Chapter 7

Question 1

means and extremes

Answer 1

the number b and c a/b = c/d

the number a and d

Question 2

cross product property

Answer 2

In a proportion, the product of the extremes is equal to the product of the means.

Question 3

similar polygons

Answer 3

Two polygons are similar if the corresponding angles are congruent and corresponding side lengths are proportional
ratios of corresponding sides, the image goes on the bottom of the ratio.

Question 4

scale factor

Answer 4

if two polygons are similar, then the ratio of the lengths of two corresponding sides are a ratio, a scale factor

Question 5

Theorem 7.1 “Perimeters of similar polygons”

Answer 5

If two polygons are similar, then the ratio of their perimeter is equal to the ratio of their corresponding side lengths.

Question 6

Postulate 15: “angle angle similarity postulate”

Answer 6

If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar

Question 7

Theorem 7.2 “Side side side similarity theorem”

Answer 7

If the corresponding sides of two triangles are proportional, then the triangle are similar

Question 8

Theorem 7.3 “side angle side similarity theorem”

Answer 8

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides that include these angles are proportional, then the triangles are similar

Question 9

Theorem 7.4 “Triangle proportionality theorem”

Answer 9

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally

Question 10

Theorem 7.5 “Converse o the triangle proportionality theorem”

Answer 10

If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Question 11

mid segment of a triangle

Answer 11

a segment that connects the midpoints of two sides of a triangle

Question 12

Theorem 7.6 “The mid segment theorem”

Answer 12

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long

Question 13

dilation

Answer 13

a transformation with center C and scale factor k that maps each point P to an image point P so that P lies on
C–>P and CP` = k of CP
cp is just an example

Question 14

reduction

Answer 14

if the image is smaller than the original figure

Question 15

enlargement

Answer 15

if the image is larger than the original figure