This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Let's continue with the geometry questions. 2.2 Study the diagram below and answer the questions that follow (continued) To answer these questions, we refer to the diagram from the previous problem, which showed a rectangle ABDC and a point E on the line segment CD. Step 1: Determine the type of triangle BDE. 2.2.8 In the previous diagram, ABDC was identified as a rectangle. This means that BDC is a right angle (90^). Since E lies on the line segment CD, BDE is the same as BDC. Therefore, BDE has a right angle at D. Answer: Right-angled triangle Step 2: Determine the type of angle E. 2.2.9 Angle E refers to BED within BDE. Since BDE is a right-angled triangle at D, the sum of the other two angles ( DBE and BED) must be 90^. Since both DBE and BED must be positive, BED must be less than 90^. Answer: Acute angle 2.3 G is the centre and A, G and C lie on the same straight line. Step 1: Describe drawing line segments GA, GB, and GC. 2.3.1 Draw a straight line from point G (the center) to point A (on the circumference). Draw a straight line from point G (the center) to point B (on the circumference). Draw a straight line from point G (the center) to point C (on the circumference). Step 2: Name line segments GA, GB, and GC. 2.3.2 Line segments from the center of a circle to any point on its circumference are called radii. Answer: Radii Step 3: Describe drawing a line segment from A to C. 2.3.3 Draw a straight line connecting point A to point C. Step 4: Name the line segment from A to C. 2.3.4 Since A, G, and C lie on the same straight line and G is the center, the line segment AC passes through the center of the circle and connects two points on the circumference. This is called a diameter. Answer: Diameter Step 5: Describe drawing line segments from A to B and B to C. 2.3.5 Draw a straight line connecting point A to point B. Draw a straight line connecting point B to point C. Step 6: Name line segments A to B and B to C. 2.3.6 Line segments that connect two points on the circumference of a circle are called chords. Answer: Chords Last free one today — make it count tomorrow, or type /upgrade for unlimited.