Proving Similar Triangles
What are the rules used to prove triangles are similar.
What is:
SAS similarity
AAA similarity
SSS similarity
RHS similarity
In similar polygons all angles are congruent, and all sides are ______________.
What is proportional/in the same ratio/same scale factor
What is the factor relating two similar polygons called?
The scale factor
Solve 2x-3=9 for x.
x=6
In triangles, ABC and XYZ, angle A = angle Z and angle C = angle Y. What is the similarity statement of the triangles and reason?
ABC ~ ZXY by AAA similarity
One triangle has three sides that are 3cm, 4cm, and 5cm. Another triangle has three sides that are 9cm, 12cm, and 15cm. Are the two triangles similar? Explain.
What is YES; both SF = 3
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
What is the difference between triangles being similar versus them being congruent?
Congruent triangles have equal sides and angles while similar triangles have equal angles but proportional sides, same shape but different size.
In triangles ABC and XYZ, angle A = angle X, AB =10, XY = 24, AC = 5 and XZ = 12. Are the triangles similar, Write the similarity statement and reason.
ABC ~ XYZ by SAS similarity
In triangles ABC and XYZ, AB = 9, BC = 12, AC = 15. XY = 15, YZ = 20, XZ = 25. Are the triangles similar? Write the similarity statement and reason.
What is ABC ~ XYZ by SSS similarity
On a map 2 cm= 80 km. If Atlanta is 120 km from Thimbleton in the real world, how far apart are they on the map?
What is 3 cm?
Decide if the 2 triangles are similar. (y/n)
Triangle A: angles 60, 45, 75
Triangle B: angles 60, 24, 96
No
In triangles, ABC and XYZ? Two corresponding angles are congruent in each. What is the reason they are similar?
AAA similarity
Triangle ABC ~ AXY . AX = 9, AB = 12, AY =15 What is AC?
20
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
If x=12 then what does 3x-4 equal?
32
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 similarity statement and reason. 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.
triangle ABC ~ triangle AXY. AX = 7 , AY =4 and AC = 10. what is AB?
17.5
Find the scale factor from a bigger triangle to a smaller triangle if a pair of corresponding sides are 33 and 9, respectively.
3/11
What is the perimeter of a triangle that has the side lengths of 30km, 12 km, and 19km?
What is 61km