Answer:
II, III, and IV
Step-by-step explanation:
Define:
Similar polygons:
- Corresponding angles are equal
- Corresponding sides are in a constant proportion
Congruent polygons:
- Corresponding angles are equal
- Corresponding sides are equal
Let's break each statement down one-by-one:
<u>I. Corresponding sides of similar figures are the same.</u>
False - Corresponding sides of similar figures are in a constant proportion, but not necessarily the same. <em>Congruent</em> figures have equal corresponding sides, but similar figures only have their corresponding sides in a constant proportion.
<u>II. Corresponding sides of congruent figures are the same.</u>
True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.
<u>III. Corresponding angles of congruent figures are the same.</u>
True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.
<u>
</u>
<u>IV. Corresponding angles of similar figures are the same.</u>
True - While corresponding sides of similar figures may not be the same, their angles are. This is what gives them the similar characteristic. All similar polygons have equal angles, therefore this statement is true.
Answer:
Step-by-step explanation:
Given
--- the correct equation
Required
Solve
Equate to 0
Expand
Factorize
Factor out z + 3
Split
--- twice
Answer:
The slope of the line = m = 3/4
Step-by-step explanation:
We know that the slope-intercept of line equation is
Here:
Given the equation of line L
Writing the equation in the slope-intercept form
Add -3x to both sides
Divide both sides by -4
Comparing the equation with
Therefore, the slope of the line = m = 3/4
I’m pretty sure it’s 21 feet because the basic triangle base times hight formula is base times hight cut in half. So in this case the base is 7 and hight of 6, if you multiply the base times hight you will get 42 and then divide that by 2 and the answer is 21! Hopefully that was clear enough:)
