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Thursday, March 6 Chapter13-6 Similar and Congruent Figures

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Thursday , March 6. Chapter13-6 Similar and Congruent Figures. Similar and Congruent Figures. Objective: To understand similar and congruent figures. . Similar and Congruent Figures. Congruent Figures - Figures that have the same size and shape. . Similar and Congruent Figures. - PowerPoint PPT Presentation

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Tuesday, Oct 30

Thursday, March 6 Chapter13-6

Similar and Congruent Figures

Similar and Congruent FiguresObjective: To understand similar and congruent figures.

Similar and Congruent FiguresCongruent Figures - Figures that have the same size and shape.

Similar and Congruent FiguresCongruent Figures - Figures that have the same size and shape.

Similar Figures - Figures that have the same shape but not same size.

Similar and Congruent FiguresIf one shape can become another using rotation.

Similar and Congruent Figuresreflection

Similar and Congruent FiguresOr translation, then the two shapes are called Congruent:

Similar and Congruent FiguresThe parts of congruent figures that match are called corresponding parts.

Similar and Congruent FiguresSometimes it can be hard to see if two shapes are Similar, because you may need to turn, flip or slide one shape as well as resizing it.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are congruent.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are congruent.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are neither.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are similar.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are congruent.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are similar.

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

Similar and Congruent FiguresAre these shapes similar, congruent or neither?

These shapes are similar.

Similar and Congruent FiguresHow many triangles similar to this equilateral triangle, , is in the diagram below?

Similar and Congruent FiguresHow many triangles similar to this equilateral triangle, , is in the diagram below?

27

Similar and Congruent FiguresThe following triangles are congruent. What side of ABC corresponds to side YZ? Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. What side of ABC corresponds to side YZ? AC Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. What is the measure of AC?

Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. What is the measure of AC? 5 ft

Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. Name the side of XYZ that corresponds to side AB? Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. Name the side of XYZ that corresponds to side AB? YX Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. What is the perimeter of ABC?

Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are congruent. What is the perimeter of ABC? 13ft

Y A

5ft 4ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are similar. What is the measure of AB?

Y A

8ft 6ft 4 ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are similar. What is the measure of AB? 3 ft

Y A

8ft 6ft 4 ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are similar. What is the measure of BC?

Y A

8ft 6ft 4 ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are similar. What is the measure of BC? 2 ft

Y A

8ft 6ft 4 ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are similar. What is the perimeter of A BC?

Y A

8ft 6ft 4 ft

Z 4 ft X C B

Similar and Congruent FiguresThe following triangles are similar. What is the perimeter of A BC? 9ft

Y A

8ft 6ft 4 ft

Z 4 ft X C B

Similar and Congruent FiguresThe following rectangles are similar. What is the perimeter of rectangle B? A 5 cm B10 cm 2 cm

Similar and Congruent FiguresThe following rectangles are similar. What is the perimeter of rectangle B? 6 cm A 5 cm B10 cm 2 cm

Similar and Congruent FiguresThe two quadrilaterals are similar. What is the value of x?

Similar and Congruent FiguresThe two quadrilaterals are similar. What is the value of x? ; x = 6

12 8 9 = x

Similar and Congruent FiguresThe two trapezoids are similar. What is the value of x?

Similar and Congruent FiguresThe two trapezoids are similar. What is the value of x? ; 2.5

16 10 4 = x

Similar and Congruent FiguresThe two triangles are similar. What is the length of PQ?

Similar and Congruent FiguresThe two triangles are similar. What is the length of PQ? ; 10.5

12 18 7 = x

Similar and Congruent FiguresA Tessellation (or Tiling) is when you cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.

Similar and Congruent FiguresA regular tessellation is a pattern made by repeating a regular polygon.

Similar and Congruent FiguresA vertex is just a "corner point".

Similar and Congruent FiguresThree hexagons meet at this vertex,and a hexagon has 6 sides. So this is called a "6.6.6" tessellation

Similar and Congruent FiguresA semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!

Similar and Congruent FiguresIs a soccer ball a regular or semi-regular tessellation?

Similar and Congruent FiguresIs a soccer ball a regular or semi-regular tessellation?

Semi-regular,It is comprised of regular pentagons and hexagons

54

Similar and Congruent FiguresThere are also "demiregular" tessellations.

Similar and Congruent FiguresHow many shapes are in this tessellations?

Similar and Congruent FiguresHow many shapes are in this tessellations?

3 - square, triangle and hexagon.

Similar and Congruent FiguresAgenda Notes

Homework Practice Skills 13-6Due Friday, March 7

Chapter 13 TestMonday, March 10