HI VX and SU I HJ. Complete the proof that ZRWV ZUTY. W. Statement Reason HJ || VX Given 1 2 SU HJ Given ZUTY E LJIY Corresponding Angles Theorem ZJIY E ZRWV Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem ZRWV ZUTY

Non-Euclidean geometry Axioms of Continuity and Parallelism Show that the sum of the interior angles of a triangle is congruent to two right angles. Please be as clear as possible. Use definitions and show every steps in the proof. Thank you

Example 3 Choosing a Congruence Postulate to Use Decide whether enough information is given in the diagram to prove that AWYZ = AZXW. If there is enough information, state the congruence postulate you would use. W Solution Paragraph Proof The marks on the diagram show that By the Alternate Interior Angles . By the Reflexive Property of and Postulate, Congruence, angle of AWYZ are congruent to the corresponding two sides and included angle of AZXW, you can use the Because two sides and the included to prove that the triangles are congruent.

Draw line FR intersected by ray PL at point U

Which angle is congruent to angle 3?   <1   <2   <3   <4

THE PYTHAGOREAN THEOREM • In a right triangle, the two sides adjacent to the right angle are known as the or Click to add text and RIGHT TRIANGLES • The side opposite from the right angle is called the or • The hypotenuse is always the side of a right triangle. • The Pythagorean theorem tells us how the lengths of triangles are related. PYTHAGOREAN • In any right triangle, the of the hypotenuse is equal to the THEOREM of the other two sides. More simply stated, we sum of the can use the formula: ...........

If n represents any integer, then an expression representing all angles coterminal with 120° is 120° + If n represents any integer, then an expression representing all angles coterminal with 120° is 120° + (Type an equation using n as the variable.)