Similar Triangles
Proving Similar Triangles
Scale Factor
Applications
Fun facts
100
In similar polygons all angles are congruent, and all sides are
proportional.
100
If two triangles have congruent angles and proportional corresponding sides, they are said to be this.
similar
100
Two similar triangles have perimeters of 24 cm and 36 cm. What is the scale factor?
2:3
100
On a map 1 inch = 50 miles. If point A is 7.5 inches from point B on the map. How far is point A from point B in the real world?
375 miles
100
How do Flamingoes eat
Flamingos eat upside down
200
solve the proportion:
9/2 = x/14
x=63
200
In triangles ABC and XYZ, AB = 9, BC = 12, AC = 15. XY = 15, YZ = 20, XZ = 25. Are the triangles similar? What is the condition of similarity?
ABC ~ XYZ by SSS similarity
200
Solve for x.
23=x+34x
x=3
200
Solve for x.
2 /x = x /32
x=8
200
........is one of the most unique number. It is the only single number that can not be divisible by a number and be kept in the 1 - 10 number range.
7
300
True or False: If two right triangles have one pair of congruent acute angles, they must be similar.
True
300
Congruent triangles are always similar triangles.
True or False
True
300
Two corresponding sides of similar triangles have the lengths of 30 cm and 60 cm. What would be the scale factor of these triangles?
1/2 or 2/1
300
On a map 2 inches = 80 miles. If Atlanta is 400 miles from West Virginia in the real world, how far apart are they on the map?
10 inches
300
Forests cover..........% of the world’s land surface
31%
400
Triangle ABC ~ AXY . AX = 9, AB = 12, AY =15 What is AC?
20
400
Which theorem states that if the corresponding sides of two triangles are proportional, then the triangles are similar?
SSS (Side-Side-Side) Similarity
400
Find the scale factor from a smaller triangle to a bigger triangle if the perimeter of each is 20 and 50, respectively.
50/20 = 2.5
400
How many miles squirrels can run per hour?
Squirrels can run at about 20 miles per hour.
500
In triangles ABC X is between A and B, Y is between A and C, and Z is between B and C. AX = 4, AB = 12, AY = 6 and AC =18. Are Triangles ABC and AXY similar? What is the scale factor? Must show work.
YES? AX/AB = AY/AC? 4/12 = 6/18 = 1/3 <-- scale factor
500
In triangles ABC and XYZ, angle A = angle Z. AC = 50, AB =25, XZ =100 and XY =50. Are the triangles similar? If so, write the condition of similarity. If not, explain.
NO, They may not be similar because only one of the angles given is the included angle. It does not fit SAS similarity. Only if angle X = angle A then they are.
500
Given the two triangles are similar, find the missing indicated length
= 39
500
Two triangles are similar. The smaller triangle has a side of 5 and a height of 8. The larger one has a corresponding side that measures 20. What is the height of the larger one?
32
500
How many miles a cheetah can run in an hour?
A cheetah can run up to 76 miles per hour