Question

practice 1-4 measuring segments and angles
if gj = 32, find the value of each of the following.

1. x
2. gh
3. hj
4. find pd if the coordinate of p is -7 and the coordinate of d is -1.
5. find sk if the coordinate of s is 17 and the coordinate of k is -5.
6. find the coordinate of b if ab = 8 and the coordinate of a is -2.
7. find the coordinate of x if xy = 1 and the coordinate of y is 0.
8. name the angle at the right in three different ways.

if ax = 45, find the value of each of the following.

1. y
2. aq
3. qx

find the measure of each angle.

1. ∠ebf 13. ∠eba
2. ∠dbe 15. ∠dbc
3. ∠abf 17. ∠dbf
4. name all acute angles in the figure.
5. name all obtuse angles in the figure.
6. name all right angles in the figure.
7. if ac = 62, find the value of x. then find ab and bc.
8. if ac = 206, find the value of x. then find ab and bc.

Explanation:

Step1: Sum segments for GJ

$3x + (x + 16) = 32$

Step2: Solve for x

$4x = 16 \implies x = 4$

Step1: GH = 3x

$GH = 3 \times 4$

Step1: HJ = x + 16

$HJ = 4 + 16$

Step1: Distance formula

$PD = |-1 - (-7)|$

Step2: Calculate absolute value

$PD = |6| = 6$

Answer:

1. 4