D is the midpoint of AC, line segment ED is congruent to FD, and angle EDA is congruent to angle FDC. Prove: line segment AB is congruent to line segment CB.

3 An airplane is 1000 km from airport A and 500 km from airport B. The angle between the paths to the two airports is 51°. B 500 km 51° airplane A 1000 km a) How far apart are the two airports, to the nearest kilometer? b) If the airplane only has enough fuel to fly 1438 km and needs to stop at both airports without refueling, which airport should the airplane fly to first? Explain your answer.

4. a) A blue jay, B, is sitting atop of an electrical tower as shown. i) Draw and shade in the angle that would represent the angle of depression of the bluejay as it looks down at an ant, A, on the ground. [T = 1] ii) What is the measure of this angle of depression? [T = 1] b) A pigeon, P is also on the tower as shown. Determine the vertical distance between the two birds (i.e. determine the height of line segment BP). Number your steps for clarity. Round to one decimal place, where needed. P- [T = 3] 40° 25° MathBits.com A 87 feet

Suppose that APQR is isosceles with base QR. Suppose also that m z P= (2x + 56)° and mz Q=(4x+12)°. 7: Find the degree measure of each angle in the triangle. P. (2x + 56). m zP = m zQ = m z R = (4x + 12).