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Module 4
Angle Measure and Plane Figures


Overview

Throughout this module students will:
  • construct, recognize, and define geometric objects such as points, lines, line segments, rays, and angles
  • use a variety of strategies to create and measure angles
  • solve equations to find unknown angle measures
  • recognize lines of symmetry for two-dimensional figures
  • define and classify triangles based on angle measure and side length
  • explore definitions of familiar quadrilaterals and classify them based on their attributes, including angle measure and parallel and perpendicular  lines

Vocabulary

Terminology Definition Illustration
Acute Angle Angle with a measure of less than 90 degrees
     
Acute Triangle A triangle with all interior angles measuring less than 90 degrees
     
Adjacent Angles Two angles with a common side and a common vertex (corner point) that do not overlap
     
Angle Two rays that share an endpoint
     
Arc Part of a circle's curve between any two of its points
     
Collinear Three or more points on a straight line
     
Complementary Angles  Two angles with a sum of 90 degrees
     
Degree Measure Unit for measuring angles based on dividing one circle into 360 equal parts
     
Diagonal Straight lines joining two opposite corners of a straight-sided shape
     
Equilateral Triangle Triangle with three equal sides and three equal angles
     
Figure Set of points in the plane
     
Interior of an Angle The convex region defined by the angle
     
Intersecting Lines Lines that contain at least one point in common
     
Isosceles Triangle Triangle with at least two equal sides
     
Length of an Arc Circular distance around the arc
     
Line A straight path that extends without end in both directions
     
Line of Symmetry A line that divides a figure into two congruent halves that are mirror images of each other
     
Line Segment A part of a line with two endpoints
     
Obtuse Angle An angle with a measure greater than 90 degrees but less than 180 degrees
     
Obtuse Triangle A triangle with an interior obtuse angle
     
Parallel  Two lines in a plane that do not intersect
     
Perpendicular Two intersecting lines that form right (90 degree) angles
     
Point Precise location on a plane
     
Protractor Instrument used in measuring or sketching angles
     
Ray Part of a line that has one endpoint and goes on forever in one direction
     
Right Angle Angle formed by perpendicular lines, measuring 90 degrees
     
Right Triangle A triangle that contains one 90 degree angle
     
Scalene Triangle A triangle with no sides or angles equal
     
Straight Angle Angle that measures 180 degrees
     
Supplementary Angles Two angles with a sum of 180 degrees
     
Triangle Consists of three non-collinear points and three line segments between them, the three segments are called sides and the three points are called vertices
     
Vertex A point at which two line segments, lines, or rays meet to form an angle
     
Vertical Angle When two lines intersect, any two non-adjacent angles formed by those lines are called vertical angles or vertically opposite angles

Module4Overview from JD K-4 Math on Vimeo.

Using a Protractor from JD K-4 Math on Vimeo.


DISTRICT

OUR SCHOOLS




Dr. Peter Smith, Superintendent

P.O. Box 606
DeWitt, NY 13214

Phone: (315) 445-8300
www.jamesvilledewitt.org


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