NJGPA Applying Geometric Theorems 5

Question 1

In the coordinate plane, points A(1, 2), B(5, 2), and C(5, 6) form a right triangle. What is the distance from A to C?

Accepted Answer

4√2

Answer

8

Answer

6

Answer

4

Question 2

A diagonal of a square has length 8√2. What is the side length of the square?

Accepted Answer

8

Answer

4√2

Answer

16

Answer

4

Question 3

In an equilateral triangle, each side has length 6. What is the height of the triangle?

Accepted Answer

3√3

Answer

6√3

Answer

3

Answer

√3

Question 4

Two secants are drawn from external point P. The near and far intersections of the first secant are 3 and 8 from P; the near intersection of the second secant is 4 from P. What is the far intersection of the second secant from P?

Accepted Answer

6

Answer

5

Answer

9

Answer

12

Question 5

In triangle ABC, angle bisectors from A, B, and C meet at point I. This point I is called the:

Accepted Answer

Incenter

Answer

Centroid

Answer

Circumcenter

Answer

Orthocenter

Question 6

Quadrilateral ABCD is a rhombus with diagonals AC and BD intersecting at E. If AC = 16 and BD = 12, what is the length of one side of the rhombus?

Accepted Answer

10

Answer

8

Answer

14

Answer

12

Question 7

A line through (2, 3) is perpendicular to a line with slope 2/3. What is the slope of the perpendicular line?

Accepted Answer

−3/2

Answer

2/3

Answer

3/2

Answer

−2/3