en MA Geo Ch 7 Vocab/Post/Thms 16 AA : If 2 angles of one triangle are congruent to two angles of another triangle, then the triangles are similar altitude : The ________________ to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other bisects : If a ray ____________ an angle, then it divides the opposite side into TWO segments that are proportional to the other two sides of the triangle geometric mean : for any two positive numbers (a and b) the _______________ of a and b is the positive number 'x' such that a/x=x/b and x= the square root of a(b) geometric mean : The length of the altitude to the hypotenuse of a right triangle is the ______________ of the lengths of the segments of the hypotenuse. golden: a rectangle that can be divided into a square and rectangle that is similar to the original rectangle indirect : using similar triangles and measurements to find distances that are difficult to measure directly hypotenuse : The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the adjacent hypotenuse segment and the length of the ___________________. parallel : If a line is ____________ to one side of a triangle AND intersects the other two sides, then the parallel line divides those sides proportionally. proportion : a statement that two ratios are equal ratio : a comparison of 2 quantities SAS : If an angle is congruent to the other angle AND the sides including the two angles are PROPORTIONAL(same ratio), then the triangles are similar proportional : If three parallel lines intersect two transversals then the segments intercepted on the transversals are ________________. similar : two polygons are ____________ if and only if corresponding angles are congruent and corresponding sides are in proportion similarity ratio : in similar polygons, the ratio of the lengths of corresponding sides SSS : If the corresponding sides of two triangles are proportional, then triangles are similar

Geo Ch 7 Vocab/Post/Thms

1.	a comparison of 2 quantities	A.	parallel
2.	a rectangle that can be divided into a square and rectangle that is similar to the original rectangle	B.	golden
3.	a statement that two ratios are equal	C.	bisects
4.	for any two positive numbers (a and b) the _______________ of a and b is the positive number 'x' such that a/x=x/b and x= the square root of a(b)	D.	SSS
5.	If 2 angles of one triangle are congruent to two angles of another triangle, then the triangles are similar	E.	SAS
6.	If a line is ____________ to one side of a triangle AND intersects the other two sides, then the parallel line divides those sides proportionally.	F.	similarity ratio
7.	If a ray ____________ an angle, then it divides the opposite side into TWO segments that are proportional to the other two sides of the triangle	G.	proportion
8.	If an angle is congruent to the other angle AND the sides including the two angles are PROPORTIONAL(same ratio), then the triangles are similar	H.	ratio
9.	If the corresponding sides of two triangles are proportional, then triangles are similar	I.	geometric mean
10.	If three parallel lines intersect two transversals then the segments intercepted on the transversals are ________________.	J.	AA
11.	in similar polygons, the ratio of the lengths of corresponding sides	K.	hypotenuse
12.	The ________________ to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other	L.	altitude
13.	The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the adjacent hypotenuse segment and the length of the ___________________.	M.	geometric mean
14.	The length of the altitude to the hypotenuse of a right triangle is the ______________ of the lengths of the segments of the hypotenuse.	N.	proportional
15.	two polygons are ____________ if and only if corresponding angles are congruent and corresponding sides are in proportion	O.	similar
16.	using similar triangles and measurements to find distances that are difficult to measure directly	P.	indirect

Geo Ch 7 Vocab/Post/Thms

1.	a comparison of 2 quantities → H
2.	a rectangle that can be divided into a square and rectangle that is similar to the original rectangle → B
3.	a statement that two ratios are equal → G
4.	for any two positive numbers (a and b) the _______________ of a and b is the positive number 'x' such that a/x=x/b and x= the square root of a(b) → M
5.	If 2 angles of one triangle are congruent to two angles of another triangle, then the triangles are similar → J
6.	If a line is ____________ to one side of a triangle AND intersects the other two sides, then the parallel line divides those sides proportionally. → A
7.	If a ray ____________ an angle, then it divides the opposite side into TWO segments that are proportional to the other two sides of the triangle → C
8.	If an angle is congruent to the other angle AND the sides including the two angles are PROPORTIONAL(same ratio), then the triangles are similar → E
9.	If the corresponding sides of two triangles are proportional, then triangles are similar → D
10.	If three parallel lines intersect two transversals then the segments intercepted on the transversals are ________________. → N
11.	in similar polygons, the ratio of the lengths of corresponding sides → F
12.	The ________________ to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other → L
13.	The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the adjacent hypotenuse segment and the length of the ___________________. → K
14.	The length of the altitude to the hypotenuse of a right triangle is the ______________ of the lengths of the segments of the hypotenuse. → I
15.	two polygons are ____________ if and only if corresponding angles are congruent and corresponding sides are in proportion → O
16.	using similar triangles and measurements to find distances that are difficult to measure directly → P