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8. if de = 16x - 3, ef = 9x + 11, and df = 52, find hg. directions: if …

Question

  1. if de = 16x - 3, ef = 9x + 11, and df = 52, find hg.

directions: if each quadrilateral below is a square, find the missing measures.
9.
vu =
su =
tv =
sw =
10.
om =
pn =
on =
mn =
*ln = 46
11.
m∠efg =
m∠gdh =
m∠feg =
m∠dhg =

  1. solve for x.
  2. which quadrilaterals always have

diagonals that are congruent?
□ parallelograms
□ rectangles
□ rhombi
□ squares

  1. which quadrilaterals always have

consecutive angles that are
supplementary?
□ parallelograms
□ rectangles
□ rhombi
□ squares

  1. which quadrilaterals always have

diagonals that are perpendicular?
□ parallelograms
□ rectangles
□ rhombi
□ squares

  1. which quadrilaterals always have

diagonals that bisect each other?
□ parallelograms
□ rectangles
□ rhombi
□ squares

Explanation:

Answer:

  1. $VU = 15$, $SU = 15\sqrt{2}$, $TV = 15\sqrt{2}$, $SW = \frac{15\sqrt{2}}{2}$
  2. $OM = 46$, $PN = 23$, $ON = 23\sqrt{2}$, $MN = 23\sqrt{2}$
  3. $m\angle EFG = 90^\circ$, $m\angle GDH = 45^\circ$, $m\angle FEG = 45^\circ$, $m\angle DHG = 90^\circ$
  4. $x = 11$
  5. Rectangles, Squares
  6. Parallelograms, Rectangles, Rhombi, Squares
  7. Rhombi, Squares
  8. Parallelograms, Rectangles, Rhombi, Squares