Free Elementary Resources: Math Worksheets, ELA Activities, and ... - Free Printable

Let's solve each question on the worksheet step by step based on the image provided.

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1. What is the name of this angle?

The angle is formed by two rays: one starting at point K and going through W, and another starting at K and going through A.

Angles are named using three points, with the vertex in the middle. So, the correct name for this angle is:

> ∠AKW or ∠WK A

But since the vertex is K, and the rays go to A and W, the standard way is:

> ✔ ∠AKW (or ∠WKA — both are acceptable, but typically we list the vertex in the middle)

So, the answer is: ∠AKW

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2. What is the vertex of this angle?

The vertex is the common endpoint of the two rays forming the angle.

In this case, both rays start at point K.

✔ Answer: K

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3. What type of angle is this?

We are given a choice:
- a. obtuse angle
- b. acute angle
- c. right angle

Looking at the diagram:
- The angle appears less than 90 degrees.
- It is not a right angle (no square corner).
- It is not greater than 90°, so not obtuse.

✔ This is an acute angle.

Answer: b. acute angle

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4. Name the 2 rays of this angle:

Rays have a starting point and extend infinitely in one direction.

The two rays forming the angle are:
- Ray from K to A: written as ray KA
- Ray from K to W: written as ray KW

✔ Answer: ray KA and ray KW

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5. Use a ruler to draw 3 different quadrangles.

A quadrangle (or quadrilateral) is a polygon with four sides.

You need to draw three different types of quadrilaterals using a ruler. Examples include:

1. Square – all sides equal, all angles 90°
2. Rectangle – opposite sides equal, all angles 90°
3. Rhombus – all sides equal, opposite angles equal
4. Parallelogram – opposite sides parallel and equal
5. Trapezoid – one pair of parallel sides
6. Kite – two pairs of adjacent sides equal

Since you're drawing, here’s what you should do:
- Use your ruler to draw:
- One square
- One rectangle
- One trapezoid (or any other distinct quadrilateral)

Make sure each shape has four straight sides and is closed.

✔ Example: Draw a square, rectangle, and trapezoid.

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✔ Final Answers Summary:

1. ∠AKW
2. K
3. b. acute angle
4. ray KA and ray KW
5. Draw three different quadrilaterals (e.g., square, rectangle, trapezoid) using a ruler.

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Let me know if you'd like a visual description or help drawing them!