Class 7 CONGRUENCE OF TRIANGLES mathematics
- 1. CONGRUENCE OF TRIANGLES UNDERSTANDING TRIANGLE CONGRUENCE CRITERIA BY RAJESH V. IYER (PARTH ACADEMY DAHOD
- 2. CONGRUENCE OF TRIANGLES What’s the same? How is this different? CONGRUENT OBJECTS ARE EXACT COPIES OF ONE ANOTHER CONGRUENCE OF PLANE FIGURE
- 3. CONGRUENCE OF TRIANGLES What’s the same? How is this different? CONGRUENT OBJECTS ARE EXACT COPIES OF ONE ANOTHER CONGRUENCE AMONG LINE SEGMENTS
- 4. CONGRUENCE OF TRIANGLES What’s the same? How is this different? CONGRUENT OBJECTS ARE EXACT COPIES OF ONE ANOTHER CONGRUENCE OF ANGLES
- 5. CONGRUENCE OF TRIANGLES What’s the same? How is this different? CONGRUENT OBJECTS ARE EXACT COPIES OF ONE ANOTHER CONGRUENCE OF TRIANGLES Two triangles are congruent if 1. All three sides 2. All three angles ARE EQUAL IN MEASURE. Congruent triangles can be rotated, flipped, slid, or turned to look identical
- 6. CONGRUENCE OF TRIANGLES What’s the same? How is this different?
- 7. CONGRUENCE OF TRIANGLES Side-side-side (SSS) 1. When two triangles have all three sides the same, they are congruent triangles. 2. The second triangle may be a rotation or a mirror image of the first triangle (or both).
- 8. CONGRUENCE OF TRIANGLES Right angle, hypotenuse and one other side (RHS) 1. When two triangles are right-angled triangles and have the hypotenuse and one of the shorter sides the same, they are congruent triangles. 2. The second triangle may be a rotation or a mirror image of the first triangle (or both). 3. The third side would also be identical and this can be checked using Pythagoras’ theorem.
- 9. CONGRUENCE OF TRIANGLES Side-angle-side (SAS) 1. When two triangles have two sides and the included angle the same, they are congruent triangles. The included angle is the angle in between the two sides. 2. The second triangle may be a rotation or a mirror image of the first triangle (or both).
- 10. CONGRUENCE OF TRIANGLES Angle-side-angle (ASA) 1. When two triangles have two angles and the included side the same, they are congruent triangles. The included side is the side in between the two angles. 2. The second triangle may be a rotation or a mirror image of the first triangle (or both). This can also be known as angle-angle- side (AAS) as if two angles in a triangle are known, the third angle can be worked out using the angle fact that the sum of interior angles in a triangle is 180∘