Congruence
similarity
trigonometry
circles
surface area and volume
100

Two triangles have side lengths 6 cm, 8 cm, and 10 cm. Another triangle has side lengths 6 cm, 8 cm, and 12 cm. Since two sides are the same, the triangles are congruent.

True or False 

False

100

Two triangles are similar. The sides of the first triangle are 3cm, 4cm, and 5cm. The smallest side of the second triangle is 9cm. What are the lengths of the other two sides of the second triangle.

12, and 15

100

A right triangle has an opposite side of 6cm, and a hypotenuse of 10cm

find sin

3/5

100

A circle has a radius of 7cm. Find the circumference of the circle using 3.14

43.96cm

100

A cylinder has a radius of 4cm and a height of 10cm. Find the surface 

351.68

200

Two triangles have sides 5cm, 7cm, and 9cm. Which congruence theorem proves the triangles are congruent?

Congruent by SSS

200

Triangle ABC is similar to triangle DEF. If AB=8cm,BC=12cm,and DE =14cm, Find EF.

21

200

A ladder leans against a wall, forming a right triangle. The ladder is 13ft long, and the base of the ladder is 5t from the wall.

find the height the ladder reaches on the wall.

12

200

A circle has a diameter of 12 inches. Find the area of the circle using 3.14

113.04in2

200

A cone has a radius of 6cm and a height of 9cm. Find the volume

339.12m

300

Two triangles have side lengths of 8 cm, 15 cm, and 17 cm, while another triangle has corresponding side lengths of 8 cm, 15 cm, and 17 cm. One triangle also contains a right angle between the 8 cm and 15 cm sides.

Which congruence theorem can be used to prove the triangles are congruent, and why?


Because all three corresponding sides are equal, the triangles are congruent by the SSS Congruence Theorem.




300

In triangle ABC, point D is on side AB and point E is on side AC. DE is parallel to BC, making triangle ADE similar to triangle ABC 

Find AE

12

300

A person stands 30ft away from a building. The angle of elevation to the top of the building is 48. Find the height of the building to the nearest tenth.

33.3ft

300

A circle has a radius of 10ft. Find the length of an arc with a central angle of 72 using 3.14

12.56ft

300

A sphere has a radius of 7inches. Find both the surface area and the volume.

Surface area=615.75in

volume= 1436.76in

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