Let: GO=2x, LD=x+10, GD=3y, LO=y+4 where all lengths are in cm.  18) What is the measure of LD? a)10cm  b)20cm  c)26cm  d)22 cm 19) What is the measure of GD? a) 4cm  b)6cm  c)8cm  d)10cm 20) What is the perimeter of parallelogram GOLD? a) 12cm  b)16cm  c)28cm  d)32cm

Q: 10. Find the area and perimeter of the quadrilateral below. 10 in 16 in Perimeter %3D inArea %D in?

A: The given quadrilateral has all 4 sides equal whose lengths are: 10 inches. Length of one diagonal…

Q: In AXYZ, ZX = 34°, and y = 28.0 cm, determine the length of side x? %3D Y Z. X y

A: Tan(∠X)=YZXZ=xy

Q: Given the middle line as a bisector, calculate the perimeter. 2.5 cm 5 cm 6 cm O 5.20 O 5.25 O 5.10…

A:

Q: ABCD is an isosceles trapezoid, E and F is the midpoint of line AB and CD respectively. If BC = 14cm…

A:

Q: Find the perimeter of a square with a diagonal 102. a) O 10/2 b) O 10 c) O 20 d) O 40/2 e) O 40…

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: ABCD is a quadrilateral such that AB =b.AD = d, AC =mb+pd. Show that the area of the quadrilateral…

A:

Q: T. 109 R.

A: Properties of isosceles trapezoids  The base angles are equal in measure . ∴∠R=∠U The opposite…

Q: Suppose RS = 10 in the rhombus below. What is the perimeter of PQRS?

A: The given rhombus is

Q: Show that quadrilateral RSTV is an isosceles trapezoid. y v (a + d, e) T (c - d, e) R (a, b) S (c,…

A: We have to show that quadrilateral RSTV is an isosceles trapezoid. A trapezoid is a quadrilateral…

Q: In rhombus ABCD, AD = 20, AM = 12, and DM = 16. What is the perimeter of rhombus ABCD? %3D A \M D C

A:

Q: 1. What is the perimeter of a rhombus ABCD given AB = 2 b) la c) 48 d ) (44 Tind t 2.

A: Explanation of the answer is as follows

Q: In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter…

A: Diagram according to the Question Diagonals of Rhombus are Perpendicular Bisecture ( Angle 90°)All…

Q: Calculate the area of a rhombus with sides measures 10 inches and a longer diagonal measuring 16…

A: 96 in^2

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, LB = LF, BC = FG, and LC = ZG? b) ZA =…

A: To check the quadrilaterals are congruent.

Q: 10. In isosceles AABC shown below, AC is congruent to BC as shown. Side AC has been extended through…

A:

Q: If A ABC A DEF, what is the length of DF ?

A: Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are…

Q: 6. Classify the following quadrilaterals (use the most specific name). a) b) c) 94° noltemmoini…

A: Given,  The quadrilaterals in (a), (b) and (c).  We have to classify the quadrilaterals

Q: 2. In the diagram shown of AACT,D is the midpoint of AC,0 is the midpoint of AT, and G is the…

A: We will apply foltlowing theorem in this problem  If in any triangle, the line joining the mid…

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: In cirde P, if mQR = 110', mRS = 94', and M2QRT = 27, find each measure. %3D %3D R a) MZQTR = 55 d)…

A: Here we have,

Q: 4. Find the perimeter and area of a rhombus that has a side length of 10 cm and one diagonal with…

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: It is possible to find the perimeter of any given quadrilateral on the coordinate plane. O True O…

A:

Q: ABCD is a quadrilateral with BE = ED. B D. 1. Given that EC = 8.4 cm, what is the %3D E.

A: Definition:   The diagonals bisect each other. One pair of opposite sides is parallel and equal in…

Q: In trapezoid ABCD, AB CD and ZBAD insert diagonals AC and BD : AAMD is isosceles.

A: Given :- In trapezium ABCD, AB≅CD and ∠BAD≅∠CDA  Prove :- ∆AMD is isosceles ∆

Q: Show that the volume of a parallelepiped with sides A, B and C is given by A · (B × C)

A:

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: According to guidelines we can solve only first question.Upload remaining again.

Q: Give the definition of a rhombus and prove that the area of a rhombus is half the product of the…

A: A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus,…

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: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mLW XU = 60…

A: Solution: The objective is to find the required angle

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: Given: Area of the factory is equal to the area of the lawn. The dimension area of the place where…

Q: 2. What is the perimeter of a rhombus with diagonals of 12 and 16 cm.?

A:

Q: 16. In a rhombus ABCD, AC = 24 cm and BD 10 cm. Calculate the perimeter of the rhombus.

A:

Q: Given Square ABCD and EDC = ZECD, prove AABE is equilateral.

A: So, ABCD is a square,  angle EDC and ECD are equal, (let them be x), i.e. E is exactly lies on the…

Q: A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a…

A:

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

A:

Q: Consider a rectangle of sides ? and ? with fixed perimeter of 40 units. Find the maximum and minimum…

A: Consider a rectangle of sides ? and ? with fixed perimeter of 40 units. Find the maximum and minimum…

Q: Prove that the formula for the area of an equilateral triang le is so Areas 3 L? 4 %3D

A:

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: Given A ABC, let M be the midpoint of segment AB and let N be the midpoint of segment BC. Then 2…

A:

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: Use Theorem 11.4.1 to show that the area of an equilateral triangle with sides of length s is given…

A: Consider the given:  Let the length of side of Equilateral triangle is “s”.

Q: 7. In AABC shown below, L is the midpoint of BC. Mis the midpoint of AB, and N is th- AC H MN= 10 o.…

A: Please rate

Q: Consider the quadrilateral with vertices at M(0, 0), N(a, 0), P(a, b), and Q(0, b). Explain why MNPQ…

A: Given figure:

Q: In quadrilaterals ABCD and EFGH, AB || DC, EF || HG, ZA = LE, and LB = LF. a) Are quadrilaterals…

A: Given that, (i) In quadrilaterals ABCD and EFGH, AB is parallel to DC and EF is parallel to HG. (ii)…

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

A:

Q: Given the middle line as a bisector, calculate the perimeter. [28 1 2.5 ст 5 ст 6 cm O 5.20 5.25 O…

A:

Q: Calculate the perimeter of the rhombus. [27] 2p + 9 /Зр- 6 MathBits.com О 156 120 O 144 О 108 O 168…

A:

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

A: Given : CD = 60 inches <FCE = 32  EF is the perpendicular bisector of CD.   To find FD