Chapter 4 outline/ vocabulary

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Chapter 4 outline/ vocabulary by Mind Map: Chapter 4 outline/ vocabulary

1. 4-1

1.1. dilation: a transformation in which a figure grows larger

1.1.1. isometry: a transformation that never changes with respect to distance.

1.1.1.1. rigid transformation: a transformation that does not change the size or figure of it.

2. 4-2

2.1. acute triangle: a triangle with all 3 angles below 90 degrees.

2.1.1. equiangular triangle:a triangle where all 3 sides are equal.

2.1.1.1. right triangle: a triangle in which one angle is a 90 degree angle.

2.1.1.1.1. obtuse triangle: a triangle in which the angles are above 90 degrees.

3. 4-3

3.1. auxiliary line: a line needed to complete a proof in plane geometry.

3.1.1. corollary: a statement that follows with not little to no proof of an already proven statement.

3.1.1.1. interior: an angle formed formed between parallel lines

3.1.1.1.1. exterior: an angle formed outside of parallel lines.

4. 4-4

4.1. corresponding angles: when 2 lines are crossed by another line.

4.1.1. corresponding sides: 2 angles or 2 sides are congruent if they have the same measure.

4.1.1.1. congruent polygons: have the same number of sides and are corresponding interior angles and sides.

5. 4-5

5.1. triangle rigidity: a property of triangles that states if the side lengths of the triangle are fixed.

5.1.1. included angle: the angle between two sides of a triangle.

6. 4-6

6.1. included side: links two angles together. Usually found in triangles and other polygons.