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Bibliotek

STAAR Geometry - GIA Spring 2026

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Sidst opdateret 3 months ago
52 Spørgsmål
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Instructions

This is a STAAR Geometry Assessment Test with multiple-choice and griddable questions.

Choose the best answer for each multiple-choice question. For griddable questions, enter your answer carefully.

You may use the scratch paper provided to work through problems and draw diagrams. Only answers submitted on the computer will be counted.

Each problem includes 2 hints. Make good use of them, but do not spend too much time on any one question. If you are stuck, eliminate choices, make your best selection, and move on.

Pay close attention to units, rounding directions, and any given value of π

Spørgsmål 1
1.

What is the measure of each interior angle of a regular 12-gon?

Spørgsmål 2
2.

Consider the following statements.
A prime number is a natural number that has no positive divisors other than 1 and itself.
The numbers 3, 5, and 7 are prime numbers.
Therefore, all prime numbers are odd numbers.
Which counterexample can be used to show that the conclusion is not always true?

Spørgsmål 3
3.

Which of the following is an essential difference between Euclidean geometry and spherical geometry?

Spørgsmål 4
4.

A right triangle is drawn on a coordinate grid. One of the two legs can be modeled by the equation $y = 2x + 5$. Which equation could model the other leg of the right triangle?

Spørgsmål 5
5.

When the ordered pairs $A(1, 1)$, $B(3, 5)$, $C(7, 5)$, and $D(9, 1)$ are connected, what needs to be true in order to prove $ABCD$ is a trapezoid?

Spørgsmål 6
6.

$\triangle ABC$ and $\triangle DEF$ are similar.

Which of the following must be true about the similar triangles?

Spørgsmål 7
7.

The sum of the interior angles of a triangle is $180^\circ$. The sum of the interior angles of a quadrilateral is $360^\circ$. The sum of the interior angles of a pentagon is $540^\circ$. Use what you know about the sum of the interior angles of a triangle, quadrilateral, and pentagon. What is the sum, in degrees, of the interior angles of a hexagon?
Record your answer and fill in the bubbles on your answer document.

Spørgsmål 8
8.

A circle centered at $(-1,3)$ passes through the point $(4,6)$. What is the approximate circumference of the circle?

Spørgsmål 9
9.


Three triangles and their midsegments are shown.
What conjecture can you make about the midsegment of a triangle?

Spørgsmål 10
10.

The orthocenter of a triangle is the point where the altitudes of a triangle intersect. Which set of steps shows how to construct the orthocenter of a triangle?

Spørgsmål 11
11.

Using the Law of Detachment and the given statements, what is the conclusion?
If a person is on the company’s payroll, then the person is an employee.
Jackson is on the company’s payroll.

Spørgsmål 12
12.

What is the equation of the line that passes through the point $(-8, 2)$ and is perpendicular to the line $y = -2x + 6$?

Spørgsmål 13
13.

The table below relates the number of sides of a polygon to the number of diagonals.

Which expression can you use to find the number of diagonals in a polygon?

Spørgsmål 14
14.

What is the cross section formed by a plane intersecting a sphere?

Spørgsmål 15
15.

Triangle $ABC$ is shown below.

Approximately how much longer is $\overline{AC}$ than $\overline{AB}$?

Spørgsmål 16
16.

Three rhombuses and their diagonals are shown.

What conjecture can be made about the diagonals of a rhombus?

Spørgsmål 17
17.

In the figure below, $\overline{DE}$ is parallel to $\overline{GH}$.

If the perimeter of $\triangle DEF$ is 22 mm, $DF = 8$ mm, and $FG = 4$ mm, what is the perimeter of $\triangle GHF$?

Spørgsmål 18
18.

What is the value of $x$?

Spørgsmål 19
19.

Damon’s cup is in the shape of a cylinder. The height of the cup is 6 inches and the base has a diameter length of 2.5 inches. Damon fills the cup three-fourths full of water. How much water, in cubic inches, is in the cup? Use 3.14 for $\pi$. Round to the nearest hundredth(2 decimal places).
Record your answer and fill in the bubbles on your answer document.

Spørgsmål 20
20.

A line segment has endpoints of $(-2, 6)$ and $(-4, -9)$. What is the midpoint of the line segment?

Spørgsmål 21
21.

Let points $A$, $B$, $C$, $D$, and $E$ be collinear. Let $B$ be the midpoint of $\overline{AC}$, let $C$ be the midpoint of $\overline{BD}$, and let $D$ be the midpoint of $\overline{CE}$. What justification can you use to fill in the blank to prove that $C$ is the midpoint of $\overline{AE}$?
Because $B$, $C$, and $D$ are the midpoints of $\overline{AC}$, $\overline{BD}$, and $\overline{CE}$, respectively, you know that $\overline{AB} = \overline{BC}$, $\overline{BC} = \overline{CD}$, and $\overline{CD} = \overline{DE}$. By the ____?, $\overline{AB} = \overline{DE}$. By the Addition Property of Equality, $\overline{AB} + \overline{BC} = \overline{CD} + \overline{DE}$. But $\overline{AB} + \overline{BC} = \overline{AC}$ and $\overline{CD} + \overline{DE} = \overline{CE}$, so $\overline{AC} = \overline{CE}$. Therefore, $C$ is the midpoint of $\overline{AE}$.

