Mathematics, 28.09.2019 22:30 novesparks

Which of the following is not part of the converse of the triangle proportionality theorem?

a. a perpendicular line to one side of a triangle. b. aa similarity theorem c. two sides divided proportionally. d. a parallel line to one side of a triangle

Answers: 2

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Answers

The correct answer is:

A) A perpendicular line to one side of a triangle.

Explanation:

The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."

The AA similarity theorem is part of this, as we are looking at the ratios of the sides.
Proportionality of the sides is part of this, as it is stated in the converse.
A parallel line to one side of a triangle is part of this, again as it is stated in the converse.

Answer from: Tink2334

Option: A is the answer.

( A. A perpendicular line to one side of a triangle )

Step-by-step explanation:

The converse of proportionality theorem states that:

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

Hence we are asked to find which statement is not a part of the Converse of Triangle Proportionality theorem.

The statement is:

" A perpendicular line to one side of a triangle "

Hence option A is the answer.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31, 0.13, 0.5, 0.04

step-by-step explanation:

ur welcome : )

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Which of the following is not part of the converse of the triangle proportionality theorem?

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