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devlian [24]
3 years ago
11

CAN SOMEONE HELP ME PLEASE ILL GIVE BRAINLEST..I need step to step equation thanks​

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

Answer:

The required co-ordinate is (-2, -5).

Step-by-step explanation:

For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be: $ R_{y = k} = (x, 2k - y) $.

Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:

$ R_{y = 1} (-2, 7) = (-2, 2(1) - 7) $

= (-2, -5)

The reflected point is (-2, -5).

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Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138° .
mr_godi [17]

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°

Solution:

Line \overrightarrow{A C} \text { and } \overrightarrow{B D} intersect at a point W.

Given m \angle D W C=138^{\circ}.

<em>Vertical angle theorem:</em>

<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>

<u>To find the measure of all the angles:</u>

∠AWB and ∠DWC are vertically opposite angles.

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