Geometry Coordinate System Quiz

Play an AI-generated podcast conversation about this lesson

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?

-2 Signup and view all the answers

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

385 Signup and view all the answers

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

0.4 Signup and view all the answers

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

4/3 Signup and view all the answers

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

-5/12 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)?

-1/2 Signup and view all the answers

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

-7/25 Signup and view all the answers

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

-13/5 Signup and view all the answers

What is the distributive property in multiplication?

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

How can the number line be used in mathematics?

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. Signup and view all the answers

What are some basic shapes explored in geometry?

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

Why is estimation important in problem-solving?

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

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

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