From Math Nation - Practice Book Congruence and Similarity - pages 87 to 90
Congruence
Question 1
Consider the polygons below.
Polygon 1
Polygon 2 Polygon 3
Polygon 4
Determine if any of the following listed pairs are congruent. Select all that
apply.
Polygon 1 and Polygon 2
Polygon 1 and Polygon 3
Polygon 1 and Polygon 4
Corresponding sides of Polygon 1 and sides of Polygon 2
Corresponding sides of Polygon 1 and sides of Polygon 4
Corresponding angles of Polygon 1 and Polygon 3
Corresponding angles of Polygon 1 and Polygon 4
Question 2

Step-by-step explanation:

Polygon 1 and Polygon 4 are congruent

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0