Unit 4.2 Make Up Assignment

Front

What is a similarity statement in geometry?

Back

A similarity statement is a mathematical expression that indicates that two figures are similar, meaning they have the same shape but not necessarily the same size. For example, if triangle ABC is similar to triangle DEF, it can be written as ABC ∼ DEF.

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the formula for solving proportions?

Back

The formula for solving proportions is \( \frac{a}{b} = \frac{c}{d} \), which can be cross-multiplied to find the unknown value.

Front

If \( k = \frac{a}{b} \), what does this represent?

Back

This represents the ratio of two quantities, a and b, which can be used to solve for unknowns in proportional relationships.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

How do you solve for an unknown variable in an equation?

Back

To solve for an unknown variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the significance of corresponding sides in similar polygons?

Back

Corresponding sides in similar polygons are the sides that are in the same relative position in each polygon, and their lengths are proportional.

Front

What is the relationship between the angles of similar polygons?

Back

The corresponding angles of similar polygons are equal.

Front

How can you express a similarity statement for two similar quadrilaterals?

Back

A similarity statement for two similar quadrilaterals can be expressed as ABCD ∼ EFGH, indicating that the quadrilateral ABCD is similar to quadrilateral EFGH.

Front

What is the value of k if \( \frac{2}{k} = \frac{4}{8} \)?

Back

To solve for k, cross-multiply: 2 * 8 = 4 * k, which gives k = 4.