LESSON6- POLYGONS AND QUADRILATERALS

LEAD -IN

Match pictures with words

Find words you know.


READ ME

n-gon - n- sides polygon

 

≅ polygons - congruent polygons

 

∼ polygons - similar  polygons

FALSE FRIENDS

poligon (wojskowy) - to experimental range or firing ground

CHOOSE THE PROPER WORD

A diagonal of polygon is a segment joining two CONSECUTIVE/NONCONSECUTIVE verices.

 

When all sides of a polygon are equal, the polygon is said to be EQUILTERAL/REGULAR.

 

If two sides of a quadrilateral are both equal and parallel, then that quadrilateral is a PARALLELOGRAM/TRAPEZIUM.

 

In a CONVEX/CONCAVE polygon if any side is lying in the edge of a half -plane, then the other sides all lie in one of the half-planes.

FILL IN THE GAPS

In a   ............................... polygon if points A and B both lie in the interior, the segment AB doesn't intersect the polygon.

 

A rhombus is a parallelogram with two ........................... sides equal.

 

The diagonals of a parallelogram are  ............................. unless the parallelogram is a rectangle.

 

A regular polygon is both ....................... and ................................ .

LABEL TRUE OR FALSE

A pentagon can be equiangular without being equilateral.(T/F)

 

Every rectangle is a rhombus.(T/F)

 

A quadrilateral is cyclic if and only if the sums of opposite angles are equal.(T/F)

 

If the diagonals of a quadrilateral bisects each other and are perpendicular to each other, that quadrilateral is a rhombus. (T/F)

 

The bisectors of the angles of circumscribed polygon pass through the centre of a circle. (T/F)

Select the phrase that the best completes the sentence:

must be, cannot be, can be but needn't be

 

A parallelogram inscribed in a circle ............................. a rectangle.

 

The apothem of a regular polygon .............................. longer then the radius.

 

two polygons which have ( for some pairing of vertices) corresponding sides in proportion ................. similar.

 

Two rhombuses .................................similar if one angle of one is equal to some angle in the other.

 

Any two regular polygons with the same number of sides ............................. congruent.

Classifying Quadrilaterals

Classifying quadrilaterals by colouring.

TIME FOR PROBLEMS

Exercise1

 

 

 

 

 

 

Listen and solve mathematical problems.


Exercise2

The area of this rectangle is ……… The perimeter of this figure is ………..


Exercise3

Each side of a square classroom is 8 m long. The school wants to replace the carpet in the classroom with new carpet that costs 36 zł per square metres. How much will the new carpet cost?

Exercise4

 

 

Marek likes to fly a kite. He wants to construct a kite in this shape. How many square metres of material will he need to make this kite?


Materials

Worksheet1.pdf
Adobe Acrobat Document 183.8 KB
Worksheet2vocabulary.pdf
Adobe Acrobat Document 35.8 KB
Worksheet3Usefulverbs.pdf
Adobe Acrobat Document 91.9 KB
listening.pdf
Adobe Acrobat Document 237.4 KB
ExercisesAreas.pdf
Adobe Acrobat Document 250.9 KB