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Geometry Basics: Angles, Triangles, and Shapes - Grade 4 Module 4, Exams of Mathematics

Definitions and explanations of various geometry terms related to angles, triangles, and shapes for Grade 4 students. Topics include acute angles, acute triangles, adjacent angles, complementary angles, degrees, equilateral triangle, figure, interior of an angle, intersecting lines, isosceles triangle, line, line segment, obtuse angle, obtuse triangle, parallel, perpendicular, point, protractor, ray, right angle, right triangle, scalene triangle, straight angle, supplementary angles, triangle, vertex, and vertical angles.

Typology: Exams

2021/2022

Uploaded on 09/12/2022

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Grade 4 Module 4
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Acute Angle
An angle with a measure of less than 90 degrees.
Acute Triangle
A triangle with all interior angles measuring less than 90 degrees.
Adjacent Angle
Two angles <AOC and <COB, with a common side OC, are adjacent angles.
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Acute Angle

An angle with a measure of less than 90 degrees.

Acute Triangle

A triangle with all interior angles measuring less than 90 degrees.

Adjacent Angle

Two angles <AOC and <COB, with a common side OC, are adjacent angles.

Angle

Union of two different rays sharing a common vertex, ex <AOB

Arc

Connected portion of a circle.

Collinear

Three or more points are collinear if there is a line containing all of the points; otherwise, the points are non-collinear.

arc

Equilateral triangle

Triangle with three equal sides.

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.

Obtuse Angle

Angle with a measure greater than 90 degrees, but less than 180 degrees.

Obtuse Triangle

Triangle with an interior obtuse angle.

Parallel

Two lines in a plane that do not intersect, ex. AB CD

d

Perpendicular

Two lines are perpendicular if they intersect, and any of the angles formed between the lines is a 90 degree angle, ex. EF GH

Point

Precise location in the plane.

Protractor

Instrument used in measuring or sketching angles.

Scalene triangle

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

A triangle consists of three non-collinear points and the three line segments between them. The three segments are called the sides of the triangle, and the three points are called the vertices.

Vertex

A point, often used to refer to the point where two lines meet, such as in an angle or the corner of a triangle.

Vertical angles

When two lines intersect, any two non-adjacent angles formed by those lines are called vertical angles or vertically opposite angles.

Quadrilateral

Polygon with four sides.

Rectangle

Quadrilateral with four right angles.

Rhombus

Quadrilateral with four sides of equal length.

Square

Rectangle with all sides of equal length.

Sum

Result of adding two or more numbers.

Example: 30˚+ 45˚ = 75˚

Trapezoid

Quadrilateral with at least one pair of parallel sides.