Geometry Quiz Review_012925

NOTES (UNIT 5) PROPORTIONS AND SIMILARITIES_TEK G7(A & B)

1

Today you will learn to identify similar triangles by three rules:

●Angle, Angle (AA)

●Side, Side, Side (SSS)

●Side, Angle Side (SAS)

2

●
Angle Angle (AA)

This theorem states that if two triangles have two congruent corresponding angles, you can prove their

similarity. That is because if two angles are congruent, the third pair of corresponding angles has to be

congruent too as angles in a triangle have a sum of 180∘.

Multiple Choice

This theorem states that if two triangles have two ____________ corresponding angles, you can prove their similarity.

• equal
• unequal
• congruent
• similar

3

●
Side Side Side (SSS)

The second one among the three similar triangle proofs, the SSS theorem states that if two triangles have three

corresponding sides that are proportional, you can prove their similarity. That is because, if all three corresponding sides

are proportional, it’ll force the corresponding interior angles to be congruent, which means the triangles are similar.

Multiple Choice

If all three corresponding sides are proportional, it’ll force the corresponding interior angles to be congruent, which means the triangles are ____________

• The triangles are similar.
• The triangles are identical.
• The triangles are not similar.
• The triangles have different areas.

4

●
Side Angle Side (SAS)

If two triangles have two corresponding congruent angles, in between two pairs of proportional sides, you can prove

their similarity.

Fill in the Blanks

If two triangles have two corresponding congruent angles, in between two pairs of proportional sides, you can prove their

NOTES_ Solve for x_Similar Triangles

January 25, 2025

1

a

b

c

d

e

f

6

8

10

x

5

2

​3

​6 = 8
3 x

Fill in the Blanks

x = ?

a

b

c

d

e

f

8

6

12

x

3

​8 = 6
12 x

Fill in the Blanks

x = ?

p

q

r

s

t

r

10

8

15

x

4

​10 = 8
15 x

Fill in the Blanks

​x = ?

j

k

l

m

n

o

5

4

15

x

5

​5 = 4
15 x

Fill in the Blanks

x = ?

w

x

y

z

a

b

9

12

x

18

6

​9 = 12
x 18

Fill in the Blanks

x = ?

g

h

i

j

k

l

6

4

9

x

7

​6 = 4
9 x

Fill in the Blanks

x = ?