Labelling Triangles and Angles – Easy
Labelling Triangles and Angles – Hard
⃡ .
1. Draw a triangle ∆ABC with acute ∠ABC where points 𝐴 and 𝐵 exist on 𝐴𝐵
1. Name both of the angles below by using given vertices.
C
Y
A
X
B
Z
̅̅̅̅ and 𝐵𝐶
̅̅̅̅ where point 𝐵 is common on both and ∠𝐴𝐵𝐶 ≠ 180o.
2. Draw both 𝐴𝐵
D
Label two angles, 𝑥 and 𝑦 where 𝑥 < 𝑦 and both are forms of ∠𝐴𝐵𝐶.
2. State each type of angle labelled below (Acute / Right Angle / … ).
𝑐
𝑎
𝑑
𝑒
𝑓 (180o)
𝑏
3. Name triangles that you can see in the diagram below. (Don’t name the same
⃡ and 𝐶𝐷
⃡ where 𝐴𝐵
⃡ ⊥ 𝐶𝐷
⃡ and intersect at some point 𝑀. Add
3. Draw both 𝐴𝐵
some ̅̅̅̅
𝐴𝐶 to produce some ∆ACM.
triangles in different ways.)
A
D
C
B
K
4. Look at the diagram below. Why can’t we be certain that ∠ABC is acute?
E
A
J
I
G
H
F
B
C
Please write your answers in alphabetical order.
Label something on the diagram to make this more clear.
Triangles and Congruence
Triangles and Congruence
1. Split each shape into two congruent triangles below and state which triangle is
1. Split each shape into two congruent triangles below and state which triangle is
congruent to which by using correct notation. (Point M refers to a mid-point.)
congruent to which by using correct notation. (Point M refers to a mid-point.)
F
C
G
M
A
H
B D
K
G
M
J
E
F
C
I
A
I
H
B D
J
K
E
Which of the lines above drawn by hand above is not a line of symmetry?
Which of the lines above drawn by hand above is not a line of symmetry?
2. Can a pentagon be split into two congruent triangles? State the only two general
2. Can a pentagon be split into two congruent triangles? State the only two general
shapes that can be divided into two congruent triangles.
shapes that can be divided into two congruent triangles.
3. Complete the sentences below.
3. Complete the sentences below.
A regular hexagon can be split into two congruent
where the
of symmetry is parallel to
two shapes are therefore
edges of the hexagon. These
(specific name).
Congruent shapes must be the same
all of their
(general name)
are the same length and
and
where the
of symmetry is parallel to
two shapes are therefore
. This means that
Congruent shapes must be the same
are the same size.
all of their
4. Must a shape with all congruent edges always be regular? Try to give a name of or
draw a shape that isn’t.
A regular hexagon can be split into two congruent
(general name)
edges of the hexagon. These
(specific name).
are the same length and
and
. This means that
are the same size.
4. Must a shape with all congruent edges always be regular? Try to give a name of or
draw a shape that isn’t.