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Tenth Grade (Grade 10) Geometry and Measurement Questions

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Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8

Sally is sitting 3.5 ft directly behind Jacob. Jacob is sitting 4 ft to the right of Andrew. How far away is Andrew from Sally? Round the answer to the nearest tenth of a foot.

1.9 ft
5.3 ft
7.5 ft
28.3 ft

Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8

In the circle pictured,

$O$ is the center of the circle and

$bar{AD}$ is tangent to the circle. If

$AD = 5 \ "cm"$ and

$DO = 6.4 \ "cm"$ , what is the length of the diameter of the circle, rounded to one decimal place? Hint: A line tangent to a circle is perpendicular to the radius of the circle at that point.

2.4 cm
4.0 cm
8.0 cm
16.2 cm

Grade 10 Three Dimensional Shapes

What is the surface area of cylinder with radius of 2 cm and height 8 cm?

$125.6 \ "cm"^2$
$120 \ "cm"^2$
$225.6 \ "cm"^2$
$225 \ "cm"^2$

Grade 10 Points, Lines, and Planes

Points contained on the same line.

coplanar
collinear
line
plane

Grade 10 Triangles CCSS: HSG-CO.C.10

What is the missing reason in step 6?

Given:

$ang BAC ~= ang BCA$ and

$bar{BD} _|_ bar{AC}$ (point

$D$ , the intersection of the altitude from B to

$bar{AC}$ not shown)
Prove:

$bar{AB} ~= bar{BC}$

Equilateral Triangle Height v1

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. ang BAC ~= ang BCA$	$1. "Given"$
$2. bar{BD} _\|_ bar{AC}$	$2. "Given"$
$3. ang BDA, ang BDC " are right angles"$	$3. "Definition of perpendicular lines"$
$4. ang BDA = ang BDC$	$4. "All right angles are congruent"$
$5. bar{BD} ~= bar{BD}$	$5. "Reflexive Property"$
$6. Delta BDA ~= Delta BDC$	$6. ""$
$7. bar{BA} ~= bar{BC}$	$7. "Corresponding sides of congruent triangles are congruent"$

Side-Side-Side Postulate
Hypotenuse-Leg Postulate
Angle-Angle-Side Postulate
Angle-Side-Angle Postulate

Grade 10 Points, Lines, and Planes

Name the figure.

Line GH
Line Segment GH
Ray GH
Plane GH

Grade 10 Angles

What is the total amount of degrees when you sum the interior angles of a triangle?

Grade 10 Circles

What can you tell about segment AB?

If AB were a part of a line it could be called a secant segment.
AB is a line segment.
All of the above
None of the above

Grade 10 Points, Lines, and Planes

Are two lines with the same slope are perpendicular?

Grade 10 Points, Lines, and Planes

How many dimensions does a point have?

no dimensions
one dimension
two dimensions
three dimensions

Grade 10 Triangles

A triangle has sides lengths of 1 and 2. What is a possible length for the third side of this triangle?

Grade 10 Circles

If chord AB passes through the center of the circle, what is its name?

the radius
the diameter
the chord
the line segment
the midline

Grade 10 Quadrilaterals

For each of the five quadrilaterals listed below, choose all of the correct properties of their diagonals.

	Diagonals Bisect Each Other	Diagonals are Perpendicular	Diagonals are Congruent
Square
Rectangle
Parallelogram
Rhombus
Kite
Isosceles Trapezoid

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

$Delta CDE$ ,

$m ang C = 35°$ and

$m ang E = 100°$ . In

$Delta XYZ$ ,

$m ang X = 100°$ and

$m ang Y = 45°$ . Which of the following is correct?

$Delta CDE \ ~ \ Delta XYZ$
$Delta CDE \ ~ \ Delta ZYX$
$Delta CDE \ ~ \ Delta ZXY$
$Delta CDE \ ~ \ Delta YZX$

Grade 10 Volume CCSS: HSG-GMD.A.3

Find the volume of a square pyramid with a base of 10 inches wide and a height of 18 inches.

180 cubic inches
360 cubic inches
1800 cubic inches
600 cubic inches

Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.6

Find the coordinates of the midpoint of line segment AB with endpoints A(6,10) and B(-2,4).
(2, 7)

Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2

How is the transformation between the two graphs best described?
Graph - Linear Function y=-x

Translation
Rotation
Reflection
Reflection or rotation

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5, HSG-SRT.C.8

$Delta ABC$ and

$Delta ACD$ are both right triangles, where

$ang B$ and

$ang D$ are right angles, and

$ang BAC ~= ang CAD$ . If

$AB = 24 \ "units"$ and

$AC = 25 \ "units"$ , what is the value of

$CD ?$ .

Not enough information.
49 units
24 units
7 units

Grade 10 Points, Lines, and Planes CCSS: HSG-CO.A.1

A(n) is a straight set of points that extend infinitely in both directions.

line
slope
intercept
origin

Grade 10 Angles

What is the definition of supplementary angles?

Two angles that add to be $180 deg$
Two angles that have a difference of $90 deg$
Two angles add to be $90 deg$
Two angles that have a difference of $180 deg$

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Tenth Grade (Grade 10) Geometry and Measurement Questions