SAT MAth Practice questions – all topics
- Geometry and Trigonometry Weightage: 15% Questions: 5-7
- Area and volume
- Lines, angles, and triangles
- Right triangles and trigonometry
- Circles
SAT MAth and English – full syllabus practice tests
Question Easy
In the figure shown, right triangle $A B C$ is similar to right triangle $E D C$, where $\angle A C B$ is congruent to $\angle E C D$ and $A E=15$. What is the length of $\overline{C E}$ ?
А) 4
B) 5
C) 8
D) 10
▶️Answer/Explanation
D
Question
In rectangle \(ABCD\) above \(E\) is on \bar{DC}, \(F\) is on \( \bar{BC} , DE = 6\) and \(FC =1\) .
If angle A is trisected (divided into three equal angles) by \(\bar{AE}\) and \(\bar{AF}, \) what is the length of \( \bar{BF}\)
Answer/Explanation
Ans:
\(\angle DAB = 90^{\circ}\) is divided by 3 hence each angle = \(30^{\circ}\)
In triangle ADE
\(tan \theta =\frac{DE}{AD}\)
or
\(tan 30^{\circ} =\frac{6}{AD}\)
or
\(\frac{1}{\sqrt{3}}=\frac{6}{AD}\)
\(AD= 6\sqrt{3}\)
Now
\(BC = BF+FC\)
Hence
\(BF=BC-FC =AD-Fc as AD=BC\)
\(= 6\sqrt{3}-1\)
Question
In right triangle \(XYZ\), \(sinx = cos 20°\). What is the measure, in degrees, of angle \(X\)?
Answer/Explanation
Ans: 70
Question
What is the length of side AC in the triangle below?
- \(5\sqrt{3}\)
- 10
- 15
- \(10\sqrt{3}\)
Answer/Explanation
Ans: B
Question
Triangle ABC is similar to triangle DEF, where angle \(A\) corresponds to angle \(D\). What is the value of cos \(F\)?
Answer/Explanation
Ans: 4/5, .8