Mathematics, 27.09.2019 16:50, axleon11

Which statements are true about the reflectional symmetry of a regular heptagon? check all that apply. it has only 1 line of reflectional symmetry. a line of symmetry will connect 2 vertices. a line of symmetry will connect a vertex and a midpoint of an opposite side. it has 7-fold symmetry. a line of symmetry will connect the midpoints of 2 opposite sides.

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Answers

The correct answers are:
a line of symmetry will connect a vertex and a midpoint of an opposite side
it has 7-fold symmetry.

Explanation:
A line of symmetry is a line that we can use to "fold" a figure in half. In order to do this, we will "fold" the figure from a vertex to the middle of the side opposite the vertex.
Since there are 7 vertices, there will be 7 lines of reflection.

answered: dchannakhone84

A line of symmetry will connect a vertex and a mid point of an opposite side, it has 7 fold symmetry.

Step-by-step explanation:

When the figure can be folded over onto itself along a line. This line is called the "line of symmetry" and this exists for the rotational symmetry.

If we connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, we will obtain two equal halves.

Also, a heptagon has seven vertices, therefore it has 7 fold symmetry.

answered: Guest

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answered: Guest

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

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