Line TS is the perpendicular bisector of QR Which of the following must be true? •R What is m.FGH? F H QR = TS 115° O B TO = TR O C QT = QS 167° O A 39 OD. TR = QS O B. 52 O . 78° O D. 141 Which statement is true about the angle bisectors of a triangle? O A They bisect the sides of the triangle. O B. They intersect at a point equidistant from the vertices of the triangle. C. They intersect at a point equidistant from the sides of the triangle. O D. They are each perpendicular to the opposite side of the triangle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**savvasrealize.com**

**Beginning-of-Year Assessment**

**The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is \(\frac{1}{4}\) of the way from A to B?**

**Line \(\overleftrightarrow{TS}\) is the perpendicular bisector of \(\overline{QR}\). Which of the following must be true?**

*Graph Description:*
A coordinate plane is depicted with points Q and R connected by a horizontal line, making \(\overline{QR}\). The line \(\overleftrightarrow{TS}\) is shown as a vertical line passing through the midpoint of \(\overline{QR}\). Point \(S\) is on \(\overleftrightarrow{TS}\) below the intersection point, and point \(T\) is above the intersection point. 

*Multiple Choice Options:*
1. \(QR \cong TS\)
2. \(TQ \cong TR\)
3. \(QT \cong QS\)
4. \(TR \cong QS\)

**Which statement is true about the angle bisectors of a triangle?**

A. They bisect the sides of the triangle.

B. They intersect at a point equidistant from the vertices of the triangle.

C. They intersect at a point equidistant from the sides of the triangle.

D. They are each perpendicular to the opposite side of the triangle.

**What is \(m \angle FGH?\)**

*Diagram Description:*
A circle with points F, G, and H on its circumference is shown. The angles at \( \angle F \) and \( \angle H \) are given as 115° and 167° respectively.

*Multiple Choice Options:*
1. 39°

2. 52°

3. 78°

4. 141°

**Due: 06/16/21 11:59 PM**
Transcribed Image Text:**savvasrealize.com** **Beginning-of-Year Assessment** **The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is \(\frac{1}{4}\) of the way from A to B?** **Line \(\overleftrightarrow{TS}\) is the perpendicular bisector of \(\overline{QR}\). Which of the following must be true?** *Graph Description:* A coordinate plane is depicted with points Q and R connected by a horizontal line, making \(\overline{QR}\). The line \(\overleftrightarrow{TS}\) is shown as a vertical line passing through the midpoint of \(\overline{QR}\). Point \(S\) is on \(\overleftrightarrow{TS}\) below the intersection point, and point \(T\) is above the intersection point. *Multiple Choice Options:* 1. \(QR \cong TS\) 2. \(TQ \cong TR\) 3. \(QT \cong QS\) 4. \(TR \cong QS\) **Which statement is true about the angle bisectors of a triangle?** A. They bisect the sides of the triangle. B. They intersect at a point equidistant from the vertices of the triangle. C. They intersect at a point equidistant from the sides of the triangle. D. They are each perpendicular to the opposite side of the triangle. **What is \(m \angle FGH?\)** *Diagram Description:* A circle with points F, G, and H on its circumference is shown. The angles at \( \angle F \) and \( \angle H \) are given as 115° and 167° respectively. *Multiple Choice Options:* 1. 39° 2. 52° 3. 78° 4. 141° **Due: 06/16/21 11:59 PM**
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