Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.Create another scale drawing of the window frame
that uses a scale of 1 cm to 12 inches.
1 answer:
Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
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Answer:
Part A:
Part B. All angles are same, so the triangles are similar.
Part C. RP = 8
Step-by-step explanation:
We are given a right angled triangle with
.
PS is perpendicular to the hypotenuse RQ of and S lies on RQ.
Part A:
To identify the pair of similar triangles.
.
Part B:
To identify the type of similarity.
Kindly refer to the image attached in the answer area.
Let us consider the triangles .
Also, is common to both the triangles under consideration.
Now, we can see that two angles of two triangles are equal.
So, third angle of the two triangles will also be same.
i.e. All three angles of two triangles are equal to each other.
So, by A-A-A (Angle - Angle - Angle) similarity, we can say that .
Part C:
RS = 4
RQ = 16, Find RP.
There is one property of similar triangles that:
The ratio of corresponding sides of two similar triangles is equal.
i.e.
