Sophia: Similar Solids and Similar Figures: Lesson 5

Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...

In this solids worksheet, students identify the characteristics of solids. They name solids and determine the number of faces. This three-page worksheet contains seventeen problems. Answers are listed on the last page.

What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...

Blow up a solid by a scale factor. A section of a larger playlist on basic geometry introduces the ratios of the surface areas and volumes of similar solids. Using the ratios, the video works several examples involving similar figures.

Although a rather complicated topic, this video clearly explains the concept of solving problems involving similar triangles. It employs problem-solving to determine whether two figures are similar triangles. In addition, it provides...

Building on concepts in the first part of the series on similar triangles, installment number two explores how to find the values for given angles in a triangle. These problems are solved by using algebra and ratios. A step-by-step...

Math whizzes work with angle sums and exterior angles to figure out the measure of other angles. This particular publication provides comprehensive support in the form of an anticipatory activity, questions designed to prompt discussion,...

Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...

Let's move into the third dimension! Learners explore the vocabulary and notation related to three-dimensional figures. The video covers examples of pyramids, but the vocabulary is universal to all 3-D objects.

Given a quadratic formula in a specific format, this lesson shows you how to find factors of a and c that add to b. It is 5 of 11 in the series titled "Factoring Positive A and C."