LEAP 2025 Geometry Additional & Supporting Content Practice

Additional & Supporting Content skills

Congruence/angle and circle-related supporting content

Geometric proofs and constructions content

Coordinate and geometric measurement content

Content and evidence statements include G-CO, G-C, G-GPE, G-GMD, and Geometry LEAP evidence statements

Standards basis

K-12 Louisiana Student Standards for Mathematics (Louisiana Student Standards for Mathematics / LSSM) — Louisiana

How the LEAP 2025 reports it

LEAP 2025 is Louisiana’s state assessment system. Its math tests are aligned to the K-12 Louisiana Student Standards for Mathematics, which are CCSS-derived but state-specific in wording, structure, and evidence statements.

Blueprint & weighting

Published guidance shows that Grades 3-8 use three reporting categories with grade-specific point distributions; Grade 5 has 27 points Major Content, 9 points Additional & Supporting, and 16 points Mathematical Reasoning & Modeling. Algebra I is 28 points Major Content, 14 points Additional & Supporting, 11 points Expressing Mathematical Reasoning, and 15 points Modeling & Application. Geometry is 26 points Major Content, 16 points Additional & Supporting, 11 points Expressing Mathematical Reasoning, and 15 points Modeling & Application.

Official sources

Louisiana Department of Education assessment guidance
LEAP 2025 Assessment Guide for Grade 5 Mathematics
LEAP 2025 Assessment Guide for Algebra I

8 free questions · 0/0 correct

Practice playeasy

Two parallel lines are cut by a transversal. A pair of corresponding angles measure $(3x+16)°$ and $(2x+34)°$ . What is the measure of each of these angles?

Corresponding angles are congruent: $3x+16=2x+34$ , so $x=18$ . Each angle measures $3(18)+16=70°$ .

Practice playeasy

The graph of the equation $(x - 9)^2 + (y - 2)^2 = 64$ is a circle in the coordinate plane. The point $(a, b)$ lies on the circle. Which of the following is a possible value for $b\textsf{?}$

The center is $(9, 2)$ and the radius is $8\textsf{.}$ A point on the circle must satisfy $2 - 8 \le b \le 2 + 8\textsf{,}$ so $-6 \le b \le 10\textsf{.}$ The value $4$ is in this interval.

Practice playeasy

Find the midpoint of $(4, 6)$ and $(10, 2)$ . What is the $x$ -coordinate?

$x$ -coordinate $= \dfrac{4 + 10}{2} = \dfrac{14}{2} = 7$ .

Practice playmedium

The equation of a line is $y = \dfrac{2}{3}x + 5$ . Which equation represents the line that is parallel to this line and passes through the point $(-3, 4)$ ?

Parallel lines have the same slope, so $m = \dfrac{2}{3}$ . Substitute $(-3, 4)$ into $y = \dfrac{2}{3}x + b$ : $4 = \dfrac{2}{3}(-3) + b = -2 + b$ , so $b = 6$ . The equation is $y = \dfrac{2}{3}x + 6\textsf{.}$

Practice playeasy

Line $a$ is defined by $y = -x + 11$ . Line $b$ is parallel to line $a$ in the coordinate plane. What is the slope of line $b$ ?

Parallel lines have the same slope. In $y = -x + 11$ , the slope is $-1$ , so the slope of line $b$ is also $-1\textsf{.}$

Practice playeasy

Find the volume of a cylinder with radius $2$ and height $4$ . Use $\pi = 3$ .

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

A culvert pipe is a right circular cylinder with an inside diameter of $12$ inches and a length of $20$ inches. What is the volume of the pipe's interior, in cubic inches?

The radius is $6$ inches. $V = \pi r^{2} h = \pi (6)^{2}(20) = 720\pi$ cubic inches.

Practice playmedium

A circle in the coordinate plane has a diameter with endpoints $(0, 0)$ and $(6, 8)\textsf{.}$ What is the radius of the circle?

The diameter length is $\sqrt{(6 - 0)^2 + (8 - 0)^2} = \sqrt{36 + 64} = \sqrt{100} = 10\textsf{.}$ The radius is half the diameter, so $r = \dfrac{10}{2} = 5\textsf{.}$

LEAP 2025 Geometry Additional & Supporting Content. Practice it free.

Additional & Supporting Content skills

Congruence/angle and circle-related supporting content

Geometric proofs and constructions content

Coordinate and geometric measurement content

Content and evidence statements include G-CO, G-C, G-GPE, G-GMD, and Geometry LEAP evidence statements

Topics mapped to this domain

Algebra and polygon angle measures (ACT)

Possible coordinates on a circle (SAT)

Midpoint formula

Parallel and perpendicular lines through a point (SAT)

Parallel and perpendicular slopes from slope-intercept form

Surface area and volume

Volume word problems (ACT)

Circle diameter endpoints to radius (SAT)

Circle equation translations (ACT/SAT/PSAT 8/9/10)

Conic sections

Equation of a circle

Advanced area formulas

8 free questions · 0/0 correct

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