Special Proportional Theorems Triangles

Calculate the value of h in the figure above.

• h = 35.60

• h = 35.00

• h = 35.71

• h = 61.03

Which of the following represents the longer leg of the right triangle above?

• 4

• u

• v

Calculate the value of u and v in the right triangle above.

• u = 8, v = 4√3

• u = 4√2, v = 8

• u = 16, v = 8

• u = 4√3, v = 8

Calculate the values of x and y in the right triangle above.

• x = 6, y = 3√3

• x = 3√2, y = 3

• x = 3√3, y = 6

• x = 3√3, y = 3√2

Triangle Proportionality Theorem states:

• TPT supports full range of geospatial queries.

• A line is parallel to the third side of a triangle when the line divides the sides into congruent segment lengths.

• A line that intersects with two sides of a triangle and is parallel to the third side of a triangle if and only if the line divides the sides into segments of proportional lengths.

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5

• 11

• -5.5

• -11

Find the value of x.

• 6.92

• 18.67

• 2.625

• 13.71

VW is a midsegment of triangle KIJ. What is the length of segment KI?

• -1

• -10

• 18

• 8

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11

• 18

• 9

• -7

Mathematical Equivalence

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