Which of the following best describes the quality that allows a design to appear the same when it is reflected over an axis lying in its plane? a. equality b. reflectional symmetry c. congruency d. rotational symmetry

Answer with explanation:

⇒When a design or geometrical shape is reflected over Axis, which is lying in two Dimensional plane,the two, Pre-image that is geometrical shape before reflection and geometrical shape called Image after reflection , they both are congruent to each other.The Line through  which the two,Image and Pre Image , are congruent in the plane, is called "Line of Reflection".

⇒When Reflection through a line takes place, corresponding Sides of two designs are congruent,means equal, and the Corresponding interior Angles of two designs are also Congruent.

Option C:⇒ Congruency

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.