Download - 006 Special Parallelograms.pptx [Repaired]
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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.
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MINUTE OF SILENCE
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TANGRAM a dissection puzzle consisting of 7 flat
puzzle pieces (tans) which are put together
to form shapes.
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BIG TANGRAM CHALLENGE
Square Rho
mbusRectang
le
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Square
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Rho
mbus
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Rectangle
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SPECIAL PARALLELOGRAMS
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ASN1. A rhombus is a rectangle2. A parallelogram is a rectangle3. A square is a rectangle4. A rhombus is a parallelogram
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RECTANGLE PROBE7 UNITS
3 UNITS
Draw two more rectangles and verify if your conjecture is always true.
The diagonals of a rectangle are ________________CONGRUENT
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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
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EXAMPLES
Find ET if RS = 13 units
Find the measures of angle 1 and 2
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PAIR ACTIVITYFind the value of the unknown variable.
Assuming all figures below are rectangles.
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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.
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EXAMPLES
Find the perimeter of
RHOM
Given rhombus ROAD If m <ROA = 180⁰; finda. m< ROBb. m< ORBc. m< ORD
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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
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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.
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MORE EXAMPLES
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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