 | William James Milne - 1899 - 258 σελίδες
...interior angles. How do the angles of any pair compare in size ? Theorem. If two parallel straight lines are cut by a transversal, the alternate interior angles are equal. /E Data: Any two parallel straight lines, as AB and CD, cut by a trans- Aversal, as EF, in the points... | |
 | William James Milne - 1899 - 404 σελίδες
...interior angles. How do the angles of any pair compare in size ? ~ Theorem,. If two parallel straight lines are cut by a transversal, the alternate interior angles are equal. Data: Any two parallel straight lines, as AB and CD, cut by a trans- Aversal, as EF, in the points... | |
 | 1904 - 938 σελίδες
...point in the perpendicular to the extremities of the line are equal. 4. Demonstrate: If two parallel lines are cut by a transversal the alternate Interior angles are equal. 5. Demonstrate: The sum of the interior angles of any convex polygon is equal to twice as many right... | |
 | Fletcher Durell - 1904 - 382 σελίδες
...toincides with• CF, to which PQ is _L). PROPOSITION }£fy&. THEOREM 124. // two parallel straight lines are cut by a transversal, the alternate interior angles are equal. H Given the || lines AB and CD cut by the transversal PQ at the points G and E respectively. To prove... | |
 | 1911 - 946 σελίδες
...alternate interior angles are equal if, and only if, those two lines are parallel. [Half of Dl, 2.1 When two lines are cut by a transversal, the alternate interior angles are unequal, if nnd ouly if, the lines are not parallel. (Synonymous to 1.) 2. When two lines are cut by... | |
 | George Clinton Shutts - 1905 - 260 σελίδες
...How are AB and CD related ? Why ? § 102. Therefore — PROPOSITION XXI. in. Theorem. If two parallel lines are cut by a transversal, the alternate interior angles are equal. MC /E -R NB D Let MR and NP represent two parallel lines cut by the transversal AB. Suggestion 1. Through... | |
 | Elmer Adelbert Lyman - 1908 - 364 σελίδες
...straight lines parallel to a third straight line are parallel to each other. 153. If two parallel straight lines are cut by a transversal, the alternate interior angles are equal. 154. Corollary 1. If two parallel straight lines are cut by a transversal, any pair of corresponding... | |
 | Ernst Rudolph Breslich - 1909 - 402 σελίδες
...the same line are parallel. 6. Two lines parallel to the same line are parallel. 7. If two parallel lines are cut by a transversal the alternate interior angles are equal, the corresponding angles are equal, and the interior angles on the same side are supplementary. 8.... | |
 | Webster Wells - 1909 - 154 σελίδες
...Then BE II D'F. § 364. 6. In A BEO and A OFD1, BO = OD'. By 3. 7. Z QBE = Z OD'F. (If two parallel lines are cut by a transversal, the alternate interior angles are equal.) § 75. 8. ZEOB = ^D'OF. (If two straight lines intersect, the vertical angles are equal.) § 44. 9.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 304 σελίδες
...forever remain an axiom unless some other equivalent proposition is assumed. 97. THEOREM. // two parallel lines are cut by a transversal, the alternate interior angles are equal. Given /t II /2 and cut by t. To prove that Z 1 = Z 2. Proof: Suppose Z 2 not equal to Z 1. Through... | |
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If two parallel lines are cut by a transversal, the alternate interior angles are equal. 
