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Automatic translation, not reviewed, of the Hebrew lesson your child follows at school.

עשרה תרגילים על כל הפרק: מרחק ואמצע, משוואות של ישרים, מקבילים ומאונכים, ושטחים. מתחילים בקל ומסיימים באתגר.

Exercises

Exercise 1

מה המרחק בין (−3, 2)(-3,\ 2) ל-(3, 10)(3,\ 10)?

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Answer: 10

Worked solution:

36+64=10\sqrt{36 + 64} = 10

1010.

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Exercise 2

אמצע הקטע בין (−4, 6)(-4,\ 6) ל-(2, 0)(2,\ 0):

( ____ , ____ )

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Answer: ( -1 , 3 )

Worked solution:

(−1, 3)(-1,\ 3)

(−1, 3)(-1,\ 3).

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Exercise 3

הישר דרך (1, 5)(1,\ 5) ו-(3, 1)(3,\ 1):

y=y = ____ x+x + ____

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Answer: y=y = -2 x+x + 7

Worked solution:

m=−2m = -2

y=−2x+7y = -2x + 7.

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Exercise 4

y=4x−1y = 4x - 1 ו-y=−14x+2y = -\frac{1}{4}x + 2 הם:

  1. מאונכים
  2. נחתכים לא בזווית ישרה
  3. מתלכדים
  4. מקבילים
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Answer: A מאונכים

Worked solution:

4⋅(−14)=−14 \cdot \left(-\frac{1}{4}\right) = -1

מאונכים.

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Exercise 5

חיתוך y=x−1y = x - 1 ו-y=−x+5y = -x + 5:

( ____ , ____ )

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Answer: ( 3 , 2 )

Worked solution:

2x=62x = 6

(3, 2)(3,\ 2).

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Exercise 6

שטח המשולש (1, 0)(1,\ 0), (7, 0)(7,\ 0), (4, 6)(4,\ 6):

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Answer: 18

Worked solution:

6⋅62\frac{6 \cdot 6}{2}

1818.

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Exercise 7

A(0, 1)A(0,\ 1), B(3, 2)B(3,\ 2), C(4, 5)C(4,\ 5) קודקודים של מקבילית ABCDABCD. DD:

( ____ , ____ )

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Answer: ( 1 , 4 )

Worked solution:

(+1, +3)(+1,\ +3)

D(1, 4)D(1,\ 4).

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Exercise 8

נכון או לא נכון: 2x−4y=82x - 4y = 8 ו-y=0.5xy = 0.5x מקבילים.

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Answer: True

Worked solution:

y=0.5x−2y = 0.5x - 2

נכון.

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Exercise 9

הישר המאונך ל-y=2xy = 2x דרך (4, 1)(4,\ 1):

y=y = ____ x+x + ____

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Answer: y=y = -0.5 x+x + 3

Worked solution:

y−1=−0.5(x−4)y - 1 = -0.5(x - 4)

y=−0.5x+3y = -0.5x + 3.

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Exercise 10

הנקודה (5, k)(5,\ k) במרחק 55 מ-(1, 1)(1,\ 1), ו-k>1k > 1. מצאו את kk.

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Answer: 4

Worked solution:

16+(k−1)2=2516 + (k - 1)^2 = 25

k=4k = 4.

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