by just looking at the shape mostly all the time it will be obvious
A parallelogram is a quadrilateral (four-sided figure) in which both pairs of opposite sides are parallel. You can check for that, specifically. As an alternative, you can check for any of the following conditions: * Opposite angles are congruent * Opposite sides are congruent
If triangles ABC and DEF are congruent (ABC ≅ DEF), then corresponding parts of the triangles are congruent by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). This means that segments AB ≅ DE, BC ≅ EF, and AC ≅ DF, as well as angles ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F. All these congruences must be true if the triangles are indeed congruent.
To determine if triangles ABC and DEF are similar, you would need to check for corresponding angles being congruent or the sides being in proportion. If the angles are congruent (Angle-Angle Postulate) or the sides are in proportion (Side-Side-Side or Side-Angle-Side similarity theorems), then triangles ABC and DEF are similar. Please provide more specific information about the triangles to identify the applicable postulate or theorem.
If two triangles are congruent, the following statements must be true: their corresponding sides are equal in length, and their corresponding angles are equal in measure. Additionally, the triangles can be superimposed on each other, meaning they occupy the same space when aligned. This congruence indicates that all geometric properties of the triangles are identical.
To determine which congruences are true by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we need specific information about the triangles involved. If triangles ABC and DEF are congruent, then corresponding sides and angles, such as AB ≅ DE, BC ≅ EF, AC ≅ DF, and ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F, would all hold true. Please provide more details about the triangles or congruences in question for a precise answer.
A parallelogram is a quadrilateral (four-sided figure) in which both pairs of opposite sides are parallel. You can check for that, specifically. As an alternative, you can check for any of the following conditions: * Opposite angles are congruent * Opposite sides are congruent
Only a right pentagon can tile and tesselate; an irregular pentagon cannot. All five internal angles of a right pentagon are 108o, and all five sides are of equal length.Previous answers:No.The angles don't allow for it.Not being totally contrary but yes they can check this website outhttp:/burtleburtle.net/bob/tile/pentagon.html
If triangles ABC and DEF are congruent (ABC ≅ DEF), then corresponding parts of the triangles are congruent by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). This means that segments AB ≅ DE, BC ≅ EF, and AC ≅ DF, as well as angles ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F. All these congruences must be true if the triangles are indeed congruent.
To determine if triangle ABC is congruent to triangle XYZ, we need to compare their corresponding sides and angles. If all three sides of triangle ABC are equal in length to the corresponding sides of triangle XYZ, and all three angles of triangle ABC are equal in measure to the corresponding angles of triangle XYZ, then the triangles are congruent by the Side-Side-Side (SSS) congruence criterion. If not, we can check for congruence using other criteria such as Side-Angle-Side (SAS) or Angle-Side-Angle (ASA).
For a regular polygon, all sides are equal, and all interior angles are equal.Take any two angles, add them: 108+108=216A circle always has a total of 360 degrees.Subtract the sum of the two angles from 360: 360-216=144The sum of remaining angles must total 144.It takes two sides to form an angle, therefore we divide by 2: 144/2=72Now we divide the circle by 72: 360/72=5 sides.We see it is a pentagon. The sum of the angles in a pentagon is always 540.Therefore we can check our work: 540/5=108 (our original known angle!)
To determine if triangles ABC and DEF are similar, you would need to check for corresponding angles being congruent or the sides being in proportion. If the angles are congruent (Angle-Angle Postulate) or the sides are in proportion (Side-Side-Side or Side-Angle-Side similarity theorems), then triangles ABC and DEF are similar. Please provide more specific information about the triangles to identify the applicable postulate or theorem.
If two triangles are congruent, the following statements must be true: their corresponding sides are equal in length, and their corresponding angles are equal in measure. Additionally, the triangles can be superimposed on each other, meaning they occupy the same space when aligned. This congruence indicates that all geometric properties of the triangles are identical.
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which pairs of angles in the figure below are vertical angles
6, 10, 6That's an interesting question!This solid has a base which is a pentagon, and an edge rising from each vertex of the pentagon to meet at a single point.Faces: 1: the pentagon, and 5 slanting = 6Edges: 5 on the pentagon and five rising = 10Vertices: 5 on the pentagon and 1 at the top = 6.You can check this answer using Euler's formula. In any polyhedron, F+V-E = 2.In the pentagonal pyramid, 6+6-10=2. Check!
A transversal is simply a line that crosses through 2 other lines. When through to parallel lines, it creates series of congruent and supplementary angles. http://www.mathopenref.com/transversal.html Check this site for a good explanation and a interactive activity to better explain. Hope this helps! ~Becca
ISN and TSW TSN and ISW