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Triangles ΔBAC and ΔCED are similar by the Angle-Angle (AA) criterion if they have two corresponding angles that are equal. Since both triangles have ∠BAC and ∠CED equal to 17 degrees, and if the other angles of the triangles are also equal, then the triangles are similar. However, if only one angle is given (17 degrees), we cannot definitively conclude similarity without information about the other angles.

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4d ago

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What criteria would show that two triangles are similar?

Two triangles are similar if they meet one of the following criteria: (1) the corresponding angles of the triangles are equal (Angle-Angle or AA criterion), (2) the lengths of corresponding sides are proportional (Side-Side-Side or SSS criterion), or (3) two sides of one triangle are proportional to two sides of the other triangle, and the included angles are equal (Side-Angle-Side or SAS criterion). These conditions ensure that the triangles have the same shape, though they may differ in size.


What do you call two triangles with proportional sides?

They are said to be similar but not congruent triangles.


How do you know when two triangles are similar?

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion. This can be established using the Angle-Angle (AA) similarity criterion, where if two angles in one triangle are congruent to two angles in another triangle, the triangles are similar. Alternatively, the Side-Angle-Side (SAS) and Side-Side-Side (SSS) criteria can also confirm similarity based on proportional side lengths.


What is the term used for the Triangles whose corresponding angles are equal?

They are similar triangles.


Which postulate identifies these triangles as being simliar?

To determine if triangles are similar, we typically use the Angle-Angle (AA) postulate, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. Additionally, the Side-Angle-Side (SAS) similarity postulate and the Side-Side-Side (SSS) similarity postulate can also be used, but AA is the most common and straightforward criterion.

Related Questions

What criteria would show that two triangles are similar?

Two triangles are similar if they meet one of the following criteria: (1) the corresponding angles of the triangles are equal (Angle-Angle or AA criterion), (2) the lengths of corresponding sides are proportional (Side-Side-Side or SSS criterion), or (3) two sides of one triangle are proportional to two sides of the other triangle, and the included angles are equal (Side-Angle-Side or SAS criterion). These conditions ensure that the triangles have the same shape, though they may differ in size.


What do you call two triangles with proportional sides?

They are said to be similar but not congruent triangles.


How do you know when two triangles are similar?

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion. This can be established using the Angle-Angle (AA) similarity criterion, where if two angles in one triangle are congruent to two angles in another triangle, the triangles are similar. Alternatively, the Side-Angle-Side (SAS) and Side-Side-Side (SSS) criteria can also confirm similarity based on proportional side lengths.


Which pair of triangles must be similar?

Pairs of triangles, in general, do not have to be similar.


What is the term used for the Triangles whose corresponding angles are equal?

They are similar triangles.


Which postulate identifies these triangles as being simliar?

To determine if triangles are similar, we typically use the Angle-Angle (AA) postulate, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. Additionally, the Side-Angle-Side (SAS) similarity postulate and the Side-Side-Side (SSS) similarity postulate can also be used, but AA is the most common and straightforward criterion.


Why are triangles similar?

why triangle are similar


Two equilateral triangles are sometimes similar?

Two equilateral triangles are always similar!


How do the ratios of side lenghts compare for triangles that are not similar?

There are no ratios that can be used for triangles that are not similar.


Are two obtuse triangles always similar?

Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.


How can similar triangles be made into congruent triangles?

dilating them.


Are pairs of congruent triangles can be similar triangles?

no theycan not