order to prove alternate Interlor angles theorem. 14 4 u || 1 DRAG & DROP THE ANSWER 22 26 Given 24 2 Ifthe li nasarn.narallel thenthe nltnenate intar 29 LEFT NEXT

What is the distance between each set of locations? Using Pythagorean theorem

If ū0, then (select all that apply) O and are not perpendicular O the angle between u and v is acute (less than 90 degrees) if u. V > 0. O the angle between u and v is obtuse. (greater than 90 degrees) if u <0. V O and must lie in the same direction

ometry of N and M, not s line equals M. is unique. el to L through ed ASA ("angle shown in Fig- least one side y between L e point where etermined by But then an ence Land assumption that there is d M are in ollow from clid's par- it, so the , there is om," af- book in it does en need ate in- n such mply gle, 2.1 The parallel axiom To prove this property, draw a line L through one vertex of the trian- gle, parallel to the opposite side, as shown in Figure 2.3. L a a В Deduce from only for n = 3,4,6. Y 23 Y Figure 2.3: The angle sum of a triangle Then the angle on the left beneath L is alternate to the angle a in the triangle, so it is equal to a. Similarly, the angle on the right beneath Lis equal to y. But then the straight angle л beneath Lequals a+B+y, the angle sum of the triangle. Exercises The triangle is the most important polygon, because any polygon can be built from triangles. For example, the angle sum of any quadrilateral (polygon with four sides) can be worked out by…