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Labeling Right Triangles WORKSHEET

Suitable for Grades: Geometry, IM 3
CCSS: HSG.SRT.C.6, HSG.SRT.C.8
CCSS Description: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Labeling Right Triangles WORKSHEET DESCRIPTION

This worksheet helps students master the skill of labeling sides of right triangles, an essential foundation for trigonometry.

Firstly students are asked to label the sides relative to the angle θ as opposite, adjacent, or hypotenuse.

Next learners ensure six triangles are fully labeled, including adding a label of θ for the included angle, when given one side labeled already.

Then students will find and label right angled triangles within shapes using a given angle, θ. Shapes include: a rectangle, trapeziod, isosceles triangles, and a parallelogram.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Frequently Asked Questions

This worksheet is designed for Geometry and IM 3 students who are preparing to study trigonometry. The skill of labeling triangle sides relative to a given angle is a crucial prerequisite that students need before they can work with sine, cosine, and tangent ratios. Understanding how to identify opposite, adjacent, and hypotenuse sides builds the foundation for all future trigonometric work.