B.Two pairs of corresponding sides and one pair of corresponding angles
C.Two pairs of corresponding angles
D.Two pairs of corresponding sides
Answer:
Option C is correct.
Two pairs of corresponding angles
Step-by-step explanation:
Given triangle XYZ has been dilated to form triangle LMN.
Dilation states that it is a transformation that produces an image that is the same shape as the original, but of a different size.
therefore, the triangle XYZ by a dilation is similar to triangle LMN
Similar figures have the
*same shape
*equal corresponding angle measures, and
*have proportional sides.
Therefore, the information which is needed to prove that two given triangles are similar is two pairs of corresponding angles
Two pairs of corresponding angles
I will mark the CORRECT answer Brainiest.
Answer:
Yes
Step-by-step explanation:
Step 1) Again - recall back to Pythagoras' Theorem: A^2+B^2=C^2 - when the squares of two of the sides of the triangle are equal to the square of the hypotenuse - then it is a Right Triangle.
Step 2) the equation will be written as such: (56/5)^2 + (21)^2 = (119/5)^2 and you render the exponents as: 125.44 + 441 = 566.44
Step 3) Add the numbers on the left: 566.44 = 566.44 - since the left equals the right, it is therefore a Right Triangle.
Answer:
1. "angle HGJ" or "angle JGH" (∠HGJ or ∠JGH)
2. "angle G" (∠G)
3. "angle 3" (∠3)
Step-by-step explanation:
Three ways the shaded angle can be named:
1. We can use capital letters to name the shaded angle. The middle letter indicates the vertex. Thus, we would name the shaded angle as: "angle HGJ" or "angle JGH". G is the middle letter, which indicates the vertex of the angle. Most often, the symbol "∠" is usually used to represent the word "angle". In short form, the shaded angle can be named as:
"∠ HGJ" or "∠ JGH"
2. The shaded angle can also be named according to the vertex. Thus, G is the vertex. The angle can be named "angle G" or "∠G"
3. Numbers can be placed at the vertex of the angle, and named accordingly. Thus, the shaded angle of which the vertex is labelled "3" can be named as "angle 3" or "∠3"
Answer: 6^8 / 12^8
Step-by-step explanation:
To simplify the expression (6^4/12^4)^2 as a single power, you can use the properties of exponents.
First, simplify the numerator and denominator separately:
(6^4/12^4)^2 = (6^4/12^4) * (6^4/12^4)
Now, use the fact that (a/b)^2 = a^2 / b^2:
= (6^4 * 6^4) / (12^4 * 12^4)
Next, use the properties of exponents to combine the like bases:
= 6^(4+4) / 12^(4+4)
= 6^8 / 12^8
Now, you can simplify further by dividing both the numerator and denominator by a common power of 12 (in this case, 12^8):
= (6^8 / 12^8) / (12^8 / 12^8)
= (6^8 / 12^8) / 1
= 6^8 / 12^8
So, (6^4/12^4)^2 simplifies to 6^8 / 12^8 as a single power.