Geometry and Trigonometry… | SAT Math Section

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Mar 27, 2024

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$x^{2}+20x+y^{2}+16y=-20$The equation above defines a circle in the $xy$-plane. What are the coordinates of the center of the circle?

Difficulty: Hard

$(-20,-16)$

$(-10,-8)$

$(10,8)$

$(20,16)$

A rectangle has an area of 63 square meters and a length of 9 meters. What is the width, in meters, of the rectangle?

Difficulty: Easy

7

54

81

567

What is the diameter of the circle in the $xy$-plane with equation $\left(x-5\right)^{2}+\left(y-3\right)^{2}=16$?

Difficulty: Hard

4

8

16

32

Triangle $XYZ$ is similar to triangle $RST$ such that $X$, $Y$, and $Z$ correspond to $R$, $S$, and $T$, respectively. The measure of $\angle Z$ is $20^{\circ}$ and $2XY=RS$. What is the measure of $\angle T$?

Difficulty: Hard

2^{\circ}

10^{\circ}

20^{\circ}

40^{\circ}

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