Using Proportions
Exploring Similar Polygons
Identifying Similar Triangles
Parts of Similar Triangles
Fractals and Self Similarity
100
3 = x 5 15
What is 9
100
What is the scale factor of ABCD to EFGH?
What is 4 __ 3
100
This shows that two angles of one triangle are congruent to two angles of the other triangle.
What is AA Similarity
100
(number 1 on 7-5 practice) Find the value of x.
What is x = 16
100
A geometric shape created using a process called iteration.
What is a Fractal
200
x+1 x - 1 ____ = _____ 5 2
What is 7 __ 3
200
Find EF
What is EF = 15
200
Shows that the measures of the corresponding sides of the triangles are proportional.
What is SSS Similarity
200
(number 2 on 7-5 practice) Find the value of x.
What is x = 6.5
200
A process of repeating the same procedure over and over again.
What is Iteration
300
20 - x 6 _____ = ___ x 4
What is 8
300
Find FG
What is FG = 9
300
Shows that the measure of two sides of a triangle are proportional to the measures of the corresponding sides of the other triangle and that the included angles are congruent.
What is SAS Similarity
300
(number 3 on 7-5 practice) Find the value of x.
What is x = 7 1/2
300
A characteristic of fractals. The smaller and smaller details of a shape have the same geometrical characteristics as the original, larger form.
What is Self-Similarity
400
The ratio of seniors to juniors in the Math Club is 2:3. If there are 21 juniors, how many seniors are in the club?
What is 14 seniors
400
Find the perimeter of ABCD and the perimeter of EFGH
What is ABCD = 65 and EFGH = 48.75
400
(question 1 on 7-3) Determine whether these pair of triangles are similar and by which reason
What is yes, by AA
400
(number 4 on 7-5 practice) Find the value of x.
What is x = 10
400
(draw on board) Draw stage 3 of this figure
What is stage 3
500
If a 6-foot post casts a shadow that is 8 feet long, how tall is an antenna that casts a 60-foot shadow at the same time?
What is 45 feet
500
Find the ratio of the perimeter of ABCD to the perimeter of EFGH
What is 4 __ 3
500
(question 3 on 7-3) Determine whether these pair of triangles are similar and by which reason
What is No
500
(number 5 on 7-5 practice) In this figure, triangle ABC ~ triangle DEF, and line BX and line EY are altitudes. Find the value of x.
What is x = 11.52
500
(draw on board) Draw stage 3 of this figure.
What is stage 3