Geometry Coordinate System Quiz

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Questions and Answers

If the ratio of the height to the base of triangle AP is 3:4, and the area of the triangle is 24 square units, what is the length of the base AP?

  • 8 units (correct)
  • 10 units
  • 6 units
  • 12 units

In triangle ABC, if cos(A) = 6/7 and sin(B) = 2/7, what is tan(C)?

  • -6/7
  • -2/7
  • -1/12 (correct)
  • -1/6

If the equation of a circle is $(x-4)^2 + (y-8)^2 = 100$, what are the coordinates of the center of the circle?

  • (10,12)
  • (12,10)
  • (8,4)
  • (4,8) (correct)

For the system of equations 2a = 5 and a - b = 8, what is the value of a?

<p>-2 (D)</p> Signup and view all the answers

What is the least common multiple (LCM) of 55 and 7?

<p>385 (D)</p> Signup and view all the answers

If sin(x) = -0.6, what is the possible value of cos(x)?

<p>0.4 (C)</p> Signup and view all the answers

Given that tan(y) = 3/4, what is a possible value of sec(y)?

<p>4/3 (A)</p> Signup and view all the answers

If sin(z) = -5/13 and cos(z) < 0, what is a possible value of tan(z)?

<p>-5/12 (C), -5/12 (D)</p> Signup and view all the answers

For an angle x, if cot(x) = 2 and csc(x) = -2, what is a possible value of sec(x)?

<p>-1/2 (A)</p> Signup and view all the answers

Given that cot(a) = -7/24 and tan(a) > 0, what is a possible value of sin(a)?

<p>-7/25 (C), -7/25 (D)</p> Signup and view all the answers

If cos(b) = 5/13 and sin(b) < 0, what is a possible value of csc(b)?

<p>-13/5 (C)</p> Signup and view all the answers

What is the distributive property in multiplication?

<p>The distributive property states that multiplication distributes over addition, for example: $A \times (B + C) = A \times B + A \times C$.</p> Signup and view all the answers

How can the number line be used in mathematics?

<p>The number line is a visual tool used to solve addition and subtraction problems, helping in understanding the concept of magnitude and distance between numbers.</p> Signup and view all the answers

What are some basic shapes explored in geometry?

<p>Basic shapes in geometry include squares, rectangles, triangles, circles, and polygons.</p> Signup and view all the answers

Why is estimation important in problem-solving?

<p>Estimation is crucial in problem-solving to quickly check the reasonableness of answers and make informed decisions based on approximate values.</p> Signup and view all the answers

What is the purpose of review and practice exercises in math?

<p>Review and practice exercises help in testing understanding, reinforcing skills, and mastering the concepts learned in Math Chapter 1.</p> Signup and view all the answers

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