# Level 5/ 6 Maths Challenge!

Hello Year 6 Mathematicians,

Yesterday we used our knowledge of shape to find missing angles in triangles.

To follow this work up I would like you to explain how to find missing angles using knowledge of:

– corresponding angles

– alternate angles in a parallelogram

– vertically opposite angles

#

http://www.mathsisfun.com/geometry/corresponding-angles.html

http://www.mathsisfun.com/geometry/vertically-opposite-angles.html

## 15 thoughts on “Level 5/ 6 Maths Challenge!”

1. Abena Daffour

I will try and do it
A Corresponding angles are the angles which are occupied in the same relative position so that means they are opposite to one an other so it is where a straight line ,which is 180 degrees,goes and crosses the other one so that’s is 360 degrees.
Alternate angles on a parallelogram the two angles which are parallel.Both of them opposite side are called congruent. Moreover, one pair of the opposite side has to be congruent or maybe parallel. Furthermore, both pairs of opposite angles has to be symmetrical Size also you can call it congruent.
Vertically opposite angles are when each angle are facing each other and opposite to each other and the two lines cross. The angles always have be equal in length.

Abena’s work hope the teachers like it

2. Ahsan Khan

Corresponding angles are the angles which are occupied in the same relative position so they are opposite to each other in each position and it is where a straight line goes and crosses the other one.

Alternate angles on a parallelogram the two angles which are parallel. Additonally, both pairs of opposite side are called; congruent. Furthermore, one pair of the opposite side must be congruent or parallel. Moreover, both pairs of opposite angles must be exactly the same size (congruent).

Vertically opposite angles are the angle which are facing each other and opposite to each other and the two lines cross. The angles must always be equal in length.

From Ahsan Khan 6M

3. Ayub Khan

Corresponding angles have two lines which is crossed over from another line (called the transversal). Tranversal means when there is a line which passes through two lines in a shape. For example a and e is a corresponding angle.

A vertical opposite angle is a angle which is parallel. The word parellel means when there is two things which are facing each other .

By Ayub Khan 6m

4. Aamina Habib

Corresponding Angles are when two lines are being crossed over another line this is called TRANSVERSAL. This means the angles in the matching corners are the corresponding angles.

Vertically opposite Angles are the angles opposite each other when two lines cross. Vertical in this case, means they share the same vertex (or corner point)not the usual meaning of up or down.

The pairs of angles on opposite sides of the transversal but inside the two lines are called ALTERNATE INTERIOR ANGLES.To help you remember the angle pairs are on Alternate sides of the Transversal, and they are on the Interior of the two crossed lines.

5. Amaan Ahmed

Corresponding angles are the angles which occupy the same relative position of each intersection where a straight line crosses to others. If the two sides are parallel, the corresponding angles are equal.

Alternate angles on a parallelogram. The two pairs of opposite sides are parallel. Both pairs of opposite sides are congruent. One pair of opposite sides is both congruent and parallel. Both pairs of opposite angles are congruent.

Vertically opposite angles. Vertical angles are the angles opposite each other when two line cross. They are always equal.

By Amaan Ahmed 6M

6. Rayan

Corresponding angles:
When two lines are crossed by another line (which is called the transversal),the angles in corners are called corresponding angles.

vertically opposite angles:
If two lines are crossing, four angles are created. These angles are opposite to each other and are called vertically opposite angles also they are equal in size.

The shape parallelogram is an quadrilateral shape with opposite sides and are parallel. Each pair of opposite sides are parallel and are facing eachother.

7. Muryam Khalid

Corresponding Angle:
When there are two lines,which are crossed over by another line.The line which crosses them is called a Tranversal.
Vertically Opposite Angles:
Vertically opposite angles are the angles which are opposite each other when two lines cross.Vertical means when the angles share the same corner (vertex).
Alternate Angles In A Parallelogram:
A parallelogram is a quadrilateral,which means it has 4 sides.All 4 opposite sides are parallel.
-Muryam.K :) :)

8. Ojasvi Nag

Coressponding lines are when 2 or more lines are crossed over by one main line. The main line crossing over the others is called a Transversal. Additionally, the opposite angles in coressponding lines are always the same. For example, there are four angles – A (in the top left), 60° (in the bottom right), B (in the bottom left) and 30° (in the top right) – in my coressponding lines. Therefore, A would be the same as 60° as they are opposite and B would be the same as 30° because they are opposite. Now, if you want to check, you must always remember that the angles in corresponding lines always have 180° in total.

9. Bismah Wajid

A corresponding angle is when two lines are crossed by another line. The angles in matching corners are called corresponding angles. A transversal is when two lines are crossed by another line. If there is the two lines being crossed are parallel lines, then the corresponding angles are equal.

A parallelogram is a quadrilateral with opposite sides parallel.
1.Both pairs of opposite sides are parallel.

2.Both pairs of opposite sides are congruent. If they are congruent, they must also be parallel.

3.One pair of opposite sides are congruent and parallel. Then, the other pair must also be parallel.

By, Bismah

10. Sarah Kauser

Mr McCabe Im not sure what this is about but I reseached about it on th internet and this is what I found:
Corresponding angles:
When two lines are crossed by another line (which is called the transversal),the angles in corners are called corresponding angles.

11. Zakariya Hasan

Corresponding angles are created where a transversal crosses other (usually parallel) lines. The angle is formed by using the transversal and one of the line that are horizontal. After working out one the other will all ready be done because the two line correspond.

Zakariya Hasan

12. Humayun

corresponding angle:
when two lines are crossed by another line which is called the transversal, the angles in the matching corners are called corresponding angles.

vertically opposite angles:
when two lines cross, four angles are formed. Those angles opposite each other are called vertically opposite angles and are equal in size.

13. Ismaeel Dean

Corresponding angles are normally formed when a transerval passes through two lines.The angles that are formed are the same position in terms of the transversal are called corresponding angles.When the lines are paralle they are opposite eachother.Transerval means when a line passes through two points.

By Ismaeel Dean

14. Abena Daffour

mr macCabe I am not sure about what to do.

• J McCabe

Abena, nobody knew how to do this when we started! Can you use the materials I have given you to work out how to do it? Show what progress you can make…!