Second Semester Benchmark Tool Kit

Fjelstrom 1

BM 26: Similarity Theorems

Determine if the two triangles are similar. If so, write a similarity statement. Support your

answer.

Why? _______________

Why? ______________

BM 27: Proving Similar Triangles

Given: RB = 14, BD = 28, QB = 13, and BC = 26

Prove: ∆���~∆���

Statements: Reasons:

BM 28: Solving Similar Triangles

Solve for x.

BM 29: Pythagorean Theorem

Solve for x. Leave answers in simplest radical form.

Second Semester Benchmark Tool Kit

Fjelstrom 2

BM 30: Speical Triangles

Solve for the missing sides. Leave your answers in simplest radical form.

BM 31: Trigonometric Ratios

Solve for the missing side. Round answers to the nearest hundreth.

BM 32: Classifying Polygons

Name the polygons.

BM 33: Interior Angles of Polygons

Find the measurement of the missing angle.

What is the measure of one interior angle of a

dodecagon?

Second Semester Benchmark Tool Kit

Fjelstrom 3

BM 34: Exterior Angles of Polygons

What is the number of sides in a regular

polygon with one exterior angle measurement

of 18 degrees?

How many sides does a regular polygon have if

the interior angle is 144 degrees?

BM 35: Quadrilateral Area

What is the area?

BM 36: Polygon Area

What is the area of a regular decagon with sides of 12 cm?

BM 37: Circumference and Arc Length of Circles

Determine the following:

Circumference:

Length of the bold arc:

Second Semester Benchmark Tool Kit

Fjelstrom 4

BM 38: Area and Sector Area of Circles

Determine the following:

Area:

Area of the sector:

BM 39: Tangents of Circles

Find the missing value.

BM 40: Inscribed Angles

Find the missing angle or arc measurement.

BM 41: Angles Inside Circles

Find the missing arc measurement or angle.

Second Semester Benchmark Tool Kit

Fjelstrom 5

BM 42: Angles Outside Circles

Find the missing arc measurement or angle.

BM 43: Chords/Secants of Circles

Solve for x.

BM 44: TSA and Volume of Prisms

Calculate the Total Surface Area and Volume of the solids below.

Second Semester Benchmark Tool Kit

Fjelstrom 6

BM 45: TSA and Volume Pyramids

Calculate the Total Surface Area and Volume of the solids below.

BM 46: TSA and Volume of Cylinders

Calculate the Total Surface Area and Volume of the solids below.

BM 47: TSA and Volume of Cones

Calculate the Total Surface Area and Volume of the solids below.

BM 48: TSA/Volume of Spheres

Determine the total surface area and volume of the sphere.

Second Semester Benchmark Tool Kit

Fjelstrom 7

BM 49: Similar Solids

The similarity ratio between two solids is 3:4. If the surface area and volume of the smaller

figure is given, find the surface area and volume of the larger.

SA: 162 sq. mi.

V: 756 cu. mi.

BM 50: Reflect, Translate, and Rotate

Find the coordinates of the vertices of each figure after the given transformation.