6.3 Use similar polygons
Presentation
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Paige LaGrange
Used 14+ times
FREE Resource
14 Slides • 9 Questions
1
6.3 Use similar polygons
Geometry
Mrs. LaGrange
2
Similar Polygons
For similar polygons:
Corresponding interior angles are congruent, and corresponding sides are proportional.
3
Multiple Choice
4
Multiple Choice
5
Scale Factor
If two polygons are similar, then the ratio of the
lengths of two corresponding sides is called the
scale factor.
6
Scale Factor
If the scale factor is less than 1 (a fraction or decimal less than 1) the result is a reduction.
If the scale factor is greater than 1 the result is an enlargement.
7
Multiple Choice
8
Multiple Choice
9
Multiple Choice
The two polygons are similar. What is the scale factor of the big quadrilateral to the small quadrilateral?
10
Multiple Choice
The two polygons are similar. What is the scale factor of the small quadrilateral to the big quadrilateral?
11
The two triangles are similar. Can you solve for x?
Use proportions of corresponding sides to solve for x.
12
Perimeters
The ratio of lengths in similar polygons is the same as the scale factor. Therefore, the ratio of their perimeters is the same as the scale factor.
13
14
15
Multiple Choice
16
17
Scale Factor:
Value of x:
Perimeter of ABCDE:
Perimeter of FGHJK =3/2 Perimeter of ABCDE.
18
Similarity and Congruence
Any two congruent figures are also similar. They have a scale factor of 1:1.
19
20
21
Fill in the Blanks
Type answer...
22
Multiple Choice
23
Great job!
Take-away for similar polygons:
- Corresponding Angles are congruent.
- Corresponding sides are proportional.
- Scale factor is IMPORTANT!
- Side Lengths, Perimeters, Medians, and Altitudes, of similar polygons are proportional based on the scale factor.
6.3 Use similar polygons
Geometry
Mrs. LaGrange
Show answer
Auto Play
Slide 1 / 23
SLIDE
