New York City SHSAT 2017

A square is a rectangle with four equal sides. The formula for the area of a square is Area = (Side)^2 In the diagram above, s = ...

A trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is In the diagram above, ...

Exercise xiii. What is the area of the parallelogram above? xiv. What is the area of the trapezoid above? xv. The rectangles abo ...

CIRCLES A circle is a figure for which each point is an equal distance from its center. In the diagram, O is the center of the c ...

There are 360 degrees in a circle. The circumference of a circle is the distance around it. It is equal to πd, or 2πr. In this e ...

OZ = 4 WX = OX = xvii. Radius = 8 Circumference = xviii. xix. Area = 16π ...

ESTIMATING Π π is approximately 3.14, but all you need to remember is that it’s a little more than 3. Radius = ...

COORDINATE GEOMETRY The diagram above represents the coordinate axes—the perpendicular “number lines” in the coordinate plane. T ...

Plotting Points If you were asked to graph the point (2, −3) you would start at the origin and count 2 units to the right and 3 ...

To use two points to find the slope of a line, use the following formula: In general, the slope of a line connecting the points ...

In the figure above, the length of segment AB is |7 − 1| = 6. The length of segment CD is |0 − (−4)| = 4. REMEMBER Length is alw ...

xxii. Find the lengths of the line segments graphed above: 1. AB = 2. CD = 3. EF = ...

...

Practice Set 1. In the figure above, segments AB, BC, CD, and AC are all equal. What is the value of x? (A) 30 (B) 45 (C) 60 (D) ...

(F) 39 (G) 45 (H) 52 (J) 55 (K) 62 If the perimeter of a square is 32 meters, then what is the area of the square, in square me ...

(F) 15 (G) 35 (H) 50 (J) 75 (K) 100 In triangle RST, if RS = RT, what is the degree measure of angle S? (A) 40 (B) 55 (C) 70 ( ...

8. In triangle XYZ, what is the measure of angle YXZ? (F) 18 (G) 36 (H) 54 (J) 72 (K) 90 9. If the perimeter of triangle ABC is ...

(F) 25 (G) 36 (H) 49 (J) 64 (K) 81 11. What is the value of a in the figure above? (A) 20 (B) 40 (C) 60 (D) 80 (E) 140 In the f ...

In the figure above, what is the value of x−y? (A) 30 (B) 45 (C) 75 (D) 105 (E) 150 ...

A square and a triangle are drawn together as shown above. The perimeter of the square is 64, and DC = EF. What is the area of t ...