Find the Value of x in Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the property of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the property of corresponding sides in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

How do you find the value of x in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for x.

Front

If triangle XYZ is similar to triangle PQR, and XY = 6 cm, PQ = 12 cm, what is the value of x if YZ = x cm and QR = 24 cm?

Back

x = 12 cm.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

Scale factor = length of a side in one triangle / length of the corresponding side in the other triangle.

Front

If two triangles are similar and the lengths of one triangle's sides are 3, 4, and 5, what are the lengths of the corresponding sides of the other triangle if the scale factor is 2?

Back

The lengths are 6, 8, and 10.

Front

What is the significance of the scale factor in similar triangles?

Back

The scale factor indicates how much larger or smaller one triangle is compared to the other.

Front

If triangle ABC is similar to triangle DEF and the lengths of sides are in the ratio 3:5, what is the relationship between their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, so (3:5)² = 9:25.