Front

What is proportionality in geometry?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant. In geometry, it often applies to similar shapes, where corresponding sides are in proportion.

Front

Define similar shapes.

Back

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

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is used to determine how much a shape is enlarged or reduced.

Front

If a shape is dilated by a scale factor of 0.5, what happens to its size?

Back

The shape is reduced to half its original size.

Front

How do you calculate the height of a scale model?

Back

To calculate the height of a scale model, divide the actual height by the scale factor.

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is calculated using the formula C = πd, where d is the diameter.

Front

What is the relationship between diameter and circumference?

Back

The diameter of a circle is the distance across the circle through its center, and the circumference is the distance around the circle. The ratio of the circumference to the diameter is π.

Front

If a map scale is 1 inch = 3 miles, how do you find the distance on the map for a real distance?

Back

To find the distance on the map, divide the actual distance by the scale factor.

Front

What is the height of Micah's model of the Empire State Building if the actual height is 381 meters and the scale is 1 cm = 50 meters?

Back

The height of Micah's model is 7.62 cm.

Front

What does it mean for two trapezoids to be similar?

Back

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