Spørgsmål 22
22.

Using the Law of Syllogism and the given statements, what is the conclusion?
If a quadrilateral is a square, then it has four congruent sides.
If a quadrilateral has four congruent sides, then it is a rhombus.

Spørgsmål 23
23.

How many faces does a polyhedron have if it has 8 vertices and 12 edges?

Spørgsmål 24
24.

The volume of a rectangular prism is $400\text{ cm}^3$. If each dimension of the rectangular prism is doubled, how is the volume affected?

Spørgsmål 25
25.

What is the approximate total surface area of the cylinder shown below? Use 3.14 for $\pi$. Round to the nearest tenth.

Spørgsmål 26
26.

If $\angle C$ and $\angle D$ are supplementary angles and the measure of $\angle D$ is $f$, which equation can be used to find $e$, the measure of $\angle C$?

Spørgsmål 27
27.

A ten-foot ladder is placed on the side of a house. The distance between the base of the ladder and the house is 5 feet. How far up the house, in feet, does the ladder reach? Round to the nearest tenth (1 decimal place).
Record your answer and fill in the bubbles on your answer document.

Spørgsmål 28
28.

Triangle $CDE$ is congruent to triangle $LMN$. Which side is congruent to $LN$?

Spørgsmål 29
29.

Which of the following best represents the front view of the figure shown below?

Spørgsmål 30
30.

What transformation(s) are used to make the pattern shown below from one of its hexagonal tiles?

Spørgsmål 31
31.

Triangle $ABC$ is a $30^\circ$-$60^\circ$-$90^\circ$ triangle. If triangle $A'B'C'$ is the result of reflecting triangle $ABC$ over the x-axis, what are the angle measures of triangle $A'B'C'$?

Spørgsmål 32
32.

Dean has a table with a circular top. What is the area, in square feet, of the table top? Use 3.14 for $\pi$. Round your answer to the nearest tenth(1 decimal place).

Record your answer and fill in the bubbles on your answer document.

Spørgsmål 33
33.

Kristy is building a ramp. The right face of the ramp is in the shape of a right triangle. The base length and height of the ramp are shown. What is the distance along the inclined portion of the ramp?

Spørgsmål 34
34.

Which equation represents the pattern, where $x$ is the figure number and $y$ is the number of dots in the figure?

Spørgsmål 35
35.

Trapezoid $ABCD$ is graphed on the coordinate plane shown below.

Which set of coordinates represents the vertices of a trapezoid congruent to trapezoid $ABCD$?

Spørgsmål 36
36.

What is the approximate area of the shaded region below? Use $3.14$ for $\pi$. Round to the nearest tenth.

Spørgsmål 37
37.

The following points can be used to determine several lines:
$A(3,-9),\ B(0,-2),\ C(4,5),$
$D(5,19),\ F(-2,20),\ G(12,19)$
Which line is perpendicular to $\overrightarrow{AC}$?

Spørgsmål 38
38.

$\triangle ABC \cong \triangle XYZ$

What is the measure of $\angle X$?

Spørgsmål 39
39.

If the triangles are similar, which theorem or postulate proves they are similar?

Spørgsmål 40
40.

The triangles shown are similar.

What is the value of $x$?
Record your answer and fill in the bubbles on your answer document.

Spørgsmål 41
41.

In the triangle shown below, what is the approximate length of $\overline{FG}$?

Spørgsmål 42
42.

A circle is drawn inside a rectangle. Point $L$ in the rectangle is chosen at random. What is the probability that point $L$ lies in the shaded region? Use $3.14$ for $\pi$. Round to the nearest percent.

Spørgsmål 43
43.

Look at the following progression of figures.

Based on this pattern, what do you think is an expression for the sum of the first $n$ odd numbers?

Spørgsmål 44
44.

The midpoint of $\overline{JK}$ is $(-4,1)$. If $J$ has coordinates $(6,2)$ and $K$ has coordinates $(x,y)$, which equation can be used to find $x$?

Spørgsmål 45
45.

In the figure below, $\overline{AC}$ is parallel to $\overline{DE}$ and $\overline{BC}$ is three times as long as $\overline{BE}$. Which of the following statements is true?

Spørgsmål 46
46.

What is the area of the figure shown below?

Spørgsmål 47
47.

Which set of ordered pairs contains only coordinates of vertices of the polygon graphed below?

Spørgsmål 48
48.

Craig has a carpet remnant with the dimensions shown below.

What is the area of this remnant?

Spørgsmål 49
49.

What is the area of the figure? Use 3.14 for $\pi$. Round to the nearest hundredth.

Spørgsmål 50
50.

The net below shows the surface of a cube.

Which letter is on the face parallel to the face with the letter Q?

Spørgsmål 51
51.

Right triangle $DEF$ has side lengths of 9 feet, 40 feet, and 41 feet. Which of the following are side lengths of a triangle similar to triangle $DEF$?

Spørgsmål 52
52.

A cone has a volume of 35 cm$^{3}$. If the radius of the cone is doubled and the height is held constant, what will be the new volume of the cone?