MSM II Q4 Test 1 Review

MSM II Q4

Test 1 Review

What Makes a Triangle?

Drawing Triangles Circles Scale Angles

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

500 500 500 500 500

What Makes a Triangle? for 100

Will the side lengths make a triangle?

Explain.

4 in, 9 in, 2 in

Answer for What Makes a Triangle? for 100

No, they will not make a triangle because the

long side is not less than or equal to the sum of the two smaller sides.

What Makes a Triangle? for 200

Can two triangles with different side lengths

have the same 3 angle measures? Explain.

Answer for What Makes a Triangle?

for 200Yes, for example an

equilateral triangle will always have 60 degree angles no matter what the side lengths are.

What Makes a Triangle? for 300

Give 3 angles that do not form a

triangle.

Answer for What Makes a Triangle? for

300

See student work.

What Makes a Triangle? for 400

Can you make 2 different triangles using the same 3 side

lengths?

Answer for What Makes a Triangle?

for 400

No, 3 sides can only create one unique

triangle

What Makes a Triangle? for 500

True or False: If a triangle is scalene, it

can have 2 angles with the same measure.

Answer for What Makes a Triangle?

for 500False. A scalene triangle has 3

different side lengths and therefore 3 different angles. An isosceles triangle has 2 angles

the same and 2 sides the same.

Drawing Triangles for 100

Draw a scalene triangle.

Answer for Drawing Triangles for 100

See student work.

Drawing Triangles for 200

Draw an equilateral triangle with one side measuring 5

cm.

Answer for Drawing Triangles for 200

See student work.

Drawing Triangles for 300

Draw an acute triangle with one angle measuring

43 degrees.

Answer for Drawing Triangles for 300

See student work.

Drawing Triangles for 400

Draw a right triangle with one angle that

measures 60 degrees and another angle that measures 40 degrees.

Answer for Drawing Triangles for 400

Impossible

Draw a triangle with side lengths 4 cm, 1 cm, 3 cm

Drawing Triangles for 500

Answer for Drawing Triangles for 500

possible

Circles for 100

Find the perimeter of the track below. Round to the

tenths place.

Answer for Circles for 100

66.5 square inches

Circles for 200

If a circle is inscribed in a square with a perimeter of

20 cm, what is the circumference of the circle?

Answer for Circles for 200

15.7 cm

Circles for 300

Find the area of the track below. Round to the

tenths place.

Answer for Circles for 300

271 square inches

Circles for 400Pizza night! You call your favorite

pizzeria, DeLorenzo’s, to find out what kind of pizza’s they sell. They like to

play math games with their customers, so they present you with two options.

Which pizza is a better buy? Why?

Option A: Pizza pie with the radius of 10” for $13.95

Option B: Pizza pie with a circumference of 72” for $13.95.

Answer for Circles for 400

Option B. Check student answer for explanation.

Circles for 500The model is of an oval rose garden surrounded by grass. Find the area covered by

the grass. Round to the hundredths

place.

Answer for Circles for 500

6.86 square cm

Scale for 100

What is the scale of a drawing that shows a length of 2

inches when the actual length is 36 inches?

Answer for Scale for 100

The scale is 1 inch=18 inches

Scale for 200

On a scale drawing, a building is 5 ½ inches tall. If the scale

of the drawing is 1 in: 8 ft, how tall is the building?

Answer for Scale for 200

The building is 44 feet tall.

Scale for 300

For a school project, Leo is making a model of the Statue of Liberty. He is using a scale of 2 cm: 3m. The Statue of Liberty is 93 meters tall. How tall is Leo’s

model?

Answer for Scale for 300

The model is 62 cm tall

Scale for 400

The football team from Seaside takes a bus to a game in Dover, 87 miles away. On a

map, this distance is represented by 29 inches. What is the map’s scale?

Answer for Scale for 400

The scale is ½ inch=1 ½ miles

Scale for 500

Joan shows the scale drawing of her room below. If each 2cm on the scale drawing

equals 5 ft, find the area of her actual room.

Answer for Scale for 500

The area of her room is 110 feet.

Angles for 100

Name a pair of corresponding angles.

1 23 4

567 8

Answer for Angles for 100

Angle 1 and 6; Angle 3 and 7; Angle 2 and 5; Angle 4 and 8

Angles for 200

Name a pair of vertical angles in the figure below.

1

23

4

Answer Angles for 200

Angle 1 and angle 3 are vertical angles

Angles for 300If the measure of angle 1 is 155 degrees then so is the measure of angle 8. What relationship

makes this true?

1 23 4

567 8

Answer for Angles for 300

They are alternate exterior angles.

Angles for 400

If the measure of angle 4 is 25 degrees, what is the measure of

angle 2?

1

23

4

Answer for Angles for 400

115 degrees

Angles for 500

If angle 1 is 110 degrees and angle 6 is 60 degrees, what is

the measure of angle 3?

1 2 3

45

67

Answer for Angles for 500

Angle 3 measures 50 degrees.