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QUESTION 1 Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x +...

QUESTION 1

Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x.
  image of square WXZY with diagonals XY and WZ intersecting at point T   

15

15

18.75

7.5

2 points   

QUESTION 2

Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three.

rhombus

square

rectangle

rhombus, square and rectangle

2 points   

QUESTION 3

In rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM.
  image of rectangle JKLM with diagonals JL and KM intersecting at point N   

6.5 feet

5 feet

12 feet

13 feet

2 points   

QUESTION 4

Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.

5

8

2 points   

QUESTION 5

Given: , , . Prove: WXYZ is a rhombus.
  Imported Asset   
Complete the proof below by choosing the reason for line number 3.

Reason

Statement
1. , ,

Given

2. WXYZ is a parallelogram

Both pairs of opposite sides are parallel.

3. WXYZ is a rhombus

If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus.

If one pair of opposite sides in a parallelogram are congruent, then the parallelogram is a rhombus.

If one pair of consecutive sides of a parallelogram are congruent, the parallelogram is a rhombus.

If the diagonals of a parallelogram are congruent, then the parallelogram is a rhombus.

2 points   

QUESTION 6

Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If angle KNJ equals 8x + 6, find the value of x.
  image of rhombus JKLM with diagonals JL and KM intersecting at point N   

11.75

21.75

10.5

12

2 points   

QUESTION 7

The sides of square ABCD are extended by the sides of equal length to form square MWTH. If MA = 6 and the area of ABCD is 144 cm2, find the area of MWTH.
  image of square ABCD with side AB extend to point W, side BC extended to point T, side CD extended to point T and side DA extended to point M to form square WTHM   

360 cm2

180 cm2

129600 cm2

288 cm2

2 points   

QUESTION 8

Find the area of the rhombus if EL = 6.0 cm and KE = 8.5 cm.
  image of rhombus JKLM with diagonals JL and KM intersecting at point E   

25.5 cm2

45 cm2

102 cm2

204 cm2

2 points   

QUESTION 9

Find the area of square QRST with the following vertices Q(-2, 3), R(1, 0), S(4, 3) and T(1, 6).

9

18

12

2 points   

QUESTION 10

If the area of a square is 1444 ft2, find the perimeter.

152 ft

288 ft

361 ft

304 ft

2 points   

QUESTION 11

Find the perimeter of the square. Round the answer to the nearest whole number.

  rectangle with vertices at negative 2 comma three, 2 comma 4, 3 comma zero, and negative 1 comma negative 1.   

16

17

68

289
math   geometry   
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Homework Answers

Answer #1

니21 = 30 n→ JKLM us all-nm 了k = 12 KM =タ are equae AC=BD A L43 Diao

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