501 Geometry Questions

Set 59

287. x=  21 .In parallelogram DGHK, opposite sides are congruent,
     so ΔKDJ and ΔGHF are also congruent (Side-Side-Side postulate
     or Side-Angle-Side postulate). Plug the measurements of ΔKDJ
     and ΔGHF into the Pythagorean theorem: (2x)^2 + 4^2 = 10^2.
     4 x^2 + 16 = 100. 4x^2 = 84. x^2 = 21. x=  21 .


288. p= 14 21 + 20.Replace each xwith  21 and add the exterior
     line segments together: 2 21 +  21 + 4 21 + 10 + 2 21 +
     4  21 +  21 + 10 = 14 21 + 20.

Set 60

289. x= 16.The hatch marks indicate that WTand QRare congruent.
     Plug the measurements of ΔSQR into the Pythagorean theorem:
     122 + x^2 = 20^2. 144 + x^2 = 400. x^2 = 256. x= 16.


290. y= 12.Opposite sides of a rectangle are congruent. OQequals the
     sum of WT, TS, and SR. Create the equation: 40 = 16 + y+ 12.
     40 = 28 + y. 12 = y.


291. p= 144.Add the measure of each exterior line segment together:
     40 + 16 + 12 + 12 + 16 + 16 + 16+ 16 = 144

501 Geometry Questions