I don't fully get this stuff but some of these I guessed on and some I think I;m close so will someone check/ help me please? * is the answer I put
1. Point A is 0.5 cm from j. k and k are parallel and 1 cm apart. Find the locus of points that are 0.75 cm from A and equidistant from j and k.
*a.)No points
b.)One point
c.)two points
2. Points A and B are 2 m apart. Find the locus of points 3 m from A and 3 meters from B.
a.)No point
*b.)One point
c.)Two points
3. A segment PR is determined if points P and Q are given and Q is the midpoint of PR.
*a.)True
b.)False
c.)can't be determined
4. What is the locus of points equidistant from R and from S in a given triangle ΔRST.
a.)angle R
b.)altitude of triangle RST
*c.)perpendicular bisector of RS
1. question has typing error "k and k are parallel "
2. wrong. There are two
3. correct
4. correct
Sure, I'll be happy to help you with these questions.
1. To find the locus of points that are 0.75 cm from point A and equidistant from points J and K, we can start by drawing a diagram. Place point A, then draw parallel lines passing through points J and K, which are 1 cm apart. From point A, mark a point 0.75 cm away. The locus of points that are 0.75 cm from A and equidistant from J and K will be the intersection points of the line parallel to JK passing through A and the perpendicular bisector of the line segment JK.
In this case, since the locus is defined as points that are 0.75 cm away from A and equidistant from J and K, the answer will be a single point, as the intersection of the line and the perpendicular bisector will only occur at one point.
Therefore, the correct answer is *b.) One point.
2. Similarly, to find the locus of points that are 3 m from both A and B, we can draw a diagram. Place points A and B, which are 2 m apart. From each of these points, mark a point 3 m away. The locus of points that are 3 m from A and 3 m from B will be the intersection point of the circles centered at A and B with radii 3 m.
In this case, since the two circles intersect at only one point, the locus will be a single point.
Therefore, the correct answer is *b.) One point.
3. In this question, we are given that P and Q are points and Q is the midpoint of segment PR. A segment is determined by its two endpoints. If we know the positions of points P and Q, and Q is the midpoint of segment PR, then we can determine the segment PR.
Therefore, the correct answer is *a.) True.
4. To find the locus of points that are equidistant from R and S in triangle ΔRST, we can consider the definition of a perpendicular bisector. The perpendicular bisector of a line segment is a line that is perpendicular to the line segment and bisects it, dividing it into two equal parts.
In this case, the locus of points that are equidistant from points R and S in triangle ΔRST will be the perpendicular bisector of the line segment RS.
Therefore, the correct answer is *c.) Perpendicular bisector of RS.
I hope this helps! Let me know if you have any more questions.