Q1: If AD = BC and ∠ BAD = ∠ ABC, then ∠ ACB is equal to
(a) ∠ABD
(b) ∠ BAD
(c) ∠BAC
(d) ∠BDA
Q2: If O is a midpoint of AB and ∠BQO = ∠APO, then ∠OAP is equal to
(a) ∠QPA
(b) ∠OQB
(c) ∠QBO
(d) ∠BOQ
Q3: If △ABC is an isosceles triangle, ∠ B = 650, find ∠ A.
(a) 60º
(b) 70º
(c) 50º
(d) none of these
Q4: An angle is 140 more than its complement. Find its measure.
(a) 42
(b) 32
(c) 52
(d) 62
Q5: If ABCD is a quadrilateral where AD= CB, AB=CD, and ∠ D= ∠ B, then ∠CAB is equal to
(a) ∠ACD
(b) ∠CAD
(c) ∠ACD
(d) ∠BAD
Q6: If AB ⊥BC and ∠A =∠C, then the correct statement will
(a) AB ≠ AC
(b) AB = BC
(c) AB = AD
(d) AB = AC
Q7: If AB = AC and ∠ ACD = 1200, find ∠A.
(a) 500
(b) 600
(c) 700
(d) none of these
Q1: AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.
Q2: AB is a line segment and P is its midpoint. D and E are points on the same side of AB such that ∠BAD = ∠ABE and ∠EPA = ∠DPB. Show that
(i) ΔDAP ≌ ΔEBP
(ii) AD = BE
Q3: In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Show that AD = AE.
Q4: In Figure OA = OB and OD = OC.
Show that
(i) ΔAOD ≅ ΔBOC
(ii) AD  BC
Q5: In Fig, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.
Q6: In ΔABC, the bisector AD of ∠A is perpendicular to side BC. Show that AB = AC and ΔABC is isosceles.
Q7: ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that
(i) ΔABE ≌ ΔACF
(ii) AB = AC, i.e., ABC is an isosceles triangle
42 videos378 docs65 tests

1. What are the different types of triangles? 
2. How can we determine the type of triangle based on its angles? 
3. What is the Pythagorean Theorem and how is it used to find the length of a side in a right triangle? 
4. How can we determine the type of triangle based on its sides? 
5. How can we calculate the area of a triangle? 
42 videos378 docs65 tests


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