32. Coordinate Geometry ∠ A O X angle eh o x  contains points A(1, 3), O(0, 0), and X(4, 0).
    1. Find the coordinates of a point B so that ∠ B O A angle b o eh  and ∠ A O X angle eh o x  are adjacent complementary angles.
    2. Find the coordinates of a point C so that O C → o c vector  is a side of a different angle that is adjacent and complementary to ∠ A O X . angle eh o x .

Algebra Find the value of each variable and the measure of each angle.

Standardized Test Prep

SAT/ACT

GRIDDED RESPONSE

36. ∠ 1 angle 1  and ∠ 2 angle 2  are vertical angles. If m ∠ 1 = 63 m angle , 1 equals , 63  and m ∠ 2 = 4 x − 9 , m angle , 2 equals , 4 x minus 9 comma  what is the value of x?
37. What is the area in square centimeters of a triangle with a base of 5 cm and a height of 8 cm?

38. In the figure below, m ∠ 1 = 1 2 ( m ∠ 2 ) , m ∠ 2 = 2 3 ( m ∠ 3 ) . m angle , 1 equals , 1 half , open m angle 2 close comma m angle , 2 equals , 2 thirds , open m angle 3 close .  If m ∠ 3 = 72 , m angle , 3 equals , 72 comma  what is m ∠ 4 ? m angle 4 question mark

    

39. What is the measure of an angle with a supplement that is four times its complement?

Mixed Review

See Problem 2-5.

Which property of equality or congruence justifies going from the first statement to the second?

40. 3 x + 7 = 19 3 x = 12 table with 2 rows and 1 column , row1 column 1 , 3 x plus . 7 equals , 19 , row2 column 1 , 3 x equals , 12 , end table
41. 4 x = 20 x = 5 table with 2 rows and 2 columns , row1 column 1 , 4 x equals , column 2 20 , row2 column 1 , x equals , column 2 5 , end table
42. ∠ 1 ≅ ∠ 2  and  ∠ 3 ≅ ∠ 2 ∠ 1 ≅ ∠ 3 table with 2 rows and 1 column , row1 column 1 , angle 1 approximately equal to angle 2 , and , angle 3 approximately equal to , angle 2 , row2 column 1 , angle 1 approximately equal to , angle 3 , end table

Get Ready! To prepare for Lesson 3-1, do Exercises 43–48.

See Lesson 1-2.

Refer to the figure below.

Image Long Description

43. Name four points on line t.
44. Are points G, A, and B collinear?
45. Are points F, I, and H collinear?
46. Name the line on which point E lies.
47. Name line t in three other ways.

48. Name the point at which lines t and r intersect.

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