Segments and Its Properties

Q.

M, N and P are the mid points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5cm, then the measures of BC, AB and AC are

1. 8 cm, 6 cm, 5 cm

2. 9 cm, 6 cm, 5 cm

3. 6 cm, 7 cm, 5 cm

4. 5 cm, 8 cm, 9 cm

Q. Two segments AB and CD are said to be congruent when:

1. l(AB) = l(CD)
2. l(AB) > l(CD)
3. l(AB) < l(CD)
4. l(AB) $\ge$ l(CD)

Q.

Question 8
ABCD is a rectangle formed by points A (-1, -1), B(-1, 4), C(5, 4) and D(5, -1). P, Q, R, and S are mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS a square, rectangle or rhombus? Justify your answer.

Q. Which of the following is the symmetric property of congruent segments?

1. If $segAB\cong segCD$ and $segCD\cong segEF$, then $segAB\cong segEF$
2. If $segAB\cong segCD$, then $segAB\cong segAB$
3. If $segAB\cong segCD$, then $segCD\cong segAB$
4. $segAB\cong segAB$

Q. Answer the questions with the help of figure

(i) State the points which are equidistant from point B.
(ii) Write a pair of points equidistant from point Q.
(iii) Find d (U, V), d(P, C), d(V, B), d(U, L).

Q. Find the point equidistant from the points P(1, 3) and Q(-5, -5), and which lies on the line y= -1.

1. (-2, -2)
2. (-2, -1)
3. (-4, -1)
4. (3, -1)

Q. AD is a line segment. B and C are points in the interior if AC = BD, then prove that AB = CD.

Q. Compare the two segments AB and CD
Given length of segment AB is 12 and length of segment CD is 16.

1. seg AB < seg CD
2. seg AB > seg CD
3. Cannot compare segments using their lengths
4. seg AB = seg CD

Q. Point P is the midpoint of seg XY. If XP = 8.5, find l(XY).

1. 4.25
2. 17
3. 19
4. 16.25

Q. Which of the following is the transitive property of congruent segments?

1. If $segAB\cong segCD$ and $segCD\cong segEF$, then $segAB\cong segEF$
2. If $segAB\cong segCD$, then $segAB\cong segAB$
3. If $segAB\cong segCD$, then $segCD\cong segAB$
4. $segAB\cong segAB$

Q. Point P is the midpoint of seg XY. If XP = 8.5, find l(XY).

Q.

Use the following information to answer the next question.

What is the length of side XY?

1. 5 cm

2. 8 cm

3. 6 cm

4. 7 cm

Q. Which of the following is the transitive property of congruent segments?

1. If $segAB\cong segCD$ and $segCD\cong segEF$, then $segAB\cong segEF$
2. If $segAB\cong segCD$, then $segAB\cong segAB$
3. If $segAB\cong segCD$, then $segCD\cong segAB$
4. $segAB\cong segAB$

Q. In the given diagram, identify the points which are equidistant from point B.

Q.

If AE = BE, then segment CD ___ segment AB.

1. is perpendicular to
2. bisects
3. is parallel
4. trisects

Q. All right angles are ___ .

Q. In the above diagram identify the points which are equidistant from point U.

1. R and Q
2. R and L
3. R and A
4. R and P

Q.

If AE = BE, then segment CD ___ segment AB.

1. is perpendicular to
2. bisects
3. is parallel
4. trisects

Q. If AB = 7cm, BP = 4cm, AP = 5.4 cm, compare the segments.

Q. If the line represented by 3x + $\beta$y = 8 passes through (2, 2) then the value of $\beta$ is

1. $0$
2. $1$
3. $2$
4. $3$

Q. If the length of two line segments are equal, then the two segments are _________.

1. parallel
2. congruent
3. linear
4. perpendicular

Q.

Two points P & Q are marked on the number line as shown in figure with P = -8 & Q = -15

The distance between them is

1. 15 units

2. 8 units

3. 7 units

4. 5 units

Q.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $\angle$ POS and $\angle$ SOQ respectively. If $\angle$ POS = $x$, then find $\angle$ ROT.

1. ${180}^{\circ }$

2. ${90}^{\circ }$

3. ${120}^{\circ }$

4. ${75}^{\circ }$