Test - LEAP 2025 Geometry Post Test

LEAP 2025 Geometry Post Test Sample

1 pt Standard: G-GPE.A.1 DOK: 3

The equation $x^{2} + y^{2} - 16 x + 12 y = j$ describes a circle.

Part A

Determine the x-coordinate of the center of the circle.

1 pt Standard: G-SRT.B.5 DOK: 2

Solve for x. Triangle EFG is similar to triangle EUV.

What is the value of x?

x=2

x=4

x=6

x=8

1 pt Standard: G-GPE.B.6 DOK: 3

Point M lies on $J K$ , where J is located at (–6, –3) and point K is at (9, 7). If JM:MK = 2:3, where is point M on $J K$ ?

List the coordinates of point M.

Draw point M in the appropriate location on the graph given.

(0,1)

(0,0)

(1,1)

(1,0)

1pt Standard: G-GMD.B.4 DOK: 2

11.

Match the following 3-dimensional figure terms with the correct definitions.

A curved surface, with all points on its surface being equal distant from a fixed, center point.

1pt

11.

A shape with a circular base and a triangular vertex.

1 pt

13.

Part B

Using the same angle measure found in part A, find the necessary height, in inches, of support beam 2, if it is built 30 inches to the right of the beginning of the ramp.

1 pt Standard: G-SRT.C.7 DOK: 2

14.

Use the triangle to answer the question.

In the right triangle PQR, $m ∠$ R $\neq m ∠$ Q. Let sin R = a + b and cos R = c.

What is $\frac{\sin Q}{\cos Q}$ ?

$\frac{a + b}{c}$

$\frac{c}{a + b}$

–1

1 pt Standard: LEAP.I.GM.5 S-CP.A.4 DOK: 2

19.

Part A

What is the probability that a randomly selected student is an 8th grader given that the student is in 2nd lunch?

$\frac{4}{11}$

$\frac{8}{69}$

$\frac{91}{66}$

$\frac{91}{207}$

1 pt

20.

Part B

If the distance from point A to point B is 3 units and the distance from point A to point C is 8 units, what is the measure of θ to the nearest tenth.

20.3°

20.4°

20.5°

20.6°

1 pt

21.

In circle M, points C, L, J, and K lie on the circle. JL is a diameter for the circle.

Part A

If $∠$ CKL = 43° , find the measure of $\overset{⏜}{J C}$ .

83°

84°

85°

86°

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