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Tresset [83]
3 years ago
14

In the diagram below, line segment AC is the perpendicular bisector of line segment EF. Is line segment EF the perpendicular bis

ector of line segment AC? Explain how you know

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

Not necessarily. If picture is drawn to scale, no.

Step-by-step explanation:

Line segment EF is certainly perpendicular to line segment AC, but we don't know if it bisects or not.

If the picture isn't drawn to scale, there is no way to know if EF is a perpendicular bisector to AC or not because we do not know if AD = CD.

If the picture is drawn to scale, EF is not a perpendicular bisector to AC because we can see that AD ≠ CD and therefore EF cannot be a perpendicular bisector.  

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It takes Lacey 3 hours to knit a stocking cap and 5 hours to knit a pair of mittens. She has at most 20 hours of spare time in a
Elodia [21]

Answer:

B. 3x+5y≤20y≥1  


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What similarity property, if any, can be used to show that the following two triangles are similar ?
Natalka [10]

Answer:

A) SSS

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\frac{AC}{DF}=\frac{10}{15}=\frac{2}{3}\\\frac{AB}{DE}=\frac{12}{18}=\frac{2}{3}\\\frac{BC}{EF}=\frac{8}{12}=\frac{2}{3}\\\text{Thus,}\\\frac{AC}{DF}=\frac{AB}{DE}=\frac{BC}{EF}\\

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6 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Olegator [25]

Answer:

Part) A. Part B and Part C see the explanation

Step-by-step explanation:

Part A) Translate Triangle ABC 6 units horizontally How are the values in the ordered pairs affected by the translation?

If the translation is 6 units horizontally, that means that each vertex of the ABC pre-image is going to move 6 units to the right, i.e. each x-coordinate of the ABC pre-image is going to increase by 6 units and each y-coordinate of the ABC pre-image is going to remain the same.

Part B) Translate Triangle ABC -3 units vertically How are the values in the ordered pairs affected by the translation?

If the translation is -3 units vertically, that means that each vertex of the ABC pre-image is going to move 3 units down, i.e. each x-coordinate of the ABC pre-image is going to remain the same and each y-coordinate of the ABC pre-image is going to decrease by 6 units.

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we know that

The coordinates of the image vertices can be determined through the rule of the translation

so

In the part A) the translation is +6 units horizontally (6 units at right)

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The rule of the translation of the pre-image to the image is equal to

(x,y) ------> (x+6,y)

<u><em>Example</em></u>

The coordinates of the pre-image A(-4,1)

To obtain the coordinates of the image A' apply the rule of the translation

A(-4,1)--------> A'(-4+6,1)

A(-4,1)--------> A'(2,1)

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The rule of the translation of the pre-image to the image is equal to

(x,y) ------> (x,y-3)

<u><em>Example</em></u>

The coordinates of the pre-image A(-4,1)

To obtain the coordinates of the image A' apply the rule of the translation

A(-4,1)--------> A'(-4,1-3)

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