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Biblioteka

Unit 7 Study Guide

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Posljednje ažuriranje 3 months ago
16

Day 2 (4/14/26)

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.


Scale Factor

Obavezno
20
Pitanje 1
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)→

Obavezno
10
Pitanje 2
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

Obavezno
20
Pitanje 3
3.

Graph the image of the figure using the dilation given.

What is k (scale factor)?

k=

K':

L':

M':

Performing Dilations

Obavezno
20
Pitanje 4
4.

Graph the image of the figure using the dilation given.

D':

E':

F':

G':

Obavezno
20
Pitanje 5
5.

Identify the scale factor used to graph the image.

k=

Ratios

Obavezno
15
Pitanje 6
6.

After cross multiplying this proportion, what is the result?

=

Solve for b

b= or

Similar Polygons

Obavezno
12
Pitanje 7
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

Obavezno
20
Pitanje 8
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

Obavezno
20
Pitanje 9
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

Obavezno
5
Pitanje 10
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)

Obavezno
10
Pitanje 11
11.

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

Right Triangle Similarity:

Altitude and Hypotenuse Theorem

Obavezno
10
Pitanje 12
12.

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

Obavezno
10
Pitanje 13
13.

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

Using Triangle Proportionality Theorem to Solve Algebraic Equations

Obavezno
10
Pitanje 14
14.

Use the triangle proportionality to solve for x.

Obavezno
10
Pitanje 15
15.

Use the triangle proportionality to solve for x.

Right Triangle Similarity:

Hypotenuse and Leg Theorem

Obavezno
10
Pitanje 16
16.

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