Question 2 (matching worth 10 points) (08.05 lc) match    term    definition triangle                  a) perpendicular cross section of a cylinder rectangle              b) perpendicular cross section of a pyramid circle                    c) shape created when a right triangle is rotated about the y-axis cylinder                d) parallel cross section of a sphere

Part A) Rectangle

Part B) Triangle

Part C) Cone

Part D) Circle

Step-by-step explanation:

Part A) Perpendicular cross section of a cylinder

The perpendicular cross section of a cylinder is a rectangle

The base of the rectangle is equal top the diameter of the circular base of cylinder and the height of the rectangle is equal to the height of the cylinder

Part B) Perpendicular cross section of a pyramid

Cross sections perpendicular to the base and through the vertex of a pyramid will be triangles

Part C) Shape created when a right triangle is rotated about the y-axis

When a right triangle is rotated about the y-axis, then it forms a cone.

The vertical leg of the triangle becomes the height of the cone.

The horizontal leg of the triangle becomes the radius of the cone.

The hypotenuse of the triangle becomes the slant height

Part D) Parallel cross section of a sphere

The parallel cross section of a sphere is a circle

All cross sections of a sphere are circles

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

44

step-by-step explanation:

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