Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', w
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<u>Quadrilateral</u> is a family of <em>plane shapes</em> that have four straight sides. Thus the <u>sum</u> of their <em>internal</em> angles is . Examples include rectangle, square, rhombus, trapezium, and kite.
A kite is a <em>plane shape</em> that has its <u>adjacent </u>sides to have <u>equal</u> measures.
The given <u>diagram</u> in the question is a kite that has its <em>specific properties</em> compared to other<u> quadrilaterals</u>.
Thus, the required <em>proof</em> is stated below:
Given: ΔCAV and ΔCEV
Prove that: ΔCAV ≅ ΔCEV
Then,
CE ≅ CA (<u>length</u> of <em>side</em> property of a <u>kite</u>)
EV ≅ AV (<u>length</u> of <u>side</u> property of a <em>kite</em>)
<ACV ≅ <ECV (<u>bisected</u> property of a given <em>angle</em>)
<AVC ≅ <EVC (<u>bisected</u> property of a given <u>angle</u>)
CV is a common side to ΔCAV and ΔCEV
Therefore it can be <em>deduced</em> that;
ΔCAV ≅ ΔCEV (<em>Angle-Angle-Side</em> <u>congruent</u> theorem)
For more clarifications on the properties of a kite, visit: brainly.com/question/2918354
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Hello there!
The question asks us to solve using the substitution method. The equations given are:
We are given a value for y, which is x-8. Substituting into the first equation of the system of equation gives us:
Use the distributive property to help simplify and solve for x
Combine like terms
Add 24 to both sides
Finally, divide both sides by 5
Now, let's use in the equation
to find the value of y
Now, we have the values x=5 and y=-3. Putting these values into an ordered pair gives us the answer (5,-3), which is the last answer choice.
Let me know if you need any clarifications, thanks!
~ Padoru