In your question, since it's not specified if the angles or sides are congruent or proportional, we cannot definitively say that FHK is similar to GHJ without this information. Therefore, without additional details suggesting congruence of angles or proportionality of sides, the answer likely is: D. FHK is not similar to GHJ.

Jun 21, 2017 · To find the length of line segment HJ in triangle GHJ, we can use the Pythagorean theorem, which applies to right triangles. The theorem states: a 2 + b 2 = c 2. where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.

Jun 25, 2020 · The rigid transformation required to map Triangle DEF onto Triangle GHJ is a translation. A translation is a transformation that moves every point of a figure the same distance in the same direction. In this case, Triangle DEF is shifted down and to the right to form Triangle GHJ, which can be achieved by a translation.

Apr 24, 2021 · To solve for HB in triangle GHJ, where A, B, and C are midpoints of the sides and given that AC = 3y − 5 and HJ = 4y + 2, we can utilize the properties of midsegments in a triangle. In any triangle, the segment connecting the midpoints of two sides is parallel to the third side and its length is half the length of that side.

Mar 29, 2020 · For instance, if triangle GFE has sides labeled as (x + 6) and triangle GHJ has sides that correspond to fixed lengths, we can use these relationships to solve for x using proportions. This method applies the basic principles of similar triangles.

To compute GHJ's dividends-received deduction, we need to consider the stock interests GHJ holds in each corporation and apply the corresponding deduction percentages. For BP, Incorporated: GHJ holds a 2% stock interest. The deduction percentage for dividends received from a taxable corporation in which GHJ holds less than 20% stock interest is ...

Jun 13, 2021 · Given that the measure of angle GHJ is 5 5 °, we can set up the equation: m ∡ FG H + m ∡ G H J = 18 0 ° Substituting the value for angle GHJ: m ∡ FG H + 5 5 ° = 18 0 ° Next, we isolate angle FGH by subtracting 5 5 ° from both sides of the equation: m ∡ FG H = 18 0 ° − 5 5 ° Now, we perform the subtraction: m ∡ FG H = 12 5 ...

Jun 9, 2021 · Since Triangle DEF is congruent to Triangle GHJ, a combination of translations, rotations, or reflections, but not dilations, can be used to map one onto the other. Given that the SSS theorem implies that all sides are preserved, translating Triangle DEF would simply shift it without altering its size or shape.

Oct 20, 2023 · In the context of your question, Triangles DEF and GHJ are congruent. When triangle DEF has been shifted down and to the right to form triangle GHJ, it is a translation that gets DEF to GHJ. A translation is a rigid type of transformation that maintains the same size, shape, and orientation while shifting it to a new location.

Jan 28, 2024 · Triangle GHJ is a right triangle because the slopes of G H and J G multiply to -1, indicating they are perpendicular. Therefore, the choices to complete the sentences are: the slope of G H is − 2 1 , the slope of H J is 4 3 , and the slope of J G is 2; Triangle GHJ is a right triangle because two of these slopes have a product of -1.