How many faces, edges and vertices does the shape below have?
2 answers:
<h2><u>PENTAGONAL PYRAMID</u></h2><h3>Answer:</h3>
Faces = 6
Edges = 10
Vertices = 6
<h3>Explanation:</h3>A <u>face</u> is any of the flat surfaces of a solid object, meaning that the pentagonal pyramid has got 6 faces in total; 5 triangles, and 1 pentagon (5+1=6)
An <u>edge</u> is a line segment where two faces meet, and they also join each vertex with another. So if we look at the base of the pentagonal pyramid (which is a pentagon) we can see that it has got 5 edges, and then, when we look at the edges that connect the triangles with eachother, there are 5 more edges, so 5+5=10.
A <u>vertex</u> is where two or more line segments (edges) meet. The base (pentagon) has 5 vertices, and at the top, where the 5 triangles' edges connect, there is another vertex (just 1). So 5+1=6.
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Answer:
It is given that , In ΔW X Y, Y X is perpendicular to W Z. Also, y w= w z.
To Prove: ΔW X Y ≅ ΔZ Y X
Proof:
In Δ W X Y and Z Y X
Y X ⊥ W Z→→→→Given
Y W= Y Z→→(Given)
∠YWX=∠YZX→→As, opposite sides of a triangle are equal, so angle opposite to them are equal.
∠YXW=∠YXZ→→Each being 90°
So, ΔYXW≅ΔYXZ→→[AAS]
Also, YX is common sides between two triangles.
ΔYXW≅ΔYXZ→→[HL]
So,the two triangles can be proved congruent by either AAS, or HL.
