Chapter 8 notes

Question 1

Similarity statements:When two shapes are similar you can write it like:

Answer 1

∆Lmn ~ ∆ QRS

Question 2

Similarity statement: this means, corresponding angles are ____ and corresponding side lengths are ________ by a ____ ______.

Answer 2

Congruent
Proportional
Scale factor

Question 3

Thereom 8.1: perimeters of similar polygons:If 2 polygons are similar, then the ____ of their perimeters is _____ to the ratios of their corresponding side lengths.

Answer 3

Ratio
Equal

Question 4

For 2 figures to be similar, the corresponding angles must be _______ and the corresponding side lengths must be _________.

Answer 4

Congruent
Proportional

Question 5

Them 8.2 areas of similar polygons:

Answer 5

If two polygons are similar, than the ratio of their areas is equal to the squares of the ratios of their corresponding side length.

Question 6

Perimeter: adding all outside lengths

Answer 6

Bxh/2

Question 7

Similar polygons=

Answer 7

Congruent angles

Question 8

The ratios of corresponding sides are

Answer 8

The same

Question 9

Them. 8.3 angles - angle (AA) similarity thrm.: if two angles of one triangle are ________ to two angles of another triangle,the two triangles are ______.

Answer 9

Congruent
Similar

Question 10

Angle - angle similarity thereom: if <A congruent< D and <B congruent<E then,

Answer 10

∆ ABC ~ ∆ DEF

Question 11

Thrm 8.4 sss similarity thereom

Answer 11

If the corresponding side lengths of 2 triangles are proportional then the triangles are similar.

Question 12

Thrm. 8.5 SAS similarity thereom:

Answer 12

If an angle of one triangle is ____&
to an angle of a second triangle and the lengths of the sides including these angles are _______,then The triangle’s are similar.
Congruent
Proportional

Question 13

Thrm. 8.6 triangle proportionality thrm: if a line
____ to one side of a triangle _____ the other two sides, then it ____ the two sides proportionally.

Answer 13

Parallel
Intersect
Divides

Question 14

Thrm. 8.8 three parallel lined thereom: if 3 ____ lines intersect two _____, then they _____ the transversals_______.

Answer 14

Parallel
Transversals
Divide
Proportionally

Question 15

Thrm 8.9 triangle angle bisector thereom: if a ray ____ an angle of a triangle, the it _____ the opposite side into _____ whose lengths are _______ to the lengths of the other two sides.

Answer 15

Bisects
divides
Segment’s
Proportional

Question 16

Whatever number goes up will ____ up

Answer 16

Stay

Question 17

Proportional:

Answer 17

When the ratios of all corresponding sides are the same.

Question 18

Corresponding:

Answer 18

Same position, different location