Similarity Flashcard

Front

What is similarity in geometry?

Back

Similarity in geometry means that two shapes 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 ratio of the areas of two similar shapes if the ratio of their corresponding sides is 1:5?

Back

The ratio of their areas is 1:25.

Front

If two rectangles are similar and the length of one rectangle is 4 units and the length of the other is 20 units, what is the ratio of their lengths?

Back

The ratio of their lengths is 1:5.

Front

What does it mean if two triangles are similar?

Back

If two triangles are similar, it means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

If the corresponding sides of two similar figures are in the ratio 2:3, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 2:3.

Front

What is the value of X if 2X + 4 = 8?

Back

X = 2.

Front

What is the value of Y if 3Y - 6 = 0?

Back

Y = 2.

Front

If the diagonals of two similar rectangles are in the ratio of 1:5, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:5.

Front

What is the value of x if x + 3 = 7?

Back

x = 4.

Front

If two similar shapes have a side length ratio of 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.