Question
If WXYZ is a kite, find the length of diagonal XZ.
- 10
- 12
- 14
- 18
The correct answer is: 14
From the above figure,
Given : WY XZ
XO = 7
( angular bisector)
In XWO and ZWO
WO = WO ( Common side)
Thus by ASA congruency rule XWO ZWO
Thus, XO = OZ = 7
Thus, the length of diagonal XZ is 14.
Related Questions to study
What is the value of x if the perimeter of rectangle PQRS is 12 cm?
What is the value of x if the perimeter of rectangle PQRS is 12 cm?
ABCD is a parallelogram if ________.
ABCD is a parallelogram if ________.
If TLAV is a square, what is VC?
Therefore using the property of the square we find the value of VC as 4cm
If TLAV is a square, what is VC?
Therefore using the property of the square we find the value of VC as 4cm
What is the value of p if LATE is a square?
Using the property of square we found out that the value of p is 7
What is the value of p if LATE is a square?
Using the property of square we found out that the value of p is 7
In square REST, the measure of each side is ____________.
Therefore we find the value of each side of square is 19
In square REST, the measure of each side is ____________.
Therefore we find the value of each side of square is 19
The perimeter of the clock is ________.
Therefore we find the perimeter of the clock is 112 cm
The perimeter of the clock is ________.
Therefore we find the perimeter of the clock is 112 cm
In square EFGH, the value of p is ______.
Therefore using alternate interior angles property we find the value of p is 4
In square EFGH, the value of p is ______.
Therefore using alternate interior angles property we find the value of p is 4
In square FOWL, if WL = 6 cm, what is the length of side CO of square COAL?
Therefore we find that the length of side CO of square COAL is 12 cm
In square FOWL, if WL = 6 cm, what is the length of side CO of square COAL?
Therefore we find that the length of side CO of square COAL is 12 cm
In square EFGH, FG = 13 cm. Find the length of BP of square ABCD.
Therefore we used the property of square to find out that length of BP of square ABCD is 6.5 cm
In square EFGH, FG = 13 cm. Find the length of BP of square ABCD.
Therefore we used the property of square to find out that length of BP of square ABCD is 6.5 cm
The length of diagonal JL is ______.
Therefore we use the property of square to find the value of diagonal JL is 6
The length of diagonal JL is ______.
Therefore we use the property of square to find the value of diagonal JL is 6
The given polygon is called a ___________.
Therefore using the properties we determine that the quadrilateral is a square
The given polygon is called a ___________.
Therefore using the properties we determine that the quadrilateral is a square
The measure of ∠ADC is __________.
We used the sum of the angle is 180 property to find the angle ADC
The measure of ∠ADC is __________.
We used the sum of the angle is 180 property to find the angle ADC
The measure of is ______.
Using the properties of square we find that the ∠GHF is 45°
The measure of is ______.
Using the properties of square we find that the ∠GHF is 45°
If each side of the photo frame is 27 cm, then the perimeter of the frame is ______ cm.
Using the properties of square we find that the perimeter of the square photo frame is 108 cm
If each side of the photo frame is 27 cm, then the perimeter of the frame is ______ cm.
Using the properties of square we find that the perimeter of the square photo frame is 108 cm
If NX = 6 cm, the measure of each side of square ABCO is ________.
Using the properties of square we find that the sides of square ABCO are 12 cm
If NX = 6 cm, the measure of each side of square ABCO is ________.
Using the properties of square we find that the sides of square ABCO are 12 cm