Free Printable G7 S2 Review Questions

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G7 S2 Review Questions

Total questions: 47

Worksheet time: 3hrs 41mins

Name

Class

Date

Find the length of the missing side.

20 in.

68 in.

16 in.

80 in.

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

17 miles

32 miles

37 miles

40 miles

you ADD a² and c² then take the square root to find b on a right triangle.

true

false

you ADD a² and b² then take the square root to find c on a right triangle.

true

false

Use the graph paper to plot the points and find the distance between the two points. Round to the nearest tenth.

(0,2) and (7,7)

8.6

8.5

9.0

8.0

Use the graph paper to plot the points and find the distance. Round to the nears tenth if necessary.

(9,4) and (1,9)

8.8

8.9

9.0

8.0

Find the length of the red line AD...

Round your answer to 1 decimal place

5.8 cm

5.9 cm

4.0 cm

4.1 cm

Find the length of the orange line UR...

Round your answer to 1 decimal place

9.4 cm

9.5 cm

8.9 cm

8.8 cm

10.

Which answer shows a reflection across the y-axis?

11.

Find K' if the figure is reflected across the x-axis

(4, 1))

(-1, -4)

(1, -4)

(1, 4)

12.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

(x, y) --> (x - 9, y + 3)

(x, y) --> (x + 9, y - 3)

(x, y) --> (x + 3, y - 9)

(x, y) --> (9x, 3y)

13.

What type of transformation is this?

Rotation

Reflection

Translation

Enlargement

14.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰rotation clockwise?

(1, 3)

(3, 1)

(3, -1)

(1, -3)

15.

Describe the transformation shown if the image on the left is the pre-image.

Reflection across the y axis

Translation 4 units right

Rotation 90^oclockwise

Dilation by a factor of 2

16.

Describe the transformation shown

Rotation of 270^o counter clockwise

Translation right one unit and up one unit

Dilation by a scale of 2

Dilation by a scale of 1/2

17.

Which of the following is NOT a rigid/isometric transformation?

Dilation

Reflection

Rotation

Translation

18.

What happens to a point $\left(x,y\right)$ after a 180 degree rotation?

(-y, -x)

(y, -x)

(-x, -y)

(-y, x)

19.

∆ABC≅∆XYZ
which is true?

AB≅XY

AB≅YX

AB≅XZ

BC≅CB

20.

The triangles are congruent. Which of the following statements must be true?

∠A ≅ ∠D

∠B ≅ ∠E

AB ≅ DE

BC ≅ FD

21.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

3.75

9.75

22.

Two objects that are the same shape but not the same size are _______.

Congruent

Vertical

Similar

Complementary

23.

When talking about figures on a coordinate plane, what does "congruent" mean?

Same shape, same size

Same shape, size changes

Different shape, different size

Same shape, different size

24.

Which transformation(s) create(s) congruent figures?

Dilation

Translation, Reflection, Rotation

Dilation and Translation

Dilation and Reflection

25.

Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?

Yes. 1.5

Yes. ⅔

Yes. 2

No.

26.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

∠T

∠M

∠L

27.

Which congruency rule applies to the following pair of triangles?

(a)

28.

Which congruency rule applies to the following pair of triangles?

(a)

29.

Which congruency rule applies to the following pair of triangles?

(a)

30.

Which two triangles are congruent?

A and B

A and C

A and D

B and C

B and D

31.

What is the value of x?

(a)

32.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

SSS

SAS

ASA

AAS

Not congruent

33.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

SSS

SAS

ASA

AAS

RHS

34.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

SSS

SAS

ASA

AAS

RHS

35.

Angle 3 and Angle 6 are examples of which type of angle pair?

Alternate exterior angles

Alternate interior angles

Vertical angles

Corresponding angles

36.

Angle 1 and Angle 5 are examples of which type of angle pair?

Alternate exterior angles

Alternate interior angles

Vertical angles

Corresponding angles

37.

Angle 6 and Angle 7 are examples of which type of angle pair?

Alternate exterior angles

Alternate interior angles

Vertical angles

Corresponding angles

38.

Which of the following is NOT an example of supplementary angles?

$\angle7\ and\ \angle8$

$\angle2\ and\ \angle3$

$\angle1\ and\ \angle7$

$\angle6\ and\ \angle4$

39.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

$115\degree$

$65\degree$

$180\degree$

Cannot be determined

40.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

$63\degree$

$117\degree$

$180\degree$

Cannot be determined

41.

41°

65°

102°

115°

42.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

9ft x 10ft

1ft x 2ft

12ft x 6ft

18ft x 20ft

43.

If the map scale is 1:10,000, what is the actual distance if the map distance is 4 cm?

400 meters

4 kilometers

100 meters

40 meters

44.

Apply a scale factor of 1:30,000 to calculate the map distance if you know the real distance is 9 km.

30 cm

3 cm

0.3 cm

0.03 cm

45.

The scale drawing for Zoe's room is shown. If 1 in on the scale drawing equals 3 feet. What is the area for Zoe's room?

49 square feet

132 square feet

126 square feet

14 square feet

46.

A map has a scale of 1 : 20 000.

The area of the lake on the map is 12.5 cm². Find, in km², the actual area of the lake.

(a)

47.

A map is drawn to a scale of 1 : 500 000.

A country has an area of 40 000 km².

Find, in cm², the area representing the country on the map.

(a)

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G7 S2 Review Questions

Total questions: 47

Worksheet time: 3hrs 41mins

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