GF - Geometric Figures Module Overview
Geometric Figures Module Overview
Introduction
Students will learn to construct triangles that meet certain conditions, such as the measures of two angles and the included side, the lengths of all three sides, and the measure of the three angles. They will learn to identify the figures formed by cross sections and how to determine supplementary, complementary, vertical, and adjacent angles and how to solve simple equations to find the measure of unknown angles in a figure. These concepts are important because it is important to be able to understand the areas related to space and the position, size and shape of things in it.
Essential Questions
- How can you draw shapes that satisfy given conditions?
- How can you recognize shapes that satisfy given conditions?
- How can you identify cross sections of three-dimensional figures?
- How can you use angle pairs to solve problems?
Key Terms
The following key terms will help you understand the content in this module.
Unique triangle - Triangles that do not have an equivalent. This means there is not another triangle that has the exact dimensions or shape.
Similar triangles - Similar triangles are triangles that have congruent angle measures and proportional corresponding sides.
Intersection - An intersection is the point or set of points common to two or more geometric figures
Cross Section - Cross sections are two-dimensional figures formed when a three-dimensional figure is sliced by a plane.
Congruent Angles - Congruent angles have the same measure.
Vertical Angles - Vertical angles, also known as opposite angles, are opposite, congruent angles formed by two intersecting lines.
Adjacent angles - Adjacent angles are pairs of angles that share a vertex and one side but do not overlap
Complementary Angles - Complementary angles consist of two angles whose measures have a sum of 90 degrees
Supplementary Angles - Supplementary angles consist of two angles whose measures have a sum of 180 degrees.
Transversal A transversal is a line that cuts across a set of lines. Transversals often cut across parallel lines.
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