Geometry Ratios Triangles

What is the Angle-Angle (AA) Similarity Theorem?

• If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar

• If the corresponding side lengths of two triangles are proportional, then the triangles are similar

• If an angle of one triangle is congruent to an angle of a second triangle, then the triangles are similar

• If two triangles have the same area, they are similar

Find the value of x, rounded to the nearest tenth.

What is the name of the side opposite the right angle in a right triangle?

Find the missing angle measure, rounded to the nearest whole number.

Find the value of x, rounded to the nearest tenth.

Choose the correct ratio.

• sinZ=5/13

• sinX=5/13

• cosX=13/12

• tanZ=12/5

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

Which can be used to find the sides and angles of ANY triangle?

• SOH CAH TOA

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5