Quadrilateral Family Worksheets - Definitions, Properties Chart, Family Tree And Venn Diagram Page 9
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12. ABCD is a rhombus. If the perimeter of
13. ABCD is a square. If mDBC = x
– 4x, find
20. ABCD is a square. AB = 5x + 2y,
ABCD = 68 and BD = 16, find AC.
x.
AD = 3x – y, and BC = 11. Find x and y.
B
C
A
B
B
A
A
D
D
C
D
C
Use rhombus ABCD for problems 14-19
27. Given rhombus ABCD, AB = 5x + y – 1, BC =
B
A
18, CD = 8x – 2y + 2. Find x and y.
14. If mBAF = 28, mACD = ______.
15. If mAFB = 16x + 6, x = _______.
F
C
B
16. If mACD = 34, mABC = _______.
D
C
17. If mBFC = 120 – 4x, x = ______.
E
18. If mBAC = 4x + 6 and mACD = 12x – 18, x = ______.
A
D
2
19. If mDCB = x
– 6 and mDAC = 5x + 9, x = ______
2
22. ABCD is a rectangle. Find the length of
23. ABCD is a rectangle. Find each diagonal if
28. Given square PQRS, SR = x
– 2x, QR = 4x
3c
each diagonal if AC = 2(x – 3) and BD = x + 5.
– 5. Find x, SR, and QR.
AC
and BD = 4 – c.
9
Q
P
Given rectangle QRST
Q
R
T
________24. If RX
QT
, find mTXS.
X
________25. If mRQS = 30° and QS = 13, find SR.
S
S
R
T
________26. If mQST = 45° and QT = 6.2, find QR.
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