The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that. Unit 4, 29.2

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1 In the construction for bisecting a segment, make sure you open the compass to a length half the length of the line segment and use the same setting to draw an arc from each endpoint. Unit 4, 29.1

2 In the construction for bisecting a segment, make sure you open the compass to a length wider than half the length of the line segment and use the same setting to draw an arc from each endpoint. Unit 4, 29.1

3 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? m LFT = OFP Unit 4, 29.2

4 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? m LFT = OFP No, vertical angles can not justify parallel lines. Unit 4, 29.2

5 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? FL = OM Unit 4, 29.2

6 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? FL = OM No, one pair of congruent radii of congruent circles can not justify parallel lines. Unit 4, 29.2

7 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? m LFT = m MOK Unit 4, 29.2

8 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? m LFT = m MOK Yes, corresponding angles congruent justifies parallel lines. Unit 4, 29.2

9 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? FT = OK Unit 4, 29.2

10 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? FT = OK No, one pair of congruent radii of congruent circles can not justify parallel lines. Unit 4, 29.2

11 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? PS = RQ Unit 4, 29.2

12 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? PS = RQ No, one pair of congruent segments can not prove segments parallel. Unit 4, 29.2

13 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? m ROM + m MOK = 180 Unit 4, 29.2

14 The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that PS RQ? m ROM + m MOK = 180 No, linear pairs or supplementary adjacent angles can not prove segments parallel. Unit 4, 29.2

15 Choose the missing reason from the explanation of why the construction to copy an angle yields a congruent angle. AC AT OD OG because they are radii of circles with the radius. CT DG because in congruent circles, chords equally distant from the center are congruent. CAT DOG because of. So, by CPCTC, CAT DOG Unit 4, 29.1

16 Choose the missing reason from the explanation of why the construction to copy an angle yields a congruent angle. AC AT OD OG because they are radii of circles with the SAME radius. CT DG because in congruent circles, chords equally distant from the center are congruent. CAT DOG because of SSS. So, by CPCTC, CAT DOG Unit 4, 29.1

17 Given a line and a point on the line, write the three steps in the construction of a line through the point perpendicular to the given line. Unit 4, 29.2

18 Given a line and a point on the line, write the three steps in the construction of a line through the point perpendicular to the given line. 1. Draw a line through the given point and the point where the new arcs intersect. 2. Where the arcs intersect the given line, place the compass point and draw new arcs above or below the given line. 3. With the compass on the given point, draw arcs that intersect the line. Unit 4, 29.2

19 What do you need to construct in order to find the center of the inscribed circle of a triangle? Unit 4, 29.3

20 What do you need to construct in order to find the center of the inscribed circle of a triangle? Angle Bisectors Unit 4, 29.3

21 The steps for constructing an inscribed circle of a triangle are below. Fill in the missing blanks. Step 1: Construct the of two angles of the triangle. Step 2: Mark the at the point of concurrency. Step 3: Construct a perpendicular line from the incenter to one side of the triangle. Label this point X. Step 4: Use the distance from the incenter to point X as the radius, and draw the circle. Unit 4, 29.3

22 The steps for constructing an inscribed circle of a triangle are below. Fill in the missing blanks. Step 1: Construct the bisectors of two angles of the triangle. Step 2: Mark the incenter at the point of concurrency. Step 3: Construct a perpendicular line from the incenter to one side of the triangle. Label this point X. Step 4: Use the distance from the incenter to point X as the radius, and draw the circle. Unit 4, 29.3

23 If you construct the perpendicular bisectors of the sides of an obtuse triangle. Where will the intersection of the three perpendicular bisectors be located? Unit 4, 29.3

24 If you construct the perpendicular bisectors of the sides of an obtuse triangle. Where will the intersection of the three perpendicular bisectors be located? They meet outside of the triangle Unit 4, 29.3

25 If you construct the perpendicular bisectors of the sides of an acute triangle. Where will the intersection of the three perpendicular bisectors be located? Unit 4, 29.3

26 If you construct the perpendicular bisectors of the sides of an acute triangle. Where will the intersection of the three perpendicular bisectors be located? They meet inside of the triangle Unit 4, 29.3

27 If you construct the perpendicular bisectors of the sides of an right triangle. Where will the intersection of the three perpendicular bisectors be located? Unit 4, 29.3

28 If you construct the perpendicular bisectors of the sides of an right triangle. Where will the intersection of the three perpendicular bisectors be located? They meet on a side of the triangle Unit 4, 29.3

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