There are two polygons, ABCD and EFGH. Which of the following are similar?

AB=4 BC=7 CD=6 DA=3 EF=6 FG=10.5 GH=9 HI=4.5

AB=4 BC=5 CD=6 DA=3 EF=3 FG=4 GH=5 HI=2

AB=2 BC=2 CD=3 DA=3 EF=3 FG=3 GH=2 HI=2

AB=2 BC=3 CD=4 DA=2 EF=3 FG=5 GH=7 HI=3

Determine whether the triangles are similar. If so, what is the postulate or theorem that justifies your answer?

Similar by AA similarity theorem

Similar by SAS similarity theorem

Similar by ASA similarity theorem

Which of the following is NOT true about a kite?

It has two pairs of congruent opposite angles.

Its diagonals are perpendicular bisectors.

It has two pairs or consecutive congruent sides.

Exactly one pair of opposite angles are congruent.

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

The perimeter of the new triangle is ⅓ that of the original triangle

The perimeter of the new triangle is 3 times that of the original triangle.

The perimeter of the new triangle is 1/9 that of the original triangle.

The perimeter of the new triangle is 9 times that of the original triangle

What is the equation of a circle that has center (–6, 2) and radius √106 ?

(x − 6) 2 + (y + 2) 2 = √106

What is the difference between a square and a rectangle?

A rectangle is a quadrilateral with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length. A square is a quadrilateral with all four angles right angles and all four sides of the same length.

A square is a quadrilateral with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length. A rectangle is a quadrilateral with all four angles right angles and all four sides of the same length.

Both are quadrilaterals with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length.

Both are a quadrilateral with all four angles right angles and all four sides of the same length.

The triangle below is isosceles. How do we know this?

At least 2 angles are congruent

Geometry EOC Review

Mathematics

KG - University

CCSS covered

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This quiz comprehensively covers high school geometry concepts appropriate for grades 9-12, specifically designed as an End-of-Course (EOC) review. The content spans the full spectrum of coordinate geometry, including distance and midpoint formulas, slope relationships for parallel and perpendicular lines, and circle equations. Students need mastery of triangle congruence postulates (SSS, SAS, ASA, AAS) and similarity theorems, along with properties of special triangles and trigonometric ratios. The quiz extensively covers quadrilateral properties, transformations including dilations and rotations, and geometric proofs requiring logical reasoning. Advanced topics include area and volume calculations for various shapes, arc length and sector area, and real-world applications involving angle of elevation problems. Students must demonstrate fluency with radical expressions, proportional reasoning, and the ability to classify geometric figures by their most specific properties. This quiz was created by a classroom teacher who designed it for students studying high school geometry. This comprehensive assessment serves multiple instructional purposes, functioning effectively as a cumulative review before state testing, homework assignments to reinforce learning, or formative assessment to identify areas needing additional support. Teachers can use individual sections for targeted practice on specific topics like coordinate geometry, congruence and similarity, or measurement and area calculations. The quiz aligns with Common Core State Standards including G-CO (Congruence), G-SRT (Similarity, Right Triangles, and Trigonometry), G-C (Circles), G-MG (Modeling with Geometry), and G-GPE (Expressing Geometric Properties with Equations). The variety of question types, from computational problems to conceptual understanding and real-world applications, makes this an excellent tool for differentiated instruction and comprehensive geometry review.

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44 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the distance between these two points:
(3,1) and (7,4).

√11

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The midpoint of segment AB is (2,3). One endpoint is A(9,3). Find the coordinates of endpoint B.

(3.5, 0)

(7, 3)

(-5, 3)

(7, 0)

Tags

CCSS.HSG.GPE.B.6

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

The measure of an angle is 37°. What is the measure of its complimentary and supplementary angle?

Complimentary: 16°; Supplementary: 143°

Complimentary: 143°; Supplementary:16°

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fill in the blank

Substitution Property of Equality

Substitution Property of Congruence

Transitive Property of Equality

Transitive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the value of each variable.

X=69 Y=21

X=69 Y=111

X=111 Y=69

X=21 Y=69

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines are parallel?

A(2,4) B(4,7) and C(3,5) D(6,7)

A(7,0) B(9,2) and C(5,6) D(7,8)

A(4,1) B(9,1) and C(0,0) D(0,7)

A(4,3) B(6,0) and C(5,2) D(7,7)

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these lines are perpendicular?

A(4,1) B(5,3) and C(3,7) D(4,5)

A(4,8) B(4,9) and C(6,7) D(6,8)

A(3,4) B(5,7) and C(2,6) D(5,8)

A(1,7) B(9,3) and C(4,1) and D(5,3)

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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Geometry EOC Review

Find the distance between these two points:
(3,1) and (7,4).

The midpoint of segment AB is (2,3). One endpoint is A(9,3). Find the coordinates of endpoint B.