Pre-Algebra Chapter 2: Congruence/Similarity

Congruence/Similarity Vocabulary

100

What does it mean if two shapes are congruent?

Same shape, same size.

200

What does it mean if two shapes are similar?

Same shape/proportions, but not same size.

300

Which transformations lead to similar shapes?

Dilations

400

Which transformations lead to congruent shapes?

Reflections, Rotations, Translations

500

If two triangles share the same angle measurements, then that means they are not only similar, but also congruent.

TRUE or FALSE

FALSE

Triangles/Similar Triangles

100

The Triangle Sum Theorem states that.....

...the sum of the angles of a triangle add up to 180 degrees.

200

Find the measure of angle 3. Then state whether or not the triangles are similar.

Triangle 1: <1=   110     <2=  30

Triangle 2: <1= 30       <3= 40

Triangle 1: 40

Triangle 2:  110

Similar

300

An exterior angle is equal to .....

.....the sum of the remote interior angles.

400

Find the value of x.

Triangle:

<1: 4x

<2: 3x

<3: 2x

x= 20 degrees.

500

Find the value of x.

Triangle:

<1: 70 degrees

<2: x + 10

<3: x

x= 50 degrees

Transformations

100

In a translation, we need to account for what types of movement?

Horizontal and vertical

200

If a pre-image is in quadrant I and is reflected across the x-axis, what quadrant does the image end up in?

quadrant IV

300

If a pre-image is dilated by a scale factor of c=3/2, did the image get bigger or smaller? 

1.5 times bigger

400

Rotations are always done in what direction in a coordinate plane?

Counterclockwise

500

If a pre-image is rotated 180 degrees, what quadrant is the image in?

quadrant III

Series of Transformations

100

When we are identifying a series of transformations, name the order of things to look for.

1. Dilations

2. Reflections/Rotations

3. Translations

4. Similar or Congruent