Triangles - Properties and Attributes

This concept further explores triangles and their properties. We learn about perpendicular and angle bisectors, medians, altitudes, the triangle midsegment theorem, and inequalities in triangles. We also learn about special right triangles and the Pythagorean theorem.

The concept is broken into smaller topics, which makes it easier and much more fun for students. The topics are listed below:-

Bisectors of Triangles

In this topic, we learn to apply the properties of perpendicular bisectors and angular bisectors of triangles.

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Indirect Proof and Inequalities in One Triangle

In this topic, we learn to write indirect proofs and apply inequalities in one triangle.

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Inequalities in Two Triangles

In this topic, we learn to apply inequalities in two triangles.

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Medians and Altitudes of Triangles

In this topic, we learn to apply properties of medians and altitudes of triangles.

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Perpendicular and Angle Bisectors

In this topic, we will learn to prove and apply theorems about perpendicular and angle bisectors and also apply it on the coordinate plane.

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Properties of The Pythagorean Theorem

In this topic, we learn to use the Pythagorean Theorem and its converse and. We also learn to use Pythagorean inequalities to classify triangles.

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Special Right Triangles

In this topic, we learn to justify and apply properties of 45⁰-45?-90? triangles and 30?-60?-90? triangles.

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The Triangle Midsegment Theorem

In this topic, we learn to use the properties of triangle midsegments.

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