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Module 3, Topic 1- Review

Total questions: 23

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
2.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
3.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
4.
Which is NOT true about similar triangles.
a)
The angles in the triangles are congruent to each other.
b)
The sides are proportional to each other.
c)
The angles in each triangle add up to 180o.
d)
The triangles must have at least one side that is the same length.
5.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
6.

After a dilation the coordinates of D' are (3, 2). What is the dilation rule?

a)

(x+3, y+2)\left(x+3,\ y+2\right)

b)

(x3, y2)\left(x-3,\ y-2\right)

c)

(12x, 12y)\left(\frac{1}{2}x,\ \frac{1}{2}y\right)

d)

(2x, 2y)\left(2x,\ 2y\right)

7.

Which sequence of transformations will get you from triangle ABC to its image triangle A'B'C'?

a)

Reflection, then a translation

b)

Rotation, then a dilation

c)

Reflection, then a rotation

d)

Dilation, then a reflection

8.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
9.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
10.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
11.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
12.

In the accompanying diagram, triangle ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD=4 and DB=16 find the length of CD.

a)

0

b)

64

c)

8

d)

32

13.

Find the value of x.

a)

2√7

b)

7√2

c)

√28

d)

28

14.
a)
10
b)
12
c)
14
d)
16
15.

Find the midpoint:

a)


(3,1)\left(3,-1\right)

b)

(1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

16.

Find the midpoint:

a)

(32,52)\left(-\frac{3}{2},-\frac{5}{2}\right)

b)

(1,3)\left(-1,-3\right)

c)

(12,52)\left(-\frac{1}{2},-\frac{5}{2}\right)

d)

(3,1)\left(-3,-1\right)

17.

Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

a)
b)
c)
d)
18.
Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5
a)
(12, 1.6)
b)
(-1, 7.6)
c)
(-1, 6.6)
d)
(13, 1.6)
19.
Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1
a)
(3.75, 2.5)
b)
(3.75, 3.5)
c)
(4.75, 1.5)
d)
(5.75, 1.5)
20.

Axolotls are a type of

a)

Fish

b)

Salamander

c)

Lizard

d)

Bird

21.

How do Axolotls Breathe

a)

Gills

b)

Their Skin

c)

Lungs

d)

They don't breathe

22.

Axolotls can regenerate their

a)

tail and skin

b)

limbs

c)

spinal cord

d)

jaw

e)

all of the above

23.

Axolotls are endangered and found in the wild only in

a)

Mexico

b)

Costa Rica

c)

El Salvador

d)

California