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FC: Geometry Scrapbook | By: Kaitlyn Halliday | geometry basics | angles and their measures | angle and segment bisectors | complementary, supplementary, and vertical angles | parallel lines and angles formed by transversal | perpendicular lines | triangles | pythagorean theorem and distance formula | congruent triangles | polygons

1: Table of Contents: | chapter one: geometry basics...pages 1-2 angles and their measures....pages 3-4 | chapter two: angle and segment bisectors...pages 5-6 complementary, supplementary, and vertical angles...pages 7-8 | chapter three: parallel lines and angles formed by transversal...pages 9-10 perpendicular lines....pages 11-12 | chapter four: triangles...pages 13-14 pythagorean theorem and distance formula...pages 15-16 | chapter five: congruent triangles...pages 17-18 | chapter six: polygons...pages 19-20 | extra important geometry things...pages 21-25

2: geometry basics: | points, lines and planes: | A plane has two dimensions. It is represented by a shaped that looks like a floor or a wall. You have

3: A point has no dimension. It is represented by a small dot. | A line has one dimension. It extends without end in two directions. It is represented by a line with two arrowheads.

4: angles and their measures: | acute, right, obtuse, and straight angles | A straight angle has a measure of 180 degrees.

5: An acute angle has a measure between 0 degrees and 90 degrees. | A right angle has a measure of 90 degrees. | An obtuse angle has a measure between 90 degrees and 180 degrees.

6: angles and segment bisectors: | A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint

7: An angle bisector is a ray that divides an angle into two angles that are congruent.

8: complementary, supplementary, and vertical angles: | Two angles are supplementary angles if the sum of their measures is 180 degrees.

9: Two angles are complementary angles if the sum of their measures is 90 degrees. | Two angles are vertical angles if they are not adjacent ans their sides are formed by two intersecting lines.

10: Parallel Lines and Angles formed by transversals: | Two lines are parallel lines if they lie in the same plane and do not intersect. | Two angles are corresponding angles if they occupy corresponding positions.

11: Two angles are alternate interior angles if they lie between the two lines on the opposite sides of the transversal. | Two angles are alternate exterior angles if they lie outside the two lines on the opposite sides of the transversal. | Two angles are same-side interior angles if they lie between the two lines on the same side of the transversal.

12: perpendicular lines: | Two lines are perpendicular lines if they intersect to form a right angle.

14: triangles: | A triangle is a figure form by three segments joining three non-collinear points. | A scalene triangle had no congruent sides.

15: A equilateral triangle has three congruent sides. | An isosceles triangle has at least two congruent sides.

16: pythagorean theorem and distance formula: | Pythagorean Theorem- In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

17: Distance formula is the distance between two points in a coordinate plane

18: congruent triangles: | SSS (side, side, side)- if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. | ASA (angle, side, angle)- if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent

19: SAS (side, angle, side)- if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. | AAS (angle, angle, side)- if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent | HL (hypotenuse leg)- if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of the second right triangle, then the two triangles are congruent

20: polygons: | Parallelograms: both pairs of opposite sides are parallel | rectangles: a parallelogram with four right angles

21: rhombuses: a parallelogram with four congruent sides | squares: a parallelogram with four congruent sides and four right angles

**By:**Kaitlyn H.**Joined:**about 6 years ago**Published Mixbooks:**0

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**Title:**Blank Canvas- Theme for Mixbook Scrapbookers
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