OPENING PRAYERLord, true source of light and wisdom, give us a keen sense of

understanding, a retentive memory, and the capacity to grasp things

correctly. Grant us the grace to be accurate in

our expositions and the skill to express ourselves with

thoroughness and clarity. Be with us at the start of our study, guide its progress and bring it to its

completion. Grant this through Christ our Lord, Amen.

MINUTE OF SILENCE

TANGRAM a dissection puzzle consisting of 7 flat

puzzle pieces (tans) which are put together

to form shapes.

BIG TANGRAM CHALLENGE

Square Rho

mbusRectang

le

Square

Rho

mbus

Rectangle

SPECIAL PARALLELOGRAMS

ASN1. A rhombus is a rectangle2. A parallelogram is a rectangle3. A square is a rectangle4. A rhombus is a parallelogram

RECTANGLE PROBE7 UNITS

3 UNITS

Draw two more rectangles and verify if your conjecture is always true.

The diagonals of a rectangle are ________________CONGRUENT

Properties of a Rectangle• Opposite sides are congruent• Opposite sides are parallel• Each diagonal bisects the rectangle into two congruent triangles• Opposite angles are congruent• Consecutive angles are supplementary• All angles are right• Diagonals bisect each other and are congruent

EXAMPLES

Find ET if RS = 13 units

Find the measures of angle 1 and 2

PAIR ACTIVITYFind the value of the unknown variable.

Assuming all figures below are rectangles.

Properties of a Rhombus• Opposite sides are congruent• Opposite sides are parallel• Each diagonal bisects the rhombus into two congruent triangles• Opposite angles are congruent• Consecutive angles are supplementary• Diagonals bisect each other and are perpendicular.• Each diagonal bisect a pair of opposite angles.

EXAMPLES

Find the perimeter of

RHOM

Given rhombus ROAD If m <ROA = 180⁰; finda. m< ROBb. m< ORBc. m< ORD

CRITICAL THINKINGA square is a parallelogram, rectangle and rhombus. Use what you know about the

properties of these three quadrilaterals to complete this statement on diagonals properties

of a square:

The diagonals of a square are __________________,

_____________________ and ___________________________

CONGRUENTPERPENDICULAR

BISECT A PAIR OF OPPOSITE ANGLES

Properties of a Square• All sides are congruent.• Opposite sides are parallel.• Each diagonal separates the rhombus into two congruent triangles.• Opposite angles are congruent.• Consecutive angles are supplementary.• Diagonals bisect each other and are perpendicular.• Each diagonal bisects a pair of opposite angles.

MORE EXAMPLES

ASN1. A rectangle is a parallelogram2. A rectangle is a rhombus3. A parallelogram is a rhombus4. A square is a rectangle5. For any rectangle ABCD,

- - --

BA BDAC BCABBDAC