The Last Project Geometry

A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three dimensional object below is generated by this rotation?

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• 4

Using the information given below, which set of triangles can not be proven similar?

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• 4

A company is creating an object from a wooden cube with an edge length of 8.5 cm. A right circular cone with a diameter of 8 cm and an altitude of 8 cm will be cut out of the cube. Which expression represents the volume of the remaining wood?

• (8.5)3 - π(8)2(8)

• (8.5)3 - π(4)2(8)

• (8.5)^3 - 1/3 π(4)^2(8)

• (8.5)^3 - 1/3 π(8)^2(8)

Two right triangles must be congruent if

• an acute angle in each triangle is congruent

• the areas are equal

• the corresponding legs are congruent

• the lengths of the hypotenuses are equal

Which sequence of transformations will map ▵ABC onto ▵A'B'C'?

• Rotation and Reflection

• Reflection and Translation

• Dilation and Translation

• Dilation and Rotation

In parallelogram ABCD, diagonals AC and BD intersect at E. Which statement does not prove parallelogram ABCD is a rhombus?

• AB ≅ BC

• AC ⊥ DB

• AC bisects ∠DCB

• AC ≅ DB

• ∠BAC ≅ ∠BOC

• m∠BAC = 1/2m∠BOC

• ΔBAC and ΔBOC are isoceles

• The area of ΔBAC is twice the area of ΔBOC

A 20-foot support post leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far up the wall will the support post reach?

• 6.8

• 18.7

• 6.9

• 18.8

If SU = h, UT = 12, and RT = 42, which value of h will make ΔRST a right triangle with ∠RST as a right angle?

• 6√3

• 6√10

• 6√14

• 6√35

Which statement is always true?

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