G1-L22/3 Geometry Practice : Lines and Angles

(Part 1) TEACHING(15-20mins)                                           

1. Identifying and naming perpendicular and parallel lines

2. Using angle notation, identifying angels, measure of angles

(Part2) PRACTICE (15-20mins)

Start Time:                 

(I) Lines and Angles (25-35 mins)                                                       

1.   In the square grid below, which of the following lines, when drawn, is perpendicular to JK? (18/14/p1/f)

(1) AB 

(2) CD 

(3) AC 

(4) BJ                                                                                  (                       )

2.  In the figure below not drawn to scale, ABC is a straight line, ABD is an

isosceles triangle. Find angle x. (19/p1)

(1) 22° 

(2) 79° 

(3) 101° 

(4) 158°                                                                              (                       )

3.      In the diagram below not drawn to scale, AB and CD are straight lines. Find angle x.

* For Question 4 and 5 

Refer to the figure below.

             

4. Name tow lines that are parallel to each other.

5. Name two lines that are perpendicular to each other.

6.*    In the figure below, find ㄥy.

            

7.*  In the figure, PQRS is a rectangle. ㄥPQT = 15^o and ㄥSQR = 40^o. Find ㄥTQS.

8.      Sam cuts three figures shown below along the dotted lines. Figure 1 is a parallelogram, Figure 2 is a rhombus and Figure 3 is a square.

Which of the figures above consist(s) of at least one isosceles triangle after cutting? (18/6/p1)

(1) Figure 1, 2 and 3

(2) Figure 1 and 2 only

(3) Figure 1 and 3 only

(4) Figure 2 and 3 only                                                    (                  )

9.The figure below shows a net of a solid.

What is the name of the solid formed by the net above? 

(1) cone

(2) prism

(3) cuboid

(4) pyramid                                                                        (                       )

10.   MN forms one side of a rectangle LMNO. LM is twice the length of MN. Complete the drawing of the rectangle in the square grid below. (30/p1)

11.   The figure below is made up of 2 similar 4-sided figures. Find the sum of

∠𝑎+ ∠𝑏+ ∠𝑐. (5/p2/s)

Extra Practice

1.*  In the figure, KL and MN are straight lines. Find ∠x.

2.*  In the figure, ABCD is a rectangle. BD = BE, ∠BED = 40^o and ∠EDA = 260^o. Find ∠CDB.

3.*  In the figure, ABD and FED are straight lines and EB is parallel to DC. ∠EFA is a right angle, ∠FAB = 55^o, ∠ABC = 115^o and ∠DEB = 70^o

(a) Find <ABE

(b)  Find <BCD

4.*  In the figure, ABCD is a straight line. BDEF is a parallelogram and EC = EF. <FAB is a right angle, <BFA = 40^o and <DEC = 20^o.

Tutor Remark:                                                                                                                   

Answer Keys

1.      2

2.      3

3.      114^o

4.      QR and PS

5.      PT and TR

6.      190^o

7.      35^o

8.      4

9.      2

10.

11.   295^o