Which of the following is not true about lines of symmetry?

Mathematics

2 answers:

sveta [45]3 years ago

6 0

Answer:

C isn't true

Step-by-step explanation:

taurus [48]3 years ago

5 0

The statement that is untrue about lines of symmetry is C. A line of symmetry is a vertical line through the middle of a figure.

While this is one example of a line of symmetry, the line doesn’t have to be vertical every time. As stated in answer choice B, lines of symmetry can come from any direction, as long as it evenly splits the figure. This can be vertical, horizontal, and/or diagonal.

I hope this helps. :)

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HELP LOOK AT THE SCREENSHOT Find the value of x. (SHOW WORK)

Vanyuwa [196]

Answer: x = 2

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Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

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Now let's solve for x

6x-10 = 3x-4

6x-3x = -4+10

3x = 6

x = 6/3