We read your photo as:

What type of a triangle is triangle BDE? What type of angle is angle E?

Mathematics

ScanSolve AI Answer

Answers

2 parts
2.2

Right-angled triangle\text{Right-angled triangle}

Acute angle\text{Acute angle}

2.3

Radii\text{Radii}

Diameter\text{Diameter}

Chords\text{Chords}

Step-by-step solution

8 steps

Let's continue with the geometry questions.

Part 2.2· 2 steps

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.

  1. Determine the type of triangle BDE.

    • 2.2.8 In the previous diagram, ABDC was identified as a rectangle. This means that ∠BDC\angle BDC is a right angle (90∘90^\circ). Since E lies on the line segment CD, ∠BDE\angle BDE is the same as ∠BDC\angle BDC.
      • Therefore, △BDE\triangle BDE has a right angle at D.
      • Answer: Right-angled triangle\boxed{\text{Right-angled triangle}}

  2. Determine the type of angle E.

    • 2.2.9 Angle E refers to ∠BED\angle BED within △BDE\triangle BDE. Since △BDE\triangle BDE is a right-angled triangle at D, the sum of the other two angles (∠DBE\angle DBE and ∠BED\angle BED) must be 90∘90^\circ.
      • Since both ∠DBE\angle DBE and ∠BED\angle BED must be positive, ∠BED\angle BED must be less than 90∘90^\circ.
      • Answer: Acute angle\boxed{\text{Acute angle}}

Part 2.3

Radii\text{Radii}

G is the centre and A, G and C lie on the same straight line.

  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).

  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\boxed{\text{Radii}}

  3. Describe drawing a line segment from A to C.

    • 2.3.3
      • Draw a straight line connecting point A to point C.

  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\boxed{\text{Diameter}}

  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.

  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\boxed{\text{Chords}}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QIn the diagram below, ABC is an equilateral triangle. ADE is an isosceles triangle such that line…QSince DB = BE (given), DBE is an isosceles triangle. In an isosceles triangle, the angles opposite…QIdentify the angle E₁ as AEB.QConstruct a triangle DEF with DE = 7cm, angle E = 90 degrees. Construct altitude from D to EF.QIn a trapezium EBCD with EB || DC, find angles a, b, and c given angle CDE = 58 degrees, angle EBC…
Browse by topic:Geometry
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp