 | George Albert Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 304 pages
...1 that is ZAC'B=ZACB. Therefore &ABC and A'B'C' are congruent. § 58 ( Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.) 73. Application. In the lower figure on the opposite page a bridge is shown supported... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...common to both triangles. Therefore A ABM and AC M are congruent. §58 (Two triangles are congruent if two sides and the included angle of one are equal respectively to two aides and the included angle of the other.) Therefore ZB = Z C. §54 64. COROLLARY. If a triangle has... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...AA'B'C'? Are the triangles congruent? Complete the following statement : Two triangles are congruent if two sides and the included angle of one are equal respectively to • • • . 'The statement and formal proof will now be given on page 168. THEOREM. Two SIDES AND... | |
 | Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...of equal figures are equal. THEOREMS 24. If two lines intersect, the vertical angles are equal. 25. Two triangles are equal if two sides and the included...equal respectively to two sides and the included angle of the other. 26. Two triangles are equal if two angles and the included side of one are equal respectively... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...SYMMETRICAL 329. THEOREM XII. Two triangles on the same sphere, or on equal spheres, are equal or symmetrical if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Proof : This is a direct corollary of the theorems §§ 142, 150. 330. Vertical Spherical... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...two adjacent angles of a parallelogram intersect each other at right angles. 79. Two parallelograms are equal if two sides and the included angle of one...equal respectively to two sides and the included angle of the other. 80. The image of an object A seen in a ., plane mirror by the eye at K appears to be... | |
 | Marie Gugle - Mathematics - 1920 - 270 pages
...PROPOSITION I CONGRUENCE OF TRIANGLES Theorem: Two SIDES AND THE INCLUDED ANGLE. Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. С Z Given the triangles ABC and XYZ, with AB equal to XY, AC equal to XZ, and angle... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...of the first. For example, the converse of Theorem 1 is as follows : If two triangles are congruent, two sides and the included angle of one are equal respectively to two sides and the included angle of the other. EXERCISES 18. State the hypotheses of Theorems 1 to 10 inclusive. State the conclusions.... | |
 | Jane Abbott - School children - 1920 - 320 pages
...mother. He chuckled. " You should have heard Don Blacke in geom. class to-day. He got up and said : ' Two triangles are equal if two sides and the included angle of one are equal respectfully to two sides/ and when we all laughed he got sore as a cat !" CHAPTER X THE DEBATE " GYP... | |
 | National Society for the Study of Education - Education - 1920 - 788 pages
...of the rule which has helped us to find the length of this distance which we could not measure is: "Two triangles are equal if two sides and the included angle of one triangle are equal to (complete this statement in your own words). (Second lesson period.) To-day we... | |
| |
Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 
