Check the coordinates of the given points in each of the given possible answer functions (2, –21) and (5, –45), until you find the function satisfied by these two points.
Do these points satisfy the equation y = –8x – 5? Substitute 2 for x and -21 for y and determine whether or not the resulting equation is true:
-21 = -(2) - 5 This is false, and we can state that confidentally even
without checking whether the other given point is a solution.
Moving on to the next equation y = –8x + 5:
Is -21 = -8(2) + 5? Is -21 = -16 + 5? Is -21 = -11? No. Move on to the next equation: y = 8x – 5. Is -21 = 8(2) -5 true? No. Move on to the next equation:
y = 8x+ 5 Is -21 = 8(2) + 5? No.
It appears that the given points (2,-21) and (-5,-45) are not solutions of any of the four given equations.
<em>Two </em>or <u>more</u> triangles are said to be congruent if and only if they have <u>equal</u> lengths of <em>sides</em> and <u>equal</u> measures of <em>angles</em>.
Thus, the required <u>proof</u> is as shown below:
<u>STATEMENTS </u> <u>REASONS</u>
1. ΔABC and ΔDEC with AB ≅ DE;
BC ≅ EC; <1 ≅ <2 Given
2. <1 and < ABC; < 2 and <DEC are sup <u>Sum</u> of angles on a <em>straight </em>line
3. <ABC ≅ <DEC <em>Congruent</em> angles of <u>similar</u> triangles
4. ∴ΔABC ≅ ΔDEC <em>Side-Angle-Side</em> (SAS) postulate
5. ∴<ACB ≅ <DCE CPCTC postulate
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1675117
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