Match the vocabulary word with the correct definition. 1. a mark used in geometry to show that two angles are congruent
corresponds
2. figures that have the same size and shape
arc
3. (or corresponding) angles or sides in the same position on similar figures
similar
4. (or tick mark) a mark used in geometry to show that two line segments are congruent
congruent
5. the ratio of corresponding sides of similar figures
hash mark
6. figures that have the same shape but not necessarily the same size
scale factor

1. corresponding angles

b. these corresponding parts are congruent, given two similar triangles.

2. scale factor

e. the constant by which a figure (or the dimensions of a figure) increases or decreases.

3. proportional

a. corresponding sides of two similar triangles

4. similar polygons

c. figures that have congruent angles and corresponding sides that are proportional to one another.

5. scale drawing

d. a depiction of a real object with accurate sizes except they have all been reduced or enlarged

Step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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step-by-step explanation: