By Daniel Tell Sigley; W T Stratton

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**Example text**

13. a = It", B = 45°, 0 = 45°. 14. a = 2", b = 3", c = 4". 15. a = 4", b = 4", c = 5*. 16. c = 4", a = 3", A = 56°. 17. b = 3", c = 3", 0 = 45°. IS. If each of the sides of a given triangle is divided by two and is used as the side of a second triangle, are the angles of the second triangle half as large as those of the original triangle~ Construct the triangle and measure the angles to check your answer. 14,' Basic Geometric Constructions. line segment. GIVEN: Line segment AB. To LOCATE: The mid-point of AB.

The other. 1 II. 1 , ~ z". la ---=-A"t-'----------ll - -__ 13 ----------- I. 1 to z". Using the method of proof of reductio ad absurdum, we assume that (b) holds, that is, l3 is not perpendicular to 12 • Denote the line, in the plane of II and la, parallel to II through B by I.. Then I. " II - Theorem 8 12 II 11 - Given. 42 PARALLEL AND PERPENDICULAR LINES On the basis of the assumption that 12 is not perpendicular to 13 there exist two lines through the point B each parallel to II, which violates the parallel postulate (Postulate 8).

13. a = It", B = 45°, 0 = 45°. 14. a = 2", b = 3", c = 4". 15. a = 4", b = 4", c = 5*. 16. c = 4", a = 3", A = 56°. 17. b = 3", c = 3", 0 = 45°. IS. If each of the sides of a given triangle is divided by two and is used as the side of a second triangle, are the angles of the second triangle half as large as those of the original triangle~ Construct the triangle and measure the angles to check your answer. 14,' Basic Geometric Constructions. line segment. GIVEN: Line segment AB. To LOCATE: The mid-point of AB.

### Plane geometry by Daniel Tell Sigley; W T Stratton

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