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FAQs

Which transformation would not always produce an image that would be congruent? ›

The only choice that involves changing the size of a figure is letter a) dilation and as a result, creates two figures that are NOT congruent.

Expert-Verified Answer. After evaluating this expression, you arrive at a perimeter of 72 units. Therefore, the quadrilateral's perimeter is indeed 72 units."

Expert-Verified Answer. To prove that triangle ABE is congruent to triangle CDE, we need to show that all corresponding sides and angles are equal. We can use the side-angle-side (SAS) congruence postulate to establish congruence between the two triangles.

Final answer:

The correct similarity transformation sequence for demonstrating that ∆AEC is similar to ∆DEF involves Translation, followed by Rotation, and capped off with Dilation. Therefore, the correct answer is option b: Translation, Rotation, Dilation.

There are three congruent transformations: reflections, rotations, and translations. Resizing is not a congruence transformation. A reflection is a figure flipped over a line of reflection. A rotation is the turning of a figure.

Some transformations — like reflections, rotations, and translations — preserve congruence. But dilations do not preserve congruence, since a dilation changes the size of a figure.

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

Perimeter of Δ ABC = Length of AB + Length of BC + Length of AC.

How to Find the Perimeter of a Quadrilateral? To find the perimeter of a quadrilateral, we need to add all the lengths of four sides, i.e., the perimeter of ABCD Quadrilateral = sum of lengths of all sides = AB +BC + CD + DA.

We get 3 sides/vertices/angles this is our 3 variables and to get it congruent we need to prove at least 3 sides or combination of sides and angles.

Is AAA a valid reason to prove congruent triangles? ›

In case of a triangle with all respective angles equal i.e. AAA condition, the sides of the triangles may or may not be equal. For two triangles with same respective angles, the congruence will hold true only if those triangles are similar.

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Answer: To prove that triangle ABE is congruent to triangle CBD, we will use the SAS (Side-Angle-Side) Congruence Theorem. This theorem states that if two triangles have two sides and the included angle congruent, then the triangles are congruent.

Answer. The cross section of a regular pyramid containing the altitude is a triangle, as it would cut through the structure revealing a triangular shape perpendicular to its base.

The types of similarity transformation are dilation, reflection, rotation and translation.

Dilation: Dilation transforms a figure by resizing it. The shape of the figure remains the same but the size changes, which creates similar figures (figures with the same shape but different sizes), not congruent ones.

Dilation is a non-rigid transformation, which means that the original and the image are not congruent.

Explanation: In mathematics, a transformation refers to the movement of a figure from one position to another in a plane. The type of transformation that would not produce a congruent image to the original one is called a dilation.

Based on the conditions of the transformations that were mentioned in the previous step, we can conclude that the transformations that would produce an image that is not congruent to its pre-image, is a translation followed by a reflection.