Download - In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES
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In geometry, two objects are similar when one is a scale model of the other.
SIMILAR SHAPES
![Page 2: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/2.jpg)
These two triangles appear to be similar….
SIMILAR SHAPES
![Page 3: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/3.jpg)
SIMILAR SHAPES
These two are NOT similar….
![Page 4: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/4.jpg)
How do you check that triangles are similar?
SIMILAR TRIANGLES
![Page 5: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/5.jpg)
We need to compare CORRESPONDING sides….
SIMILAR TRIANGLES
![Page 6: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/6.jpg)
….or corresponding angles.
SIMILAR TRIANGLES
Corresponding angles will be equal.
![Page 7: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/7.jpg)
26
12 2
4
8 2
5
10
Looking for a scale factor
![Page 8: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/8.jpg)
8
10
6
15
912
SIMILAR TRIANGLES
These two triangles are similar. What is the scale factor?
![Page 9: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/9.jpg)
8
10
6
15
912
SIMILAR TRIANGLES
We really only need to use one pair of corresponding sides.
SF = 12 ÷ 8 = 1.5
![Page 10: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/10.jpg)
SIMILAR TRIANGLES
Are these triangles similar?
![Page 11: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/11.jpg)
d
c
b
a adbc
4
6
6
8
8
10
Does the following apply?
Try this neat method...
If this is true, similarity applies
![Page 12: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/12.jpg)
4
6
6
8
8
10
Lets check...
So these are not similar triangles
88106
![Page 13: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/13.jpg)
The two triangles are similar. Use the cross multiplying method to determine the missing value x.
12
X
15
18
![Page 14: In geometry, two objects are similar when one is a scale model of the other. SIMILAR SHAPES](https://reader037.vdocument.in/reader037/viewer/2022091118/56649f145503460f94c28ca5/html5/thumbnails/14.jpg)
x
18
15
12
27012
151812
x
x
5.22
12270
x
x