Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Parallel and Perpendicular Planes

Q1:

and are two parallel planes, and , , and are drawn to intersect the plane at the points , , and , respectively, and the plane at the points , , and , respectively, where the point doesn’t belong to any of the planes. Given that , , , and , determine the area of the .

Q2:

𝑋 and π‘Œ are two parallel planes, where 𝐴 is a point between the two planes. Two straight lines are drawn from the point 𝐴 such that one intersects the planes 𝑋 and π‘Œ at points 𝐡 and 𝐢 respectively, and the other intersects the planes 𝑋 and π‘Œ at points 𝐷 and 𝐻 respectively. If 𝐴 𝐡 𝐴 𝐢 = 1 3 and the surface area of β–³ 𝐴 𝐻 𝐢 = 4 5 0 c m 2 , find the surface area of β–³ 𝐴 𝐡 𝐷 .

  • A 300 cm2
  • B 150 cm2
  • C 1 350 cm2
  • D 50 cm2