Geometry Review

Vocabulary

100

Intersection of 3D figure or plane

Cross Section

200

Distance around a circle

Circumference

300

Angles that sum up to 180^o

Supplementary Angles

400

Angles that share the same vertex and are opposite of each other.

Vertical Angles

500

A ratio between two sets of measurements

Scale

Area, Volume, and Surface Area

100

What is the volume of a 8in. cube?

V=a³

V=8³

V=512in.³

200

If the radius of a circle is 8ft, what is the area?

A=πr²

A=π(8)²

A=64π

A≈201.06πft²

300

What is the surface area of a rectangular prism if the length is 14, the width is 8, and the height is 4?

SA=2(lw+wh+hl)

SA=2(14x8+8x4+4x14)

SA=400ft²

400

What is the volume of a rectangular prism if the length is 12yd, the width is 4yd, and the height is 6yd?

V=lwh

V=(12)(4)(6)

V=288yd³

500

What is the surface area of the triangular prism?

A=lw

A=8(12)

A=96(2)=192ft

A=lw

A=10(8)

A=80ft

A=1/2bh

A=1/2(10)(6)

A=5(6)

A=30ft

192+80+30=302ft²

SA=302ft²

Circumference

100

The diameter of the circle is 6cm, what is the radius?

r=3cm

200

What is the circumference of a circle if the diameter is 9cm?

C=πd

C=π9

C≈28.27πcm

300

Find a circumference of a circle with a radius of 5cm?

r=5cm

d=10cm  

C=πd

C=π10

C≈31.42πcm

400

Calculate the circumference of a circle whose diameter is 70 cm.

C=πd

C=π70

C≈219.9πcm

500

What is the circumference of a circle, if the diameter is 14yd?

C=πd

C=π14

C≈43.98πyd

Angles and Angle Relationships

100

What's the measure of a right angle?

90^o

200

What is the angle relationship between <3 and <5?

Angles <3 and <5 are vertical angles

300

What is the measurement of <PVU?

m<PVU=63^o

400

Angle A is complementary to angle B. Angle A is supplementary to angle C. The measure of angle C is 102^o. What is the measure of angle B?

180^o-102^o=78^o

90^o-78^o=12^o

m<B=12^o

500

What is the vaule of x in this figure?

3x+45=180^o

     -45=-45

       3x=135

         x=45^o

Scale drawings

100

What is the length of the tree if the scale fasctor of a tree is 1 inch=3 feet and the actual is 15 inches?

1in/3ft=15in/X

1x/1=45/1

x=45ft

200

What is the length of a turtle if the scale factor is 1 inch=0.5 foot and the actual is 2.34 inches?

1in/0.5ft=2.34in/X

1x/1=1.17/1

x=1.17ft

300

Mario builds a miniature model of a car based on the dimensions of a actual car. He uses a scale factor of 1 foot=0.2 inch. Determine the length of the miniature model, if the actual car is 13.4 feet long.

1ft/0.2in=13.4ft/X

1x/1=2.68/1

x=2.68ft long

400

Larry made a scale drawing of his farmhouse. He used a scale factor of 1 inch=1.6 feet. If the height of the drawing is 17.4 inches, compute the actual height of the farmhouse.

1in/1.6ft=17.4in/X

1x/1=27.84/1

x=27.84ft

500

On a scale drawing of a horse, the scale is 1cm:10mm. If a real horse is 1,500mm tall, how tall is the horse on the scale drawing?

1cm/10mm=X/1,500mm

10x/10=1,500/10

x=150cm