Similar Triangles Review

Proving Similar Triangles

100

Three rules to prove triangles are similar.

What is:

SAS similarity

AAA similarity

SSS similarity

200

In triangles, ABC and XYZ? angle A = angle Z and angle C = angle Y. What is the similarity statement of the triangles and reason?

What is ABC ~ ZXY by AA similarity

300

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.

What is ABC ~ XYZ by SAS similarity

400

In triangles, ABC and XYZ? Two corresponding angles are congruent in each. What is the reason they are similar?

Angles in a triangle add up to 180^o. What is AA similarity?

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 similarity statement and reason. If not, explain.

What is 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.

Similar Triangles

100

In similar polygons all angles are congruent, and all sides are ______________.

What is proportional

200

One a triangle has three sides that are 3cm, 4cm, and 5cm. Another triangles has three sides that are 9cm, 12cm, and 15cm. Are the two surfaces similar? Explain.

What is YES; both = 3

300

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

400

Triangle ABC ~ AXY . AX = 9, AB = 12, AY =15 What is AC?

What is 20?

500

triangle ABC ~ triangle AXY. AX = 7, AY =4 and AC = 10. what is AB?

What is 17.5?

Scale Factor

100

The factor relating two similar polygons

What is the scale factor?

200

Two corresponding sides of similar triangles have the lengths of 30 cm and 60 cm. What would be the scale factor of these triangles?

What is 1/2 or 2/1

300

On a map 2 cms = 80 kms. If Mackay is 120 kms from Proserpine in the real world, how far apart are they on the map?

What is 3 cms?

400

Find the scale factor from a smaller triangle to a bigger triangle if the perimeter of each is 20 and 50, respectively.

What is 2/5 or .4

500

Find the scale factor from a bigger triangle to a smaller triangle if a pair of corresponding sides are 33 and 9, respectively.

What is what is 11/3 or 3.67

other

100

Solve 2x-3=9 for x.

What is x=6

200

What is the difference between triangles being similar versus them being congruent?

What is congruent triangles have equal sides and angles while similar triangles have equal angles but proportional sides, same shape but different size.

300

Decide if the 2 triangles are similar. (y/n)

Triangle A: angles in ratio 2:3:4

Triangle B: angles in ratio 6:9:12

What is no?

400

If x=12 then what does 3x-4 equal?

What is 32

500

What is the perimeter of a triangle that has the side lengths of 30 cm, 12 cm, and 19 cm?

What is 61 cm