Question

QUESTION 1

Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x.
     

		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.
     

		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.
     
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.
     

		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.
     

		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.
     

		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.

     

		16
		17
		68
		289

Answer 1