If triangle DEF is similar to triangle XYZ and the sides of DEF are 3 cm, 4 cm,

Practice Questions

If triangle DEF is similar to triangle XYZ and the sides of DEF are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of triangle XYZ if the ratio of similarity is 2:1?

6 cm, 8 cm, 10 cm
3 cm, 4 cm, 5 cm
1.5 cm, 2 cm, 2.5 cm
4 cm, 5 cm, 6 cm

Questions & Step-by-Step Solutions

If triangle DEF is similar to triangle XYZ and the sides of DEF are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of triangle XYZ if the ratio of similarity is 2:1?

Step 1: Understand that triangle DEF is similar to triangle XYZ, which means their sides are in proportion.
Step 2: Note the lengths of the sides of triangle DEF, which are 3 cm, 4 cm, and 5 cm.
Step 3: Identify the ratio of similarity, which is given as 2:1. This means that for every 1 unit of length in triangle DEF, triangle XYZ has 2 units.
Step 4: To find the lengths of the corresponding sides of triangle XYZ, multiply each side of triangle DEF by 2.
Step 5: Calculate the first side: 3 cm (DEF) * 2 = 6 cm (XYZ).
Step 6: Calculate the second side: 4 cm (DEF) * 2 = 8 cm (XYZ).
Step 7: Calculate the third side: 5 cm (DEF) * 2 = 10 cm (XYZ).
Step 8: Conclude that the lengths of the corresponding sides of triangle XYZ are 6 cm, 8 cm, and 10 cm.

No concepts available.

If triangle DEF is similar to triangle XYZ and the sides of DEF are 3 cm, 4 cm,

Practice Questions

Questions & Step-by-Step Solutions

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