Question

quadrilaterals - angles
word bank
kite trapezoid parallelogram rectangle rhombus square
questions

1. label the quadrilaterals using the word bank (can be used twice)
2. label the angles right (r), obtuse (o), reflex (ref) or acute (a)

1)
name:

of acute = 1

of obtuse = 2

of right = 1

of reflex = 0

2)
name:

of acute =

of obtuse =

of right =

of reflex =

3)
name:

of acute =

of obtuse =

of right =

of reflex =

4)
name:

of acute =

of obtuse =

of right =

of reflex =

5)
name:

of acute =

of obtuse =

of right =

of reflex =

6)
name:

of acute =

of obtuse =

of right =

of reflex =

7)
name:

of acute =

of obtuse =

of right =

of reflex =

8)
name:

of acute =

of obtuse =

of right =

of reflex =

9)
name:

of acute =

of obtuse =

of right =

of reflex =

Explanation:

Problem 1 (First Quadrilateral)

Step1: Identify the quadrilateral

The first figure has 1 acute, 2 obtuse, 1 right, and 0 reflex angles. A kite has two pairs of adjacent sides equal, but this has one right angle. Wait, actually, a quadrilateral with 1 acute, 2 obtuse, 1 right: maybe a trapezoid? Wait, no, the first one: let's check the word bank. The word bank has Kite, Trapezoid, Parallelogram, Rectangle, Rhombus, Square. Wait, the first figure: let's see the angles. 1 acute (A), 2 obtuse (O), 1 right (R), 0 reflex (Ref). So the name: maybe a Kite? Wait, no, Kite has two pairs of adjacent angles equal. Wait, maybe a trapezoid? Wait, no, let's re - examine.

Wait, the first quadrilateral: let's count angles. 1 acute, 2 obtuse, 1 right. So the name: let's check the word bank. The options are Kite, Trapezoid, Parallelogram, Rectangle, Rhombus, Square. Let's think about each:

• Kite: has two pairs of adjacent sides equal, angles: two pairs of adjacent angles equal. Could have 1 acute, 2 obtuse, 1 right? Maybe. But let's check the second part: label angles. But first, the name. Wait, maybe the first one is a Kite? No, wait, the first figure: let's see the shape. It looks like a quadrilateral with one right angle, one acute, two obtuse. Maybe a trapezoid? Wait, no, trapezoid has one pair of parallel sides. Alternatively, maybe a Kite. Wait, maybe the first one is a Kite? No, let's check the angle counts.

Wait, maybe I made a mistake. Let's start with problem 1:

Step1: Name the quadrilateral

Looking at the first figure, with angles: 1 acute, 2 obtuse, 1 right, 0 reflex. The word bank has Kite, Trapezoid, Parallelogram, Rectangle, Rhombus, Square. A Kite can have such angle measures. But wait, maybe it's a Trapezoid? No, Trapezoid has one pair of parallel sides. Alternatively, maybe it's a Kite. Let's assume the name is Kite? No, wait, maybe it's a Trapezoid? Wait, no, let's check the angle labels.

Wait, maybe the first one is a Kite. But let's proceed.

Step2: Label angles

The angles: one is acute (A), two are obtuse (O), one is right (R), 0 reflex (Ref). So label the acute angle as A, obtuse as O, right as R.

But maybe I should start with problem 2 (the second quadrilateral).

Problem 2 (Second Quadrilateral)

Step1: Name the quadrilateral

The second figure is a triangle? No, it's a quadrilateral? Wait, no, the second figure looks like a triangle, but the title is Quadrilaterals - Angles. So maybe it's a quadrilateral? Wait, no, the second figure is a triangle - shaped? No, maybe it's a quadrilateral with a reflex angle? Wait, no, the problem says quadrilaterals. So maybe it's a quadrilateral with a reflex angle? Wait, the angle at the top looks like a reflex angle? No, reflex angle is greater than 180. The angle at the top of the second figure: if it's a quadrilateral, the sum of interior angles is 360. Let's assume it's a quadrilateral with a reflex angle. Wait, the word bank is for quadrilaterals. So the second figure: name? Maybe a Kite? No, maybe a quadrilateral with a reflex angle. Wait, the word bank has Kite, Trapezoid, Parallelogram, Rectangle, Rhombus, Square. None of these have a reflex angle except maybe a Kite? No, reflex angle is greater than 180. So maybe the second figure is a quadrilateral with a reflex angle, so the name? Wait, maybe it's a Kite with a reflex angle? No, Kite's angles are less than 180. Wait, maybe the second figure is a quadrilateral (a concave quadrilateral) with a reflex angle. So the name: maybe Kite? No, Kite is convex. Alternatively, maybe it's a different quadrilateral, but the word bank doesn't have concave qu…

Answer:

s (for each problem):

Problem 1:

• Name: Kite (or Trapezoid, but more likely Kite)
• # of Acute = 1
• # of Obtuse = 2
• # of Right = 1
• # of Reflex = 0

Problem 2:

• Name: Kite (with reflex angle? But Kite is convex. Maybe it's a different quadrilateral, but word bank has no other options. Maybe it's a Kite)
• # of Acute = 1 (assuming one acute angle)
• # of Obtuse = 2 (assuming two obtuse)
• # of Right = 0
• # of Reflex = 1 (since it has a reflex angle)

Problem 3:

• Name: Trapezoid
• # of Acute = 2
• # of Obtuse = 2
• # of Right = 0
• # of Reflex = 0

Problem 4:

• Name: Parallelogram
• # of Acute = 2
• # of Obtuse = 2
• # of Right = 0
• # of Reflex = 0

Problem 5:

• Name: Rectangle (or Square)
• # of Acute = 0
• # of Obtuse = 0
• # of Right = 4
• # of Reflex = 0

Problem 6:

• Name: Trapezoid
• # of Acute = 1
• # of Obtuse = 2
• # of Right = 1
• # of Reflex = 0

Problem 7:

• Name: Square (or Rectangle)
• # of Acute = 0
• # of Obtuse = 0
• # of Right = 4
• # of Reflex = 0

Problem 8:

• Name: Trapezoid
• # of Acute = 2
• # of Obtuse = 2
• # of Right = 0
• # of Reflex = 0

Problem 9:

• Name: Rhombus
• # of Acute = 2
• # of Obtuse = 2
• # of Right = 0
• # of Reflex = 0