Why Construction of Triangle is impossible with just the Angles

Q. Can you draw a unique triangle with any 3 possible measurements of sides or angles?

1. Yes
2. With 3 angles, Yes; With 3 sides, No
3. With 3 sides, Yes; With 3 angles, No.
4. No, not possible.

Q.

Which property of a rectangle do we use to construct a rectangle given one diagonal and angle between diagonals?

1. Both (A) and (B)
   

2. Opposite sides are equal

3. Diagonals bisect each other
   

4. Diagonals are equal
   

Q.

We can construct a traingle when one side and two angles are given.

1. False

2. True

Q.

Which property of a rectangle do we use to construct a rectangle given one diagonal and angle between diagonals?

1. Diagonals bisect each other
   

2. Diagonals are equal
   

3. Both (A) and (B)
   

4. Opposite sides are equal

Q.

What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

1. Each angle of a rectangle is ${90}^{\circ }.$

2. Diagonals are equal.

3. Diagonals bisect each other.

4. Diagonals bisect each other at ${90}^{\circ }.$

Q.

What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

1. Each angle of a rectangle is ${90}^{\circ }.$

2. Diagonals are equal.

3. Diagonals bisect each other.

4. Diagonals bisect each other at ${90}^{\circ }.$

Q. "If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent". Is the statement true? Why?

Q.

Can you draw a unique triangle with any 3 possible measurements of sides or angles?

1. Yes

2. With 3 angles, Yes; With 3 sides, No

3. With 3 sides, Yes; With 3 angles, No

4. No, not possible

Q.

Which property of a rectangle do we use to construct a rectangle given one diagonal and angle between diagonals?

1. Diagonals are equal
   

2. Opposite sides are equal

3. Diagonals bisect each other
   

4. Both (A) and (B)
   

Q.

What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

1. Diagonals are equal.

2. Each angle of a rectangle is ${90}^{\circ }.$

3. Diagonals bisect each other.

4. Diagonals bisect each other at ${90}^{\circ }.$

Q.

What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

1. Diagonals bisect each other.

2. Diagonals are equal.

3. Diagonals bisect each other at ${90}^{\circ }.$

4. Each angle of a rectangle is ${90}^{\circ }.$