If triangle MNO is congruent to triangle PQR, which statement is not true? A) segment MN ≅ segment QP. B) ∠N ≅ ∠Q. C) segment NO
≅ segment QR. D) ∠O ≅ ∠R
2 answers:
Answer: A) segment MN ≡ segment QP
If two triangles are congruent, they have corresponding sides and corresponding angles congruent.
In order to find which are the corresponding sides, you need to be careful about the order of the letters, and therefore of the vertices (see picture attached).
From the congruency, we can say:
∠M ≡ ∠P
∠N ≡ ∠Q (statement B)
∠O ≡ ∠R (statement D)
MN ≡ PQ
NO ≡ QR (statement C)
OM ≡ RP
Hence, the only statement which is not true is <span>A) segment MN ≡ segment QP.</span>
If two triangles are congruent, they have corresponding sides and corresponding angles congruent.
In order to find which are the corresponding sides, you need to be careful about the order of the letters, and therefore of the vertices (see picture attached).
From the congruency, we can say:
∠M ≡ ∠P
∠N ≡ ∠Q (statement B)
∠O ≡ ∠R (statement D)
MN ≡ PQ
NO ≡ QR (statement C)
OM ≡ RP
Hence, the only statement which is not true is <span>A) segment MN ≡ segment QP.</span>
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Answer:
Step-by-step explanation:
Given:
The graph of function are given.
The equation for is given as:
Now, the graph of is a reflection of
.
The graph of passes through the point (-1, 1.5) [second quadrant] and crosses the y-axis at (0, 0.5).
As evident from the graph, the functions are reflections about the y-axis.
We know the transformation rule for reflection about the y-axis as:
Now, the y-intercept of the function is obtained by plugging in
. This gives,
So, the y-intercept is at (0, 1). But the graph of crosses the y-axis at (0, 0.5). As we observe, the coordinate rule for the transformation can be written as:
(0, 1) → (0, 0.5)
So, the reflected graph is compressed vertically by a factor of .
Therefore, the transformation is given as:
Therefore, the equation for is: