University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2020
Views:

251

Pages:

2
Author:

StellarSymphony

Solutions 3.1 1. a) isosceles b) scalene c) equilateral 2. a) acute b) obtuse c) right 3. a) right isosceles triangle b) obtuse scalene c) acute equilateral 4. a) 180 - 80 - 50 = 50° b) 180 - 70 - 64 = 46° c) 180 - 53 - 104 = 23° 5. a) 41 + 72 + 67 = 180 ✓ yes, can be drawn b) 40 + 60 + 100 = 200 × no, can't be drawn since greater than 180° c) 100 + 45 + 30 = 175 × no, can't be drawn since less than 180° 6. No, since 90 + 90 is already 180°. 7. a) 180 - 90 - 60 = 30° b) 180 - 54 - 90 = 36° c) 180 - 90 - 45 = 45° 8. a) 180 - 50 = 130 130/2 = 65° b) 180 - 90 = 90 90/2 = 45° c) 180 - 31 - 31 = 118° d) 180 - 66 - 66 = 48 9a) a = 180 - 48 - 35 = 97° a + b = 180 b = 180 - 97 = 83° c = 180 - 83 - 28 = 69° b) d = 180 - 28 - 90 = 62° e = 180 - 54 - 90 = 36° c) f = (180 - 20) / 2 = 80° g = 180 - 80 - 80 = 20° h = (180 - 100) / 2 = 40°