Chapter Review 1A PDF

1.4 Extended Notes 𝐿 1. In the figure, line 𝑡 bisects 𝐽𝐿̅ at point K. If 𝐽𝐾 = 2𝑥 + 2, 𝐾𝐿 = 3𝑦 + 3, and 𝐽𝐿 = 4𝑥 + 𝑦 + 1, what are the values of 𝑥 and 𝑦? What are the lengths of ̅̅̅ ̅̅̅̅, and 𝐽𝐿...

1.4 Extended Notes 𝐿 1. In the figure, line 𝑡 bisects 𝐽𝐿̅ at point K. If 𝐽𝐾 = 2𝑥 + 2, 𝐾𝐿 = 3𝑦 + 3, and 𝐽𝐿 = 4𝑥 + 𝑦 + 1, what are the values of 𝑥 and 𝑦? What are the lengths of ̅̅̅ ̅̅̅̅, and 𝐽𝐿 𝐽𝐾 , 𝐾𝐿 ̅? 𝑡 𝐾 𝐽 ̅̅̅̅. If 2. In the figure, 𝑆 is the midpoint of 𝑅𝑇 𝑅 2 𝑅𝑆 = 2𝑥 and 𝑆𝑇 = 7𝑥 + 4, then what is the value of 𝑥? What are the lengths of 𝑅𝑆 ̅̅̅̅, 𝑆𝑇 ̅̅̅̅, ̅̅̅̅? and 𝑅𝑇 𝑆 𝑇 1.5 Extended Notes 3. In the figure, 𝑚∠𝐽𝑂𝐿 = 2𝑥2 − 𝑥 + 15 and 𝑚∠𝐿𝑂𝐾 = 5𝑥 + 5, what is the value of 𝑥? 𝐿 𝐽 𝑂 𝐾 𝐴 4. In the figure, ⃑𝐵⃑𝑋bisects ⃑ ∠𝐴𝐵𝐶. If 𝑚∠𝐴𝐵𝑋 = 6𝑥 + 2, 𝑋 𝑚∠𝑋𝐵𝐶 = 5𝑦 + 2 and 𝑚∠𝐴𝐵𝐶 = 8𝑥 + 4𝑦, then what are the values of 𝑥 and 𝑦? 𝐵 𝐶 1.6 Extended Notes 5. The measure of the supplement of an is 14 less than three times the measure of the complement. Find the measure of the , its compliment, and its supplement. 6. Find 𝑥 and 𝑦 in the following figure. 3x 39 2 x 3 y 68 2 y 60 1.7 Extended Notes 7. Find the coordinates of the missing point given that M is the midpoint of ̅𝐴𝐵 ̅. ̅ 7 12 𝐴 (√40, 8) , 𝑀(√160, 8 ) 8. The length of 𝐴𝐵 = √29, where pt. A has the coordinates (4, −1) and the coordinates of pt. B are (−1, 𝑘). Find 𝑘. (**HINT** There are 2 possible values for 𝑘) 1 Find the area of the shaded region. Assume all angles are right angles. Round your answers to the nearest tenth. 9 cm 3 cm 12 cm 8 cm 4 cm 2 cm 8 cm 9 cm 19 cm 2. The area of the rectangle below is 30 ft 2 , find x. 2x – 1 x+3 3. Find the EXACT perimeter of the triangle with the following coordinates of the vertices. J 3,5 , K 2,5 , L 2, 3 4. Find the perimeter of the following rectangle below. 3x 4 2x 2 y 1 2y 3