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Math226-Quizz 2

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

The locus of points equidistant from the sides of angle ABC(  (namely AB and BC) is

a)

the angle bisector. 

b)

bisector of AC‾.\overline{AC}.

2.

How many lines form the locus of points equidistant from two intersecting lines?

a)

1

b)

2

3.

What is the  locus of points that are equidistant from three fixed points (non collinear) A, B, and C?

a)

circumcenter of triangle  ABC.         

b)

incenter of triangle ABC.

4.

Which of given transformation is isometry

a)

reflection.

b)

rotation.

c)

homothecy.

d)

similarity.

5.

Homothecy is a collineation.

a)

True

b)

False

6.

Homothecy preserves angles.

a)

True

b)

False

7.

Homothecy is not a collineation.

a)

True

b)

False

8.

A homothecy is called expansion (stretching) if it ratio λ\lambda is such that

a)

∣λ∣>1\left|\lambda\right|>1

b)

∣λ∣<1\left|\lambda\right|<1

9.

Every direct isometry of the plane is

a)

either a rotation or a reflection.

b)

either a rotation or a translation.

10.

A composition of two translation is a

a)

rotation.

b)

translation.

11.

Every isometry of period 2 is

a)

either a reflection or a half-turn.

b)

either a reflection or a rotation.

12.

A composition of two reflections in two parallel lines (with

distance x between the lines) is

a)

a translation (with distance x).

b)

a translation (with distance 2x).

c)

a rotation.

d)

reflection.

13.

Every translation is the product

a)

of two reflections.

b)

of two isometries.

c)

of two half-turns.

14.

Identity is the only periodic translation.

a)

Yes

b)

No

15.

For opposite isometry, the order of lettering is

reversed.

a)

No

b)

Yes

16.

An isometry is a collineation that preserves betweenness.

a)

No

b)

Yes

17.

How many points make a locus of points that are equidistant from three fixed points (non collinear) A, B, and C?

a)

Two

b)

Three

c)

One

18.

What is the locus of points that are equidistant from two parallel lines?

a)

Two lines

b)

One line

19.

Every isometry preserves distances.

a)

True

b)

False

20.

A composition of a rotation and a translation is a

a)

rotation.

b)

translation.

c)

reflection.

21.

What is the locus of points that are equidistant from two intersecting lines?

a)

Two points

b)

Two lines

c)

One point

22.

Which transformation is defined as a change in size while maintaining the shape of a figure?

a)

Reflection

b)

Homothecy

c)

Translation

23.

What is the result of a composition of two reflections in two intersecting lines?

a)

Rotation

b)

Reflection

c)

Translation

24.

What is the result of a composition of two reflections in two parallel lines?

a)

Reflection

b)

Rotation

c)

Translation

25.

Which transformation maintains the shape and size of a figure?

a)

Translation

b)

Homothecy

c)

Isometry