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WorksheetsQ3_QUIZ#4_TRIANGLE PROPOTIONALITY & RIGHT TRIANGLE SIMILARITY_C
Total questions: 10
Worksheet time: 3hrs 30mins
In triangle proportionality theorem states that if a line intersects two sides of a triangle and is parallel to the third side, then it divides the first two sides____________.
proportionally
similarly
perpendicularly
equally
In the converse of the triangle proportionality theorem states that if a line intersects two sides of a triangle and cuts off the two sides proportionally, then the line is __________ to the third side.
parallel
perpendicular
opposite
equal
In Triangle Angle Bisector Theorem (TABT), if a segment bisects an angle of a triangle, then it divides the ____________ side into segments proportional to the other two sides.
opposite
consecutive
parallel
congruent
In a right triangle, the___________ to the hypotenuse divides the triangle into similar triangles, each triangle similar to the given triangle.
altitude
leg
geometric mean
hypotenuse
In a right triangle, the altitude to the hypotenuse is the ________ _________of the segments in the hypotenuse.
altitude
leg opposite
geometric mean
opposite side
In a right triangle, each_______ is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to it.
altitude
leg
geometric mean
opposite side
Refer to the figure. Find the length of the segment a.
Note: segment a is an altitude and the length of the segments of hypotenuse are 16 and 4.
6
7
8
26
Refer to the figure. Find the length of the segment b.
Note: segment b is a leg and the length of the segments of hypotenuse are 16 and 4. And 4 is adjacent to b.
25
45
35
26
Refer to the figure. Find the length of the segment c.
Note: segment c is a leg and the length of the segments of hypotenuse are 16 and 4. And 16 is adjacent to c.
25
45
65
85
Find the geometric mean of 3 and 48.
24
8
12
6
