Select all the true statements.


A Dilations always increase the length ofline segments.


B. Dilations take perpendicular lines to perpendicular lines.


C. Dilations of an angle are congruent to the original angle.


D. Dilations increase the measure of angles.


E. Dilations of a triangle are congruent to the original triangle.


F. Dilations of a triangle are similar to the original triangle,

Respuesta :

Answer:

B,C are right

Step-by-step explanation:

given are four statements about dilation and we have to select the ones which are true.

A dilation is a geometric transformation which keeps the shape of the image but changes the size.

If the image is larger than original, we say it is enlargement and here the scale factor would be greater than 1.

If the image is smaller than original then it is shrink, and scale factor would be <1.

If scale factor =1, we get congruent image.

Hence we have

B. Dilations take perpendicular lines to perpendicular lines.

C. Dilations of an angle are congruent to the original angle.

are only true.

A is wrong because sometimes reduces,  D is wrong because shape or angle would not change.

E is wrong because only similar but not congruent.

B. Dilations take perpendicular lines to perpendicular lines since it preserves orientation.

C. Dilations of an angle are congruent to the original angle.

F. Dilations of a triangle are similar to the original triangle.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in size of an object by a factor k. If k > 1, it is an enlargement but if k < 1, it is a decrease. Dilation preserves the orientation of an object  but changes the size.

A. Dilation either increase or decrease the line segment.

B. Dilations take perpendicular lines to perpendicular lines since it preserves orientation.

C. Dilations of an angle are congruent to the original angle.

D. Dilations does not increase the measure of angles.

E. Dilations of a triangle are not congruent to the original triangle but similar.

F. Dilations of a triangle are similar to the original triangle.

Find out more at: https://brainly.com/question/13176891

ACCESS MORE