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" If two angles of a triangle are equal, the sides opposite those angles are equal. AA . . A Given the triangle ABC, in which angle B equals angle C. To prove that AB = A C. Proof. 1. Construct the AA'B'C' congruent to A ABC, by making B'C' = BC, Zfi' =... "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Σελίδα 360
των Robert Mudie - 1836 - 496 σελίδες
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Junior High School Mathematics: 1st-3d Book, Βιβλίο 3,Μέρος 2

Edson Homer Taylor, Fiske Allen - 1923 - 104 σελίδες
...the values of n given in the table. re 1 2 3 4 5 6 7 8 9 10 S RECTILINEAR FIGURES THEOREM X 89. // two angles of a triangle are equal, the sides opposite those angles are equal and the triangle is isosceles. 90. Analysis. What is given? Make a drawing. What is to be proved? What...

How to Measure

Guy Mitchell Wilson, Kremer Jacob Hoke - 1928 - 618 σελίδες
...circle which is not a diameter .......... ( ) 2. All straight angles are equal ............ ( ) 3. If two angles of a triangle are equal, the sides opposite those angles are equal ................ ( ) 4. Tangents to a circle at the extremities of a diameter are parallel to each...

Connections Maths: Stage 5.3/5.2/5.1, Τόμος 10

Ajit Kalra, James Stamell - 2005 - 592 σελίδες
...= &ACD .: AB =AC (given) (each is 90°) (common) (AAS) (corresponding sides of congruent triangles) if two angles of a triangle are equal, the sides opposite those angles are equal. Property 5 Each angle of an equilateral triangle is 60°. Giuen: ABC is an equilateral triangle with...
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Year 9 Intermediate Mathematics: Stage 5.2

Lyn Baker - 2004 - 174 σελίδες
...triangles: • if two sides of a triangle are equal the angles opposite those equal sides are equal • if two angles of a triangle are equal the sides opposite those angles are equal. Congruent triangles can be used to prove results for equilateral triangles: • if three sides of a...
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Year 10 Intermediate Mathematics: Stage 5.2

Lyn Baker - 2005 - 168 σελίδες
...opposite angles, d If two sides of a triangle are equal the angles opposite those sides are equal, e If two angles of a triangle are equal the sides opposite those angles are equal. ax + 75 + 83 = 180 [angle sum of A] x+ 158 = 180 x =22 bx = 42 + 75 [exterior angle of A] x= 117 с...
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Year 10 Advanced Mathematics: Stage 5.3

Lyn Baker - 2006 - 182 σελίδες
...rectangle are e The diagonals of a rhombus in length. the vertex angles through which they pass. f If two angles of a triangle are equal, the sides opposite those angles are g If all sides of a quadrilateral are equal the quadrilateral is a h If two angles of one triangle...
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Composite Mathematics Book-7

S. K. Gupta & Anubhuti Gangal - 290 σελίδες
...Statements AB=CB Za = Zb BD=BD ZA = ZC Reasons Given Construction Common (SAS) (Corr. Zs of Cong. As) ADC (2) If two angles of a triangle are equal the sides opposite those angles are also equal. A AABC is given in which ZA = ZC. We wish to prove that AB = BC. In this case also, we...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - 1912 - 356 σελίδες
...similar to the method of Euclid, Book I, Proposition V (the pons asinorum) . PROPOSITION IV. THEOREM 140. If two angles of a triangle are equal, the sides opposite those angles are equal. AA A A \ \ / : ±Q, Given the triangle ABC, in which angle B equals angle C. To prove that AB = A C....

The Bombay University Calendar, Τόμος 2

University of Bombay - 1907 - 328 σελίδες
...and 5 cm. and the included angle - 65° ; and measure the length of the third side in centimetres. 2. If two angles of a triangle are equal, the sides opposite to these angles are equal. The bisector of the interior angle at C in the triangle ABC meets All in...




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