In this lesson, students will learn how to find the circumcenter and incenter of a triangle using angle bisectors, perpendicular bisectors, and circles. They will understand the concept of different centers in a triangle and how they...

The Kiboomers! Listen to our 'Shapes Song' video and sing along with the kids! "SHAPES SONG" Squares! A square is shaped like a box It's made with four straight lines There are squares everywhere Are there any that you can find? A square...

In this video, we learn about solving for X in triangles using the sine ratio. By comparing the ratios of the length of the side opposite an acute angle to the length of the hypotenuse in right triangles, we can determine the value of X....

In this video, students learn how to find the coordinates of the 45-degree angle on the unit circle by using properties of special right triangles. The video explains the concept of isosceles right triangles and how they relate to the...

In this video, you will learn how to construct an inscribed circle on a triangle using the triangle's angle bisectors. The inscribed circle is the largest possible circle that fits inside the triangle, with the triangle's sides tangent...

In this series of programs students are introduced to perimeter and area. Easy-to-understand examples enable students to understand the process by which perimeter is calculated. The area of rectangles, parallelograms, and triangles is...

In this video, students will learn how to use trigonometric ratios to find the height of a flagpole. The lesson covers angles of elevation and depression, as well as the different trigonometric ratios. The video provides a step-by-step...

This video contains 1 proof to solve. Geometric Proofs, Part 6

In this video, the teacher explains how to solve for X without using the tangent ratio. Instead, they introduce the cotangent ratio and demonstrate how it can be used to find the length of the leg adjacent to an acute angle in a right...

In this video, the teacher explains how to find the length of segment DG in a right triangle without using the cosine ratio. Instead, they introduce the secant ratio, which compares the length of the hypotenuse to the length of the leg...

This week we meet with artist and designer Jonathan Nesci at the First Christian Church in Columbus, Indiana. Jonathan uses systems of design to experiment with new materials and processes, and his assignment for you invites you to do...

In this video, the teacher explains how to describe a straight line using a unique slope. They demonstrate that similar right triangles make straight lines, and the ratio of rise to run remains constant regardless of the specific...

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is...

👉 Learn how to find the area and perimeter of composite shapes. A composite shape is a shape that is composed of different shapes. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is...

In this video, students learn how to find the coordinates of points along a straight line using similar triangles. They are taught to set up ratios with the vertical side (rise) first and the horizontal side (run) second.

This video is a comprehensive lesson on circle theorems, including an extension on the topic. The presenter covers the key four circle theorems that students should know, including the arrow shape, bow shape, quadrilateral, and...

In this video, the teacher explains why only some right triangle hypotenuses combine to make a straight line. They demonstrate that when the ratios of the sides of two right triangles are equal, they can be placed together to form a...

In this lesson, students learn how to solve real-world problems involving similarity criteria. Using the example of finding the distance across a canyon, they apply the vertical angle theorem and angle-angle similarity postulate to...

In this lesson you will learn how to prove the Pythagorean Theorem by using similar triangles.

In this video, the teacher explains the concept of Y equals MX and where it comes from. They use the idea of similar triangles to derive the equation. The lesson emphasizes that the equation represents a line passing through the origin...

In this lesson you will learn how to determine if a triangle is a right triangle by applying the Area of Squares Proof.

In this video series I show you how to evaluate the six trigonometric functions when given a point. We do this by creating a right triangle and finding the hypotenuse by using the Pythagorean theorem. #trigonometry...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

This video lesson explains the concept of exterior angles in triangles and how they are related to the interior angles. It demonstrates how to find the measures of exterior angles using the sum of interior angles. It also applies this...