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Laabri

Unit 7 Study Guide

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Last updated about 2 months ago
16 Nsɛmmisa

This is the Unit assessment covering 7.1 to 7.8


You may use your notes, past assignments, and desmos to complete this assessment.


Complete the entire test and show your work for full credit. Responses without work will receive no points.


Day 2 (4/14/26)

Scale Factor

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20
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

This is an example of what kind of dilation?

Scale factor can be written as (x,y)→(kx, ky)

The ratio of the pre-image to image is to

The scale factor is of this example is (x,y)→

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10
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Identify the center of dilation and scale factor of each dilation.

Is this a reduction or enlargement?

What is the center of dilation (x,y)?

What is the scale factor?

k=

The ratio of the pre-image to image is

to

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20
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Graph the image of the figure using the dilation given.

What is k (scale factor)?

k=

K':

L':

M':

Performing Dilations

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20
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Graph the image of the figure using the dilation given.

D':

E':

F':

G':

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20
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Identify the scale factor used to graph the image.

k=

Ratios

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15
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6.

After cross multiplying this proportion, what is the result?

=

Solve for b

b= or

Similar Polygons

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12
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7.

List all congruent angles if △XYZ~△RYS

Y lines up with

lines up with R

S lines up with

∠Y ≅∠

∠ ≅ ∠YZX

∠YRS ≅∠

How to Prove Triangles Similar

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20
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Are these triangles similar?

If yes, then what method proves they are similar? (AA SSS SAS). If the triangles are not similar then write not similar

If yes, complete this similarity statement. If the triangles are not similar then write not similar

△ ~△DEA

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20
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Are these triangles similar?

If yes, then what method proves they are similar? (AA SSS SAS). If the triangles are not similar then write not similar

If yes, complete this similarity statement. If the triangles are not similar then write not similar

△VWU~△

Similarity in Right Triangles

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5
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Use the diagram to complete each equation.

Complete the proportion.

=

Cross multiply and complete this equation.

e²=

Solve for the altitude e

e=

Right Triangle Similarity

(When you have all 3 Sides of a Right Triangle)

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10
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11.

Solve for x. (Round your answer to the nearest tenth.)

Right Triangle Similarity:

Altitude and Hypotenuse Theorem

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10
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12.

Solve for x. (Round your answer to the nearest tenth.)

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10
Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Solve for x. (Round your answer to the nearest tenth.)

Using Triangle Proportionality Theorem to Solve Algebraic Equations

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10
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14.

Use the triangle proportionality to solve for x.

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10
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15.

Use the triangle proportionality to solve for x.

Right Triangle Similarity:

Hypotenuse and Leg Theorem

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10
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16.

Solve for x. (Round your answer to the nearest tenth.)