Congruent Triangles Coloring Activity Dinosaur Answer Key (2024)

FAQs

What makes triangles congruent answer key? ›

When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

The HL Postulate says that if you have two right triangles with the hypotenuse and 1 leg of equal lengths then the triangles are congruent.

SAS congruence theorem states that, if two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle, then the triangles are congruent.

From the basic concepts of triangles we know that the two triangles are said to be congruent if they are of the same shape and size whereas two triangles are said to be similar if they are of the same shape but can be of different sizes.

If all three pairs of corresponding sides are congruent, then the triangles are congruent. If two pairs of corresponding sides and the pair of included angles are congruent, then the triangles are congruent.

The ASA Theorem (angle-side-angle) says that if two angles and the side between them of one triangle are congruent to two angles and the side between of another triangle, then the triangles are congruent. There is no need to check the value of the third angle or the other two sides.

Triangles that have exactly the same size and shape are called congruent triangles. The symbol for congruent is ≅. Two triangles are congruent when the three sides and the three angles of one triangle have the same measurements as three sides and three angles of another triangle.

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal.

Congruent shapes are objects that are both the same shape and exactly the same size. Triangles ABC and DEF in the image above, for example, are congruent because they are both triangles, the respective angles are the same, and the respective sides are the same length.

What makes a triangle congruent? ›

Congruent triangles have both the same shape and the same size. In the figure below, triangles A B C ‍ and D E F ‍ are congruent; they have the same angle measures and the same side lengths. Similar triangles have the same shape, but not necessarily the same size.

SSS refers to the equality of three sides between triangles. AAS refers to the equality between two sides and an angle between triangles. SAS refers to the equality between two sides and an angle (between the sides) between triangles. ASA refers to the equality between two angles and one side between triangles.

Two right-angled triangles are said to be congruent to each other if the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled triangle.

If three sides of one triangle are congruent to three sides of another triangle, then triangles are congruent. Side-Angle-Side (SAS) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.