Download 6.4 Rectangles

6.4 Rectangles

Characteristics of a rectangle:






Both sets of opp. Sides are
congruent and parallel
Both sets opp. angles are
congruent
Diagonals bisect each other
Diagonals split it into 2
congruent triangles
Consecutive angles are
supplementary
If one angle is a right angle
then all 4 are right angles

In a rectangle the diagonals
are congruent.

If diagonals of a parallelogram
are congruent, then it is a
rectangle.
Quadrilateral EFGH is a rectangle. If GH = 6 feet
and FH = 15 feet, find GJ.
Quadrilateral RSTU is a rectangle. If mRTU =
8x + 4 and mSUR = 3x – 2, find x.
Quadrilateral EFGH is a rectangle. If mFGE =
6x – 5 and mHFE = 4x – 5, find x.
Quadrilateral JKLM has vertices J(–2, 3),
K(1, 4), L(3, –2), and M(0, –3). Determine
whether JKLM is a rectangle using the
Distance Formula.