Similar Polygons (10.7) HW: 10.7 (1-8, 13-22). Essential Question: How do the areas and perimeters of similar shapes compare?

Slides:



Advertisements
Similar presentations
8.6 Perimeters and Areas of Similar Figures (1 card)
Advertisements

11-7 Areas and Volumes of Similar Solids. Problem 1: Identifying Similar Solids Are the two rectangular prisms similar? If so what is the scale factor.
Congruence and Similarity
10-4 Perimeters and Areas of Similar Figures
TODAY IN GEOMETRY…  Review: Pythagorean Theorem and Perimeter  Learning Target: You will find areas of different polygons  Independent practice.
Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300
Unit 10 Review Area Formulas. FOR EACH FIGURE: IMAGINE the shape THINK of its AREA FORMULA.
Chapter Review Understand how to use formulas to find area and perimeter DO NOW: A particular rectangle has an area of 36 square feet and a.
Essential UnderstandingEssential Understanding  You can use ratios to compare the perimeters and areas of similar figures  Students will be able to.
Finding the Area of Polygons Vocabulary Perimeter – The sum of all sides of the shape. Area – The total occupied space of a shape in units squared.
Chapter 10: Area Section 10-4: Perimeters and Areas of Similar Figures.
WARM-UP: Find the missing measurement in each triangle x 60 ° 10 x 54 ° 10 x x°x° 6 x = 8 x = 17.0 x = 59 °
8.6:Perimeters and Areas of Similar Figures
Find the Perimeter and Area:
A Four Sided Polygon! 1.BOTH pairs of opposite sides are parallel 2.BOTH pairs of opposite sides are congruent.
Rectangle l - length w - width Square s – side length s s s.
Special Ratios Similar Figures: Scale Factor Ratio of Perimeters
Changing Dimensions What’s the effect on Perimeter and Area??
Parellelograms. Parallelograms – Squares, Rectangles, Rhombi.
Do Now: Calculate the measure of an interior angle and a central angle of a regular heptagon.
11.3 Perimeters and Area of Similar Figures
Vocabulary: Area— amount of space _________________________ a plane figure. Measured in ______________ units. Perimeter— __________________________________.
Area of Triangles and Quadrilaterals Basic equations and applying to irregular polygons.
Find the area of the equilateral triangle if one of the sides is 8.
 You can use similar figures to find missing information about one of the figures, when you know the measurements of at least one of the figures and.
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
Quick Start Expectations d 135⁰ d 45⁰ Teaching Target: I can use rep-tiles to see the effect of scale factor on side lengths, angles, perimeter, and area.
Geometry/TrigName: __________________________ Ratio of Perimeters & Areas ExplorationDate: ___________________________ Recall – Similar Figures are figures.
Trapezoids and Kites (10.5/10.6) HW: 10.5 (1-5, 11-14) 10.6 (3-11 odds, 12-15)
Special Ratios for Similar Figures Lesson What is the scale factor for the similar parallelograms? 2. Solve for x in the pair of similar triangles.
10.4 Perimeters & Areas of Similar Figures
10.4 Perimeters and Areas of Similar Figures. Perimeters and Areas of Similar Figures  If the similarity ratio is, then:  The ratio of the perimeters.
Sec. 6–2 Similar Polygons. Figures that are similar (~) have the same shape but not necessarily the same size. Angles are congruent, Sides are proportional.
Area of shapes and in a coordinate plane Chapter 8-3.
9.1 PERIMETER AND AREA OF PARALLELOGRAMS Objective: Students find the perimeter and area of parallelograms.
Unit 8 – 3 Finding Perimeter and Area Regular polygons and simple shapes with algebraic expressions.
Warm up Give the formulas for how to find the area of a: Rectangle Triangle Circle Kite.
8th Grade Math Unit 8 Review
Area Geometry Chapter 10.
Corresponding Parts of Similar Triangles
Group Work: Predict(and record) before you work!
AREA OF SQUARE/ RECTANGLE
C 5 4 A B 6 Z 10 8 X Y 12.
Find the area and circumference of each circle.
Section 11-7 Ratios of Areas.
Perimeters and Areas of Similar Figures
11.6 Perimeters and Areas of Similar Figures
Objective: To find the perimeters and areas of similar figures.
Area of Shapes.
Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.
7.7: Perimeters and Areas of Similar Figures
UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM
Warm Up Identify each number as rational, irrational or not real and explain why ) …… 6) -16 7) 6/0 8) 0/4.
Shape Formula Picture Parallelogram Triangle Trapezoid Kite Rectangle
Area Scale Factor Learning Objectives: Know what a similar shape is
11.3 Perimeters and Area of Similar Figures
Unit 10: 2-Dimensional Geometry
Similar Figures.
Area of Rectangles and Parallelograms
Warm-Up.
Perimeter.
HW: 3 area & perimeter Materials
11.7: Surface Area and Volume for Similar Solids
Areas of Parallelograms and Triangles
7.7 Perimeters and Area of Similar Figures
7.2 Ratios and proportions
Chapter 10 Concepts- section by section
Volume of Prisms, Cross Sections and Scale Factors
Areas of Parallelograms and Triangles
11.7 Perimeters and Areas of Similar Figures
Presentation transcript:

Similar Polygons (10.7) HW: 10.7 (1-8, 13-22)

Essential Question: How do the areas and perimeters of similar shapes compare?

similar proportional

P=52 P=78

Small Area=160 Big Area=360

Scale Factor: Ratio of P: Ratio of A:

Two kites are similar with a scale factor of. If you know the area of the smaller kite is 72 square inches, what is the area of the larger kite? Ratio of A: x= 162 in 2

5min HW: 10.7 (1-8, 13-22)

DDue on December 23 rd (next Wednesday) CCounts as a summative grade (AKA quiz grade) YYou may work with a partner MMaking a blueprint to a house and finding the area and perimeter of it SStart in pencil MMust have the minimum number of rooms and shapes included MMust have the correct calculations

 Rectangles  Parallelograms  Triangles  Trapezoids  Kites  Composite Figures  Similar Shapes

 Pythag Thm:  Rectangle:  Parallelogram:  Triangle:  Trapezoid:  Kite:

Rectangles/Parallelograms/Triangles (10.1/10.2/10.3) ffinding area/perimeter ssolving for missing dimensions given area Trapezoids (10.5) ffinding area/perimeter Kites/Rhombuses (10.6) ffinding area/perimeter ssolving for missing diagonals given area Composite Shapes (10.5) ffinding area of a composite shape Similar Polygons (10.7) FFinding scale factor, perimeter ratio, and area ratio SSolving for a missing area or side given a ratio

 You will get 20min at the beginning to class to ask questions and write notecards. I will have review problems to do, if you need them.  After the quiz, you can work on your blueprint project (start in pencil)  Project is due the 23rd

 10.7 (1-8, 13-22)