Section 11-3 Perimeters and Areas of Similar Figures.
-
Upload
lucy-melton -
Category
Documents
-
view
215 -
download
3
Transcript of Section 11-3 Perimeters and Areas of Similar Figures.
Section 11-3Perimeters and Areas of Similar
Figures
Recall: Two polygons are similar iff
corresponding angles are congruent and the lengths of corresponding sides are proportional.
The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor.
Recall:
• The ratio of the perimeters of two similar polygons is the same as the scale factor.
Areas of Similar Polygons Theorem
• If two polygons are similar with the lengths of corresponding sides in the ratio , then the ratio of their areas is .
ba :22 :ba
If you are given the ratio of the areas,
take the square root of each to find the scale factor or ratio
of perimeters.
always, sometimes, or never?1.Two similar quadrilaterals
have the same perimeter.
2.Two squares with the same perimeter are similar.
3.Two regular hexagons are similar.
Sometimes
Always
Always
always, sometimes, or never?
4. Two right triangles with the same area are similar.
5. Two similar pentagons have the same perimeter.
6. Two rectangles with the same area are similar.
Sometimes
Sometimes
Sometimes
always, sometimes, or never?
7. Two regular decagons are similar.
8. Two regular polygons are similar.
Always
Sometimes