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In geometry, congruent sides refer to sides of two or more shapes that are equal in length. When two sides are congruent, they can be superimposed on one another without any gaps or overlaps. Congruent sides are often used to determine the similarity or equality of geometric figures, such as triangles or polygons.
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What does angle angle side mean?
Angle Angle Side is a method one can use to prove that two triangles are congruent. Basically, if any two pairs of angles and the side between these angles are congruent, then the triangles are congruent as well.
If one side of a quadrilateral is congruent can it be always parallelograms be congruent?
One side cannot be congruent: it must be congruent to something!
If ABC DEF which congruences are true by CPCTC Check all that apply.If ABC DEF which congruences are true by CPCTC Check all that apply.?
If triangles ABC and DEF are congruent (ABC ≅ DEF), then by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), the corresponding sides and angles are also congruent. This means that side (AB) is congruent to side (DE), side (BC) is congruent to side (EF), and side (AC) is congruent to side (DF). Additionally, angle (A) is congruent to angle (D), angle (B) is congruent to angle (E), and angle (C) is congruent to angle (F).
What does it mean for 2 triangles to be congruent?
Two triangles are congruent if they have the same shape and size, meaning that all corresponding sides and angles are equal. This can be established through various criteria, such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and others. Congruent triangles can be superimposed onto each other perfectly without any gaps or overlaps.
What else would need to be congruent to show that EFG congruent HIJ by SSS?
To prove that triangles EFG and HIJ are congruent by the Side-Side-Side (SSS) criterion, you would need to show that all three pairs of corresponding sides are congruent. Specifically, you must demonstrate that the lengths of side EF are equal to those of side HI, side FG is equal to side IJ, and side EG is equal to side HJ. Once these three pairs of sides are confirmed to be congruent, the triangles can be concluded as congruent by SSS.
What does side angle side mean?
side angle side means if two sides in their included angle in one triangle are congruent to the corisponding parts of the second triangle then the triangles are congruent so only if they are congruent. i need it for a classs...
What does angle angle side mean?
Angle Angle Side is a method one can use to prove that two triangles are congruent. Basically, if any two pairs of angles and the side between these angles are congruent, then the triangles are congruent as well.
How many congruent sides does a rectangle have?
The top side is congruent to the bottom side, and the left side is congruent to the right side.
If one side of a quadrilateral is congruent can it be always parallelograms be congruent?
One side cannot be congruent: it must be congruent to something!
When two shapes are similar does that mean they have the same amount of sides?
No, it means they have either 2 sides and 1 angle congruent, 2 angles congruent, 2 angles and a side congruent, or 3 sides congruent.
If two triangles have three pairs of congruent angles the the triangle is congruent?
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
Can two scalene triangles not be congruent but have 5 congruent parts?
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
If ABC DEF which congruences are true by CPCTC Check all that apply.If ABC DEF which congruences are true by CPCTC Check all that apply.?
If triangles ABC and DEF are congruent (ABC ≅ DEF), then by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), the corresponding sides and angles are also congruent. This means that side (AB) is congruent to side (DE), side (BC) is congruent to side (EF), and side (AC) is congruent to side (DF). Additionally, angle (A) is congruent to angle (D), angle (B) is congruent to angle (E), and angle (C) is congruent to angle (F).
What does it mean for 2 triangles to be congruent?
Two triangles are congruent if they have the same shape and size, meaning that all corresponding sides and angles are equal. This can be established through various criteria, such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and others. Congruent triangles can be superimposed onto each other perfectly without any gaps or overlaps.
Are all equiangular triangles congruent?
All equiangular triangles are similar, but not congruent. They all have three 60 degree angles. This does not mean that they all have the same side lengths though. Therefore, they are only similar, not congruent.
What else would need to be congruent to show that EFG congruent HIJ by SSS?
To prove that triangles EFG and HIJ are congruent by the Side-Side-Side (SSS) criterion, you would need to show that all three pairs of corresponding sides are congruent. Specifically, you must demonstrate that the lengths of side EF are equal to those of side HI, side FG is equal to side IJ, and side EG is equal to side HJ. Once these three pairs of sides are confirmed to be congruent, the triangles can be concluded as congruent by SSS.
If a triangle has one congruent side then is it a scalene triangle?
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle
