6.4Rhombi, Squares, & Rectangles

Monday, February 4, 13

Monday, February 4, 13

Any figure that is “below” another in the hierarchy has all the properties of the ones above it.

Monday, February 4, 13

Parallelogram: A quadrilateral with two pairs of parallel sides

Rhombus: A quadrilateral with four congruent sides

Rectangle: A quadrilateral with four 90-degree angles (vertices, corners)

Square: A quadrilateral with four congruent sides and four 90-degree corners

Monday, February 4, 13

Is every rhombus a square?

Monday, February 4, 13

Is every square a rectangle?

Monday, February 4, 13

Rhombus Diagonal Theorem (Pt. 1)

If a parallelogram is a rhombus, then its diagonals are perpendicular.

Monday, February 4, 13

Rhombus Diagonal Theorem (Pt. 2)

If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles.

Monday, February 4, 13

Theorem 6.15

If a parallelogram is a rectangle, then its diagonals are congruent.

Monday, February 4, 13

Find the measures of the numbered angles in the rhombus.

Monday, February 4, 13

LMNP is a rectangle. Find the value of x and the length of each

diagonal.

Monday, February 4, 13

Find the value of the variables. Then find the side lengths.

Monday, February 4, 13

List the quadrilaterals that have the given property.

Monday, February 4, 13