5
practice testMultiple Choice

Practice Test

Question 5 • MASTER COURSE Geometry

Which statements about the octagon are true? Choose two correct answers.

Answer
A
The length of segment WZ is 20 cm.
B
The length of segment XY can be found by solving for A in 20 squared minus 7 point 6 5 squared is equal to A squared .
C
The length of segment YZ is 15 point 3 cm.
D
The measure of the angle formed by the radius and the apothem is 30 degrees .
E
The measure of the central angle, angle ZXW , is 45 degrees .

Explanation

The radius, apothem, and half of a side form a right triangle. Using a radius of 20 cm and a half-side of 7.65 cm, the apothem XY is found from 20² − 7.65² = XY², so statement A is true. A regular octagon has 8 equal central angles, so angle ZXW measures 360° ÷ 8 = 45°, making statement C true.

AI-written and checked against the verified answer.

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