MATH QA

When is a triangle considered an oblique triangle?

B. It has no right angle.

Which theorem relates the sides of a triangle to the sines of their opposite angles?

C. Law of Sines.

Which triangle can be solved first using the Law of Cosines?

C. SAS.

A triangle has sides measuring 10 cm, 12 cm, and 15 cm. Which theorem should be used to determine one of its angles?

B. Law of Cosines.

A student is given angle A = 42°, angle B = 63°, and side a = 18 cm. Which should be done first before finding the remaining sides?

B. Find the third angle.

Which triangle case is known as the ambiguous case?

B. SSA.

Which statement about the Law of Cosines is TRUE?

B. It can solve SAS and SSS triangles.

A surveyor knows two sides of a triangular lot and the included angle. Which theorem should be used first?

C. Law of Cosines.

Which transformation moves every point of a figure the same distance and in the same direction?

C. Translation.

Which transformation produces a mirror image of a figure?

C. Reflection.

What is the fixed point about which a figure rotates called?

B. Center of Rotation.

Which rule represents a reflection across the x-axis?

B. ((x,y)\rightarrow(x,-y)).

Point P(4, −3) is reflected across the y-axis. What are its new coordinates?

A. (−4, −3).

Point A(2, 5) is translated 4 units right and 3 units down. What are its new coordinates?

A. (6, 2).

Point B(6, 2) is rotated 180° about the origin. What are its coordinates?

A. (−6, −2).

Which transformation changes the orientation of a figure but preserves its size and shape?

B. Reflection.

A pilot flies 40 km east, then changes direction and flies 55 km at an angle of 65°. Which theorem is most appropriate for finding the direct distance between the starting and ending points?

B. Law of Cosines.

Why is the Law of Cosines preferred when solving an SSS triangle?

A. No angle is known initially.

Which coordinate rule represents a 90° counterclockwise rotation about the origin?

B. ((x,y)\rightarrow(-y,x)).

Maria solved a triangle by using the Law of Sines even though only the three side lengths were given. Why is her solution incorrect?

A. The Law of Sines cannot be used first for an SSS triangle.

Which triangle case has two sides and the INCLUDED angle?

B. SAS.

Which triangle case has two sides and an angle that is NOT between them?

C. SSA.

Which case can produce two possible triangles?

D. SSA.

What does the word included mean in SAS?

B. The angle is between the two known sides.

Which rule represents a 180° rotation about the origin?

C. ((x,y)\rightarrow(-x,-y)).

Point C(−3, 7) is reflected across the x-axis. What are its new coordinates?

B. (−3, −7).

Point D(5, −2) is reflected across the y-axis. What are its new coordinates?

A. (−5, −2).

Which transformation changes the size of a figure?

D. Dilation.

If a problem gives SSS, which Law should you think of FIRST?

B. Law of Cosines.

If a problem gives SSA, what should immediately come to mind?

B. Ambiguous case.