Chapter13-6 Similar and Congruent Figures 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 Congruent Figures - Figures that have the same size and shape. Similar Figures - Figures that have the same shape but not same size.
Similar and Congruent Figures If one shape can become another using rotation…….
Similar and Congruent Figures reflection……
Similar and Congruent Figures Or translation, then the two shapes are called Congruent:
Similar and Congruent Figures The parts of congruent figures that “match” are called corresponding parts.
Similar and Congruent Figures Sometimes 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 Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are congruent.
Similar and Congruent Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are congruent.
Similar and Congruent Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are neither.
Similar and Congruent Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are similar.
Similar and Congruent Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are congruent.
Similar and Congruent Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are similar.
Similar and Congruent Figures Are these shapes similar, congruent or neither?
Similar and Congruent Figures Are these shapes similar, congruent or neither? These shapes are similar.
Similar and Congruent Figures How many triangles similar to this equilateral triangle, , is in the diagram below?
Similar and Congruent Figures How many triangles similar to this equilateral triangle, , is in the diagram below? 27
Similar and Congruent Figures The 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 Figures The 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 Figures The following triangles are congruent. What is the measure of AC? Y A 5ft 4ft Z 4 ft X C B
Similar and Congruent Figures The 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 Figures The 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 Figures The 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 Figures The following triangles are congruent. What is the perimeter of ABC? Y A 5ft 4ft Z 4 ft X C B
Similar and Congruent Figures The following triangles are congruent. What is the perimeter of ABC? 13ft Y A 5ft 4ft Z 4 ft X C B
Similar and Congruent Figures The 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 Figures The 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 Figures The 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 Figures The 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 Figures The 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 Figures The 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 Figures The following rectangles are similar. What is the perimeter of rectangle B? A 5 cm B 10 cm 2 cm
Similar and Congruent Figures The following rectangles are similar. What is the perimeter of rectangle B? 6 cm A 5 cm B 10 cm 2 cm
Similar and Congruent Figures The two quadrilaterals are similar. What is the value of x?
Similar and Congruent Figures The two quadrilaterals are similar. What is the value of x? ; x = 6 12 8 9 = x
Similar and Congruent Figures The two trapezoids are similar. What is the value of x?
Similar and Congruent Figures The two trapezoids are similar. What is the value of x? ; 2.5 16 10 4 = x
Similar and Congruent Figures The two triangles are similar. What is the length of PQ?
Similar and Congruent Figures The two triangles are similar. What is the length of PQ? ; 10.5 12 18 7 = x
Similar and Congruent Figures A 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 Figures A regular tessellation is a pattern made by repeating a regular polygon.
Similar and Congruent Figures A vertex is just a "corner point".
Similar and Congruent Figures Three hexagons meet at this vertex, and a hexagon has 6 sides. So this is called a "6.6.6" tessellation
Similar and Congruent Figures A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!
Similar and Congruent Figures Is a soccer ball a regular or semi-regular tessellation?
Similar and Congruent Figures Is a soccer ball a regular or semi-regular tessellation? Semi-regular, It is comprised of regular pentagons and hexagons
Similar and Congruent Figures There are also "demiregular" tessellations.
Similar and Congruent Figures How many shapes are in this tessellations?
Similar and Congruent Figures How many shapes are in this tessellations? 3 - square, triangle and hexagon.
Similar and Congruent Figures Agenda Notes – Homework – Practice Skills 13-6 Due Friday, March 7 Chapter 13 Test Monday, March 10