Chapter 7

Question 1

84 AA~ thrm

Answer 1

if 2 angles of one triangle are congruent to 2 angles of another, then the triangles are ~

Question 2

85 SSS~ thrm

Answer 2

if the corresponding sides of 2 triangles are proportional, then the triangles are ~

Question 3

86 SAS~ thrm

Answer 3

if 2 pairs of sides between 2 triangles are proportional, and the angle between them is congruent, then the triangles are ~

Question 4

87 altitude to the hypotenuse of a right triangle

Answer 4

the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are ~ to the original triangle and to each other

Question 5

88 corollary 1 to geometric mean

Answer 5

the length of the altitude to thee hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse

Question 6

89 corollary 2 to geometric mean

Answer 6

the altitude to the hypotenuse of a right triangle divides the hypotenuse in such a way that the length of the lengths is a square root of the product of the hypotenuse and adjacent segment

Question 7

90 triangle midsegment thrm

Answer 7

if a segment joins the midpoints of 2 sides of a triangle, then the segment is ll to the 3rd side and 1/2 as long

Question 8

91 side-splitter thrm

Answer 8

if a line is ll to one side of a triangle and intersects the other 2 sides, then it divides those 2 sides proportionally

Question 9

92 corollary to the side-splitter thrm

Answer 9

if 3 ll lines intersect 2 transversals, then the segments intercepted on the transversal are proportional

Question 10

93 triangle angle bisector thrm

Answer 10

if a ray bisects an angle of a triangle, then it divides the opp side into 2 segments that are proportional to the other 2 sides of the triangle