The reflection of BC over I is shown below.
<h3>
What is reflection?</h3>
- A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is known as the reflection's axis (in dimension 2) or plane (in dimension 3).
- A figure's mirror image in the axis or plane of reflection is its image by reflection.
See the attached figure for a better explanation:
1. By the unique line postulate, you can draw only one line segment: BC
- Since only one line can be drawn between two distinct points.
2. Using the definition of reflection, reflect BC over l.
- To find the line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and A is the image of B.
- Definition of reflection says the figure about a line is transformed to form the mirror image.
- Now, the CD is the perpendicular bisector of AB so A and B are equidistant from D forming a mirror image of each other.
4. Since reflections preserve length, AC = BC
- In Reflection the figure is transformed to form a mirror image.
- Hence the length will be preserved in case of reflection.
Therefore, the reflection of BC over I is shown.
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The question you are looking for is here:
C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.

now, the first one, on the far-left.... can't see the height.. but I gather you do, now as far as its Base area, well, the bottom is just a 12x12 square, so the area of its base is just 12*12
now, the middle pyramid, has a height of 6, the base is also a square, 8x8, so the Base area is just 8*8
now the last one on the far-right
has a height of 8, the Base is a Hexagon, with sides of 6
Answer:
C
Step-by-step explanation:
36 is must be added to the expression x² + 12x to make it
perfect-square trinomial
Step-by-step explanation:
The perfect-square trinomial x² + 2ax + a² = (x + a)², then
1. The first term in the trinomial is square the 1st term in the bracket
2. The middle term in the trinomial is the product of 1st , 2nd
terms of the bracket and 2
3. The 3rd term in the trinomial is square the 2nd term in the bracket
∵ The expression is x² + 12x
∵ We must add the 3rd term which make it perfect-square trinomial
- Divide 12x by 2 to find the product of the 1st term and 2nd term
in the bracket
∵ 12x ÷ 2 = 6x
∴ The 1st term is x and the 2nd term is 6 of the bracket
∵ The 3rd term in the trinomial is square the 2nd term in the bracket
∴ The 3rd term in the trinomial is 6² = 36
∴ x² + 12x + 36 = (x + 6)²
36 is must be added to the expression x² + 12x to make it
perfect-square trinomial
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