b, and ZOC is opposite side c.

A: Explanation and solutions is given below....

Q: 3.1Find the vdune of the shoape fictured belaw, You triangle. wi ll need find the hcight of the

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Q: In Circle O, AOC is a diameter, ADB is a secant, and  BC is a tangent. If the measure of arc DC is 3…

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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…

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