Question

1. the cities shown on the map lie approximately on a straight line. find the distance from wahoo to colchester.

a 112 b 180
c 188 d 360

1. give another name for line s.

a. (overline{xr}) b. (overline{sr}) c. (overline{tv}) d. (overline{xu}

1. name three points that are collinear.

a points x, r, p b points r, u, t
c points t, r, y d points k, r, s

1. (mangle pqt = 51^{circ}) and (mangle tqr=38^{circ}). find (mangle pqr).

a 13 b 45
c 89 c 90

1. (mangle pqr = 83^{circ}) and (mangle tqr=(4x + 3)^{circ}) and (mangle pqt=(2x)^{circ}). find (x).

a 6 b
c 26 d

1. (overrightarrow{bd}) bisects (angle abc). use the diagram and measure to find the measure of (angle abd).

a 43
c 63

Explanation:

1. For the question about collinear - points (Question 3):

• Explanation:
• Step 1: Recall the definition of collinear points
• Collinear points are points that lie on the same straight - line.
• Step 2: Analyze the given points in each option
• In option A, points X, R, P do not lie on the same straight - line.
• In option B, points R, U, T do not lie on the same straight - line.
• In option C, points T, R, Y lie on the same straight - line as shown in the diagram.
• In option D, points K, R, S do not lie on the same straight - line.
• Answer: C. Points T, R, Y

1. For the angle - related question (Question 4, assuming \(m\angle PQR=m\angle PQT + m\angle TQR\)):

• Explanation:
• Step 1: Use the angle - addition postulate
• Given \(m\angle PQT = 51^{\circ}\) and \(m\angle TQR=38^{\circ}\), then \(m\angle PQR=m\angle PQT + m\angle TQR\).
• Step 2: Calculate \(m\angle PQR\)
• \(m\angle PQR=51^{\circ}+38^{\circ}=89^{\circ}\)
• Answer: C. 89

Since not all questions are fully visible, this is a partial solution based on the clearly - visible questions. If you can provide more details about the other questions, a more comprehensive answer can be given.

Answer:

1. For the question about collinear - points (Question 3):

• Explanation:
• Step 1: Recall the definition of collinear points
• Collinear points are points that lie on the same straight - line.
• Step 2: Analyze the given points in each option
• In option A, points X, R, P do not lie on the same straight - line.
• In option B, points R, U, T do not lie on the same straight - line.
• In option C, points T, R, Y lie on the same straight - line as shown in the diagram.
• In option D, points K, R, S do not lie on the same straight - line.
• Answer: C. Points T, R, Y

1. For the angle - related question (Question 4, assuming \(m\angle PQR=m\angle PQT + m\angle TQR\)):

• Explanation:
• Step 1: Use the angle - addition postulate
• Given \(m\angle PQT = 51^{\circ}\) and \(m\angle TQR=38^{\circ}\), then \(m\angle PQR=m\angle PQT + m\angle TQR\).
• Step 2: Calculate \(m\angle PQR\)
• \(m\angle PQR=51^{\circ}+38^{\circ}=89^{\circ}\)
• Answer: C. 89

Since not all questions are fully visible, this is a partial solution based on the clearly - visible questions. If you can provide more details about the other questions, a more comprehensive answer can be given.