Which of the following is not a characteristic of the figure with vertices at coordinates A(1,1) B(1,2), C(2,2), D(2,1)?
1 answer:
Answer:
D. two acute angles
Step-by-step explanation:
Let us quickly plot the vertices on a graph to obtain the figure in the attachment.
Connecting the four points gives a square.
We know a square has the following properties.
A. four right angles
.......True
B. four vertices
................True
C. two sets of parallel lines
......True
D. two acute angles...................False.....A square has four right angles.
Therefore the correct choice is D
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Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
