Geometry Regents Review

Logic

100

What is the converse of: If I don't each lunch, then I am not hungry.

If I am not hungry, then I don't each lunch.

200

What is the inverse of: If my dog is not healthy, then he will go to the vet.

If my dog is healthy, then he will not go to the vet.

300

What is the contrapositive of: If I drink water, then I am thirsty.

If I am not thirsty, then I do not drink water.

400

"If x is even, then it is divisible by 4" is false when x equals a. 2 b. 4 c. 8 d. 16

a. 2

500

Is "2 angles are congruent if they have the same measure" expressed as a biconditional? Explain.

No, do not include the words "if and only if"

Triangles

100

In an isosceles triangle, one base angle measures 13^o. What is the measure of the vertex angle?

154^o

200

Could {7,9,11} represent the lengths of the sides of a triangle? Explain.

Yes, it could be a scalene triangle

300

A 10 foot ladder leans against a garage. The base of the ladder is 6 feet from the base of the garage. How high is the garage?

8 feet

400

The lengths of the sides of a triangle are 7, 8, and 10. If the length of the shortest side of a similar triangle is 21, what is the length of the longest side?

30

500

If a triangle has angle measures of 60, 60, and 60, then the triangle is?

equilateral

Transformations

100

Rule: (x, y) ---> (x, -y);

Reflection in the x-axis

200

If P= (0,-2), what is P₁ with the reflection across the y-axis?

P₁ = (0,-2)

300

If a translation maps (x,y)--->(x-2,y+3), what are the coordinates of A', the image of A(-2,-6) after this translation?

(-4,-3)

400

If M = (2,1) what is M₁ with a rotation 180^o around the origin?

(-2,-1)

500

The coordinates of A are (2,5). Using T(x-4,y+2), what are the coordinates of A', the image of A?

(-2,7)

Coordinate Geometry

100

Find the distance between (9,-4) and (3,-5) to the nearest tenth.

6.1

200

What is the slope of the line determined by the points (-1,2) and (-2,9)?

7/-1 or -7

300

A line segment has endpoints (1,3) and (7,y) with midpoint (4, 7). Find y.

y=11

400

Is the slope of y= -3 Undefined or Zero?

Zero

500

What is the formula for midpoint?

M=(x1+x2/2,y1+y2/2)

Miscellaneous

100

Which quadrilateral has diagonals that are perpendicular and congruent? (rhombus, square, trapezoid, or parallelogram)

Square

200

What is the y-intercept of the equation: y=-2x -8?

-8

300

The sides of a rectangle are 12 and 16. What is the measure of a diagonal?

20

400

Find the volume of a right rectangular prism with l=14cm, w=12cm, and h=5cm.

840 cm³

500

What is the formula to find the sum of the interior angles of any polygon?

interior sum=180 (n-2)