Geometry Semester 1 Final (2024)

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar polygons, it is the ratio of the lengths of corresponding sides.

Front

What are similar polygons?

Back

Similar polygons are polygons that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

Define an acute triangle.

Back

An acute triangle is a triangle where all three interior angles are less than 90 degrees.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Front

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

Back

The scale factor can be found by dividing the length of a side of one polygon by the length of the corresponding side of the other polygon.

Front

What is the relationship between the areas of two similar polygons?

Back

The ratio of the areas of two similar polygons is equal to the square of the scale factor.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60 degrees.

Front

Back

To solve for x, cross-multiply: 6 * 10 = 15 * x. This gives 60 = 15x, so x = 4.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.