Constant is the number that cannot change the value
Im not sure..but you can copy it
Please Help Fast This Is Important.
1 answer:
The attached figures represent the transformations of the triangle ABC
<h3>How to draw the transformations</h3>From the figure, the coordinates of the triangle ABC are:
A = (-2, 3)
B = (0, 2)
C = (3, 4)
Next, we carry out the required transformations on the above coordinates of the triangle ABC
<u>The rotation</u>
Here, we rotate the triangle 90 degrees clockwise across the origin
The rule of this transformation is:
(x, y) = (y, -x)
So, we have:
A' = (3, 2)
B' = (2, 0)
C' = (4, -3)
See figure (1) in the attachment for the graph of the rotation transformation
<u>The translation</u>
Here, we translate the triangle up by 3 units
The rule of this transformation is:
(x, y) = (x, y + 2)
So, we have:
A' = (-2, 5)
B' = (0, 4)
C' = (3, 6)
See figure (2) in the attachment for the graph of the reflection transformation
<u>The reflection</u>
Here, we reflect the triangle across the y-axis.
The rule of this transformation is:
(x, y) = (-x, y)
So, we have:
A' = (2, 3)
B' = (0, 2)
C' = (-3, 4)
See figure (3) in the attachment for the graph of the reflection transformation
Read more about transformation at
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We have to prove that rectangles are parallelograms with congruent Diagonals.
Solution:
1. ∠R=∠E=∠C=∠T=90°
2. ER= CT, EC ║RT
3. Diagonals E T and C R are drawn.
4. Shows Quadrilateral R E CT is a Rectangle.→→[Because if in a Quadrilateral One pair of Opposite sides are equal and parallel and each of the interior angle is right angle than it is a Rectangle.]
5. Quadrilateral RECT is a Parallelogram.→→[If in a Quadrilateral one pair of opposite sides are equal and parallel then it is a Parallelogram]
6. In Δ ERT and Δ CTR
(a) ER= CT→→[Opposite sides of parallelogram]
(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]
(c) Side TR is Common.
So, Δ ERT ≅ Δ CTR→→[SAS]
Diagonal ET= Diagonal CR →→→[CPCTC]
In step 6, while proving Δ E RT ≅ Δ CTR, we have used
(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]
Here we have used ,Option (D) : Same-Side Interior Angles Theorem, which states that Sum of interior angles on same side of Transversal is supplementary.
