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MIDLINE THEOREM, TRAPEZOIDS and KITES
MIDLINE THEOREM, TRAPEZOIDS and KITES
CONTENT/CORE CONTENT
Midline Theorem – The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long.
Trapezoid – a quadrilateral with one pair of parallel sides. Where the median of a trapezoid is parallel to each base and its length is one-half the sum of the lengths of the bases.
Isosceles Trapezoid – a trapezoid with a pair of legs that are congruent. The base angles are congruent. Opposite angles are supplementary. Diagonals are congruent.
Kite – a quadrilateral with two pairs of adjacent sides that are congruent, a rhombus is a special kind of kite. The perpendicular bisector of at least one is the other diagonal. The area is half the product of the lengths of its diagonals.
Introduction
In this lesson, we shall focus on other forms of quadrilaterals, but before we start the discussion, we will talk about the proof of the triangle midline theorem. It will be essential in discussing the median of a trapezoid and its proof. And then, we will look at the proofs of different special quadrilaterals and their properties.
Midline Theorem – The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long.
Definition of Trapezoid – a quadrilateral with one pair of parallel sides.
Midsegment Theorem of Trapezoid – The median of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.
Definition of Isosceles Trapezoid – a trapezoid with opposite sides that are congruent.
Properties of Isosceles Trapezoid
The base angles of an isosceles trapezoid are congruent.
Opposite angles of an isosceles trapezoid are supplementary.
Diagonals of an isosceles trapezoid are congruent.
Definition of Kite – a quadrilateral with two pairs of adjacent sides that are congruent, a rhombus is a special kind of kite.
Properties of Kite
In a kite, the perpendicular bisector of at least one is the other diagonal.
The area of a kite is half the product of the lengths of its diagonals.
ASSIMILATION
Note: I made additional changes for the assimilation, Hope this helps
ASSESSMENT
REFLECTION
The learner communicates the explanation of their personal assessment as indicated in the Learner’s Assessment Card.
The learner, in their notebook, will write their personal insights about the lesson using the prompts below.
I understand that ___________________.
I realize that ________________________.
I need to learn more about __________.
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