Complete the statements about the figures shown in the graph.
2 answers:
Answer:
Quadrilateral ABCD reflect across x-axis to form quadrilateral A′B′C′D′.
Quadrilateral ABCD translate 7 units left and 1 unit down to form quadrilateral A'′B'′C′'D′'.
Step-by-step explanation:
From the given figure it is clear that the vertices of ABCD are A(3,4), B(4,3), C(5,1) and D(1,2).
The vertices of A'B'C'D' are A'(3,-4), B'(4,-3), C'(5,-1) and D'(1,-2).
The relation between ABCD and A'B'C'D' is defined by rule
Therefore, the quadrilateral ABCD reflect across x-axis to form quadrilateral A′B′C′D′.
The vertices of A''B''C''D'' are A''(-4,3), B''(-3,2), C''(-2,0) and D''(-6,1).
The relation between ABCD and A''B''C''D'' is defined by rule
Therefore, the quadrilateral ABCD translate 7 units left and 1 unit down to form quadrilateral A'′B'′C′'D′'.
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A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)