Download Proving a Rhombus and Square-Blank Notes

Name:__________________________________________
Date:_________________
Geometry
Ms. Litwin
Rhombuses and Squares
1. The vertices of Quadrilateral RICH are
R (0, 0), I (4, 3), C (7, -1) and H (3, -4).
Prove that quadrilateral RICH is a Rhombus.
2. Using the results in part 1, show that rhombus RICH
is a Square.
3. Name the quadrilaterals that have
congruent diagonals.
4. Name the quadrilaterals whose diagonals
bisect its opposite angles.
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5. Which statement does not prove a rectangle?
(1)
(2)
(3)
(4)
A parallelogram with one right angle.
All right angles.
A parallelogram with congruent diagonals.
A parallelogram with bisecting diagonals.
7. Which of the following statements is false:
(1) A square is a rhombus
(2) A rhombus is a square
(3) A square is a rectangle
(4) A rhombus is a parallelogram
9. What is the slope of a line  to 3 y  2 x  15 ?
6. If the diagonals of a parallelogram are
perpendicular but not congruent, then the
parallelogram is a
(1) rhombus
(2) square
(3) rectangle
(4) trapezoid
8. The opposite angles of an isosceles
trapezoid are:
(1) Acute
(2) Congruent
(3) Supplementary
(4) Complementary
10. What is the slope of a line parallel
to 3 x  5 y  20
11. Prove that quadrilateral METS is a square given the
vertices M (-2, 2 ), E (4, 2 ), T ( 4, 8 ) and S (-2, 8 ).
12. Prove that A(-3, 2), B(-2, 6), C(2, 7) and D(1, 3)
is a rhombus.