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sergejj [24]
2 years ago
15

I really need help!

Mathematics
2 answers:
iVinArrow [24]2 years ago
8 0

Answer:

  c. m∠P'Q'R' = m∠PQR

Step-by-step explanation:

Rotation is a rigid transformation. It does not change lengths or angles.

alexira [117]2 years ago
8 0

Answer:

Option c is right

Step-by-step explanation:

Rotation means turning around a centre.  Here O, the origin is the centre. And angle PQR is rotated 90 degrees counter clockwise about the origin.

Rotation is the change of direction, but normally the sizes and angles will not change.

Here by rotation angle PQR will not change (neither increase or decrease)

Hence Angle PQR = angle P'Q'R' Option c is right

Option a is not right since the new angle need not be 90 degrees unless we know PQR =90

Similarly for b also it is wrong

d is wrong since rotation will not make angle 2 times.

Hence option c is right answer

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Answer:  C. Definition of an Altitude

Step-by-step explanation:

Given: In triangle MNO shown below, segment NP is an altitude from the right angle.

Let ∠MNP=x

Then ∠PNO=90°-x

Therefore in triangle MNO,

∠MPN=∠NPO =90°  [by definition of Altitude]

[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]

Now using angle sum property in ΔMNP

∠MNP+∠MPN+∠PMN=180°

⇒x+90°+∠PMN=180°

⇒∠PMN=180°-90°-x

⇒∠PMN=90°-x

Now, in ΔMNO and ΔPNO

∠PMN=∠PNO=90°-x

and ∠MPN=∠NPO =90°  [by definition of altitude]

Therefore by AA similarity postulate, we have

ΔMNO ≈ ΔPNO

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