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Which transformations will produce similar but not congruent figures?

Answer Expert Verified The type of transformation that will produce a similar, but not congruent figure is a dilation. A dilation is a transformation , with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P’.

Which sequence of transformations would result in a figure that is similar but not congruent to the original figure?

Explanation: A dilation shrinks or stretches a figure. This means it creates a figure that is similar to, but not congruent to, the original figure. All of the figures with dilations will be similar but not congruent to the original figure.

What transformation is not congruent?


Which transformation or sequence of transformations would produce an image that is not congruent to its pre-image?

Which sequence of transformations will result in congruent figures?

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Which combination of transformations can you use to show that one shape is congruent to another?

rotations and translations is your answer.

What are the 3 transformations in rigid motion?

To review, the rigid motions are translations (slides), rotations (spins/turns), and reflections (flips). All of these types of motions occur without changing the shape of the object or figure being moved.

How do you determine if two figures are congruent using transformations?

Determine if the two figures are congruent by using transformations. Reflect the red figure over a vertical line. Even if the reflected figure is translated up and over, it will not match the green figure exactly. The two figures are not congruent.

Can you use transformations to prove that two figures are not congruent?

There is no sequence of rigid transformations that maps △DEF to △LMN. The lawns are not congruent. If the figures are not the same size, there is no rigid motion that can map one of them onto the other. The transformation would need to include a dilation, which is not a rigid motion.

How do you identify congruent figures?

Two polygons are congruent if they are the same size and shape – that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Are a shape and its mirror image congruent?

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object.

Does SSS prove congruence?

Side-Side-Side (SSS) Rule Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

What is AAS congruence rule?

The AAS Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. You do not take the side between those two angles! (If you did, you would be using the ASA Postulate).

What is SSS SAS ASA and AAS congruence?

SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) Two sides and the angle between them are congruent. ASA (angle-side-angle)

What is HYL congruence theorem?

What is Hypotenuse Leg Theorem? The hypotenuse leg theorem is a criterion used to prove whether a given set of right triangles are congruent. The hypotenuse leg (HL) theorem states that; a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

What are the 4 tests of congruence in a triangle?

Two triangles are said to be congruent if and only if we can make one of them superpose on the other to cover it exactly. These four criteria used to test triangle congruence include: Side – Side – Side (SSS), Side – Angle – Side (SAS), Angle – Side – Angle (ASA), and Angle – Angle – Side (AAS).

What does Cpctc mean?

Corresponding Parts of Congruent Triangles are Congruent