University:
Cornell University
Course:
MATH 1101 | Calculus Preparation
Academic year:

2020
Views:

66

Pages:

5
Author:

SpaceCadet101

4x + 5 + 9x + 4x + 5 = 180 17x = 170 x = 10 triangle with angles 4x+5, 9x, and 4x+5 Acute, scalene triangle 2. 2x + 2 + 2x + 2 + 3x + 1 = 180 7x = 175 x = 25 triangle with angles 55, y, and 5x+15 Acute, isosceles triangle Find the value(s) of x and y. 3. 55 + y + 5x + 15 = 180 5x + y = 110 triangle with angles 32, 45, and x 4. 180 - 90 - 32 = x x = 58 triangle with angles 36, y, and 10x+9 5. 109 + y = 180 y = 71 10x + 9 + 36 + 71 = 180 10x = 70 x = 10 triangle with angles 60, 60, and m∠1 Find the measure of each of the missing angles. 6. m∠1 m∠1 = 60 7. m∠2 m∠2 = 30 8. m∠3 m∠3 = 60 9. m∠4 m∠4 = 30 10. m∠5 m∠5 = 30 11. m∠6 m∠6 = 30 Write a congruence statement for the two polygons. 12. CDEF ≅ HIJK 13. ΔEBG ≅ ΔDGF 14. ΔXYW ≅ ΔZYW 15. Find the values of x and y. 4x + 2y = 56 -10x - 2y = -68 ------------------ -6x = -12 x = 2 4(2) + 2y = 56 y = 24 Suppose that ∆ABC ≅ ∆DEF, m∠A = 45, m∠F = 55, find m∠B. 45 + 55 + B = 180 m∠B = 80° Given: WX ≅ YZ, Z is the midpoint of WY. Prove: ∆WXZ ≅ ∆YXZ [Image of a triangle with a line segment dividing it into two triangles] Statements Reasons 1. WX ≅ YZ, Z is the midpoint of WY 1. Given 2. WZ ≅ ZY 2. Definition of Midpoint 3. ∠XWZ ≅ ∠YZX 3. Reflexive 4. ∆WXZ ≅ ∆YXZ 4. SSS Decide whether or not there is enough information to prove the two triangles congruent. If so, tell which theorem you would use to 1 do. Yes. HL. No. SSA No. Not enough information. Yes. ASA