Question
What is the value of ∠PQB if PQ ⊥ PB and RS ⊥ AR and RS = PQ, AP = BR?
![](data:image/png;base64,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)
- 50°
- 40°
- 80°
- 100°
Hint:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
The correct answer is: 40°
From the figure, In ΔARS, ∠ARS + ∠SAR + ∠SRA = 180° (Angle sum property of triangle)
⇒ 90° + 50° + ∠RSA = 180° (RS ⊥ AR, ∠SRA = 90°)
⇒∠RSA = 40° ————– (i)
Also, AP = BR
⇒ AP + AB = BR + AB
⇒ PB = AR —————– (ii)
In ΔARS and ΔPQB, RS = PQ (given)
∠QPB = ∠SRA = 90°
PB = AR (from ii)
⇒ ΔARS ≅ ΔBQP (SAS congruence criterion)
⇒∠PQB = ∠RSA = 40° (Corresponding parts of congruent triangles
Hence ,the correct option is (b).
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
Related Questions to study
Write the rule for this translation: Slide 3 up and 2 right
Write the rule for this translation: Slide 3 up and 2 right
Which of the following figures has rotational symmetry of order more that I?
Hence Both A and C is the Correct option.
Which of the following figures has rotational symmetry of order more that I?
Hence Both A and C is the Correct option.
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
Identify the type of triangle if altitudes AD, BE and CF are equal.
![](data:image/png;base64,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)
An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.
Identify the type of triangle if altitudes AD, BE and CF are equal.
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)
An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.
A translation is a transformation
A translation is a transformation
From the diagram given below, we can say that ΔABC and ΔPQR are ________.
![](data:image/png;base64,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)
Hence Congruennt is perfect option
From the diagram given below, we can say that ΔABC and ΔPQR are ________.
![](data:image/png;base64,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)
Hence Congruennt is perfect option
Which of the following alphabets has a horizontal line of symmetry?
Hence All of These is the suitable option.
Which of the following alphabets has a horizontal line of symmetry?
Hence All of These is the suitable option.
A translation function is defined by the rule (x, y) → (x + 2, y - 5).
Which choice will be the image of the point (3, 6) under this translation?
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation will be: (5, 1).
A translation function is defined by the rule (x, y) → (x + 2, y - 5).
Which choice will be the image of the point (3, 6) under this translation?
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation will be: (5, 1).
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is changing of position of the image.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is changing of position of the image.
Which of the following alphabets has no line of symmetry?
Hence P has no line of symmetry.
Which of the following alphabets has no line of symmetry?
Hence P has no line of symmetry.
A translation of (x, y) → (x + 4, y - 3) is applied to Δ PQR.P (-3, 3), Q (2, 7), R (7, 2). The coordinate of P’ is
The required point has been calculated with the given equation.
A translation of (x, y) → (x + 4, y - 3) is applied to Δ PQR.P (-3, 3), Q (2, 7), R (7, 2). The coordinate of P’ is
The required point has been calculated with the given equation.
Translation is possible
Translation is possible both vertical and horizontal.
Translation is possible
Translation is possible both vertical and horizontal.