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D. State whether the following statement are true or false.

1. An equilateral triangle can be a right triangle. [ ]
2. Sum of two sides of a triangle is greater than or equal to the third side. [ ]

3. If the angles and any side of a triangle are equal to the corresponding angles and the side
of another triangle, then the triangles are congruent. [ ]

4. A triangle can have all three angles with measure less than 60°. [ ]
5. If two triangles are equal in area, they are congruent. [ ]

6. If two triangles are congruent, then they have equal area. [ ]

E. Answer the following.
M A N
1. In the adjoining figure, AB = AC, MAN || BC, and ∠BAC = 50°. Find ∠BAN.
2. Calculate the value of x from the following: 50°

(a) A (b) A B (c) E
35° x
x E x D B C
30° 40°
75°
B D E C x 30°
C D A B C
(d) P (e) P (f) H
x – 10° D
65° I 50°
4x + 30° x 80°
3x + 1°
90° E G F
4x + 5° 70°
Q R Q R
3. Find the magnitude of the angles marked as x and y from the following figures:

(a) (b)
40° 30° x y

x 100°
60° y 65° 45°
4. In DOLD and DEWN, OL = 3 cm, LD = 6 cm, DO = 4.5 cm, EW = 6 cm, WN = 4.5 cm and EN = 3 cm.
Examine whether the two triangles are congruent or not. If yes, write the congruence relation in
symbolic form.
O E 6 cm W
3 cm 4.5 cm
3 cm 4.5 cm
6 cm N
5. In a quadrilateral ABCD, verify that AB + BC + CD + DA > AC + BD. G

6. In the given figure, DE = DG and FE = FG. Prove that DDFE ≅ DDFG. D F

7. Find the length of hypotenuse of DUVW, if right angle is at V and the measures of E
other two sides are 12 cm and 16 cm.

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