Standardized Test Prep

SAT/ACT

26. Which is a possible value for x in the figure below?

    

    1. 2
    2. 4
    3. 6
    4. 8

27. A quilter cuts out and sews together two triangles, as shown in the figure. She tries to make Δ A B D cap delta eh b d  and Δ B D C cap delta b d c  equilateral triangles, but the angle measures are as shown. Assuming that the side B D ¯ b d bar  is actually the same length in both triangles, which segment is the longest side in the figure?

    

    6. A B ¯ eh b bar
    7. B C ¯ b c bar
    8. C D ¯ c d bar
    9. A D ¯ eh d bar

28. What is the equation of the perpendicular bisector of M N ¯ m n bar  with endpoints M(8, 0) and N(0, 0)?

    1. y = x − 8 y equals x minus 8
    2. x = 8 x equals 8
    3. x = 4 x equals 4
    4. y = 4 y equals 4
29. The orthocenter of a triangle lies outside the triangle. Which of the following statements cannot be true?
    6. The triangle has a 120 ° 120 degrees  angle.
    7. The triangle is isosceles.
    8. The incenter is inside the triangle.
    9. The triangle is acute.

Short Response

30. Use indirect reasoning to write a convincing argument that a triangle has at most one obtuse angle.

Mixed Review

See Problem 5-6.

List the angles of each triangle in order from smallest to largest.

Algebra The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side.

33. 15 cm, 19 cm
34. 6 ft, 11 ft
35. 3 in., 3 in.

See Lesson 4-2.

36. In Δ G H I , cap delta g h i comma  which side is included between ∠ G angle g  and ∠ H ? angle h question mark

Get Ready! To prepare for Lesson 6-1, do Exercises 37–39.

See Problem 3-7.

Find the slope of the line through each pair of points.

37. X(0, 6), Y(4, 9)
38. R(3, 8), S(6, 0)
39. A(4, 3), B(2, 1)

Table of Contents