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Created on October 1, 2024

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Transcript

Unit 2 Project

Addie Douglas

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01 - Alternate interior Angles theorem

Two lines that are parallel to each other that get cut in half by a transversal (a line that cuts into more than one line) making the lines congruent (the same).

Two Great examples!

1. How can each be written?

Look at the problem below and use this as an exmple to see if you can solve interior angles.

How can interior angles be written? Conditional: If two angles are alternate interior angles(angles on the inside). then they are conguent (the same) Inverse: The lines used will be parallel if the angles are congurent Converse: If two angles are conguent, then they are interior angles (opposite of conditional) Contrapositive: If two angles are NOT interior angles then they are NOT conguent

2. Definition of Midpoint

02.

The middle point of a line. splitting a line into two.
How each can be written: Conditional: If angle X is between two points, then it is a midpoint Inverse: If angle X is NOT between two points, it is NOT the midpoint.
Converse: If a point makes two segments on a line, then it is a midpoint. Contrapositive: If it's NOT a midpoint, then it is NOT a point between two point.

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2. Definition of Midpoint

02.

The middle point of a line. splitting a line into two.
How each can be written: Conditional: If angle X is between two points, then it is a midpoint Inverse: If angle X is NOT between two points, it is NOT the midpoint.
Converse: If a point makes two segments on a line, then it is a midpoint. Contrapositive: If it's NOT a midpoint, then it is NOT a point between two point.

Continue

Contents

03. Vertical angles theorem

when two lines cross that makes another line.

Conditional: If two line are intersecting and make a line, Then they are vertical angles theorem. Inverse: If two line are NOT intersecting and make a line, then they Are NOT vertical angles theorem. Converse: If two lines are vertical angles, then they make a line when they intersect. Contrapositive: If two lines are NOT vetical angles, then they are Not vertical angles theorem.

Contents

04. Subtraction propery of equality

When a number in an equation is subtracted from both sides.

Example: x-14+2=1 solve for X.
Conditional: If X-14+2=1, then X=13 Inverse: If X=-13, then X-14-2=-1 Converse: if x=13, then x-14+2=1 Contrapositive: If x= -13, then X-14-2=1

05. Segment addition postulate

It is like addition except you have point, if two points have a common point ex: Gh=Lh Then the answer would be excluding the common point ex: GL
Conditional: If ex: H is on the same line as GH, then Gh+LH= GL Inverse: If ex: H does NOT land on line GH, Then GH+LH= -GL
Converse: If Gh+LH= GL, then H is on the same line as GH Contrapositive: If GH+LH= -Gl, then Gl is NOT between GH and LH