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EOC Review: Quadrilaterals

Authored by ALICIA MORHAIM

Mathematics

10th Grade

CCSS covered

Used 8+ times

EOC Review: Quadrilaterals
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16 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Given parallelogram 𝐾𝐿𝑀𝑁, what is the value of 𝑠?

5

20

40

70

Answer explanation

Consecutive angles of a parallelogram are supplementary (=180)

Tags

CCSS.HSG.CO.C.11

2.

MATH RESPONSE QUESTION

3 mins • 1 pt

Media Image

Given parallelogram 𝐴𝐵𝐶𝐷 below, find the value of 𝑥.

Mathematical Equivalence

ON

Answer explanation

Opposite angles of a parallelogram are congruent.

Tags

CCSS.HSG.CO.C.11

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Given parallelogram 𝐺𝐻𝐽𝐾, find the values of 𝑎 and 𝑏.

𝑎=2 and 𝑏=24

𝑎=2 and 𝑏=42

𝑎=7 and 𝑏=24

𝑎=7 and 𝑏=42

Answer explanation

In a parallelogram, opposite sides are congruent & opposite angles are congruent.

Tags

CCSS.HSG.CO.C.11

4.

MATH RESPONSE QUESTION

3 mins • 1 pt

In parallelogram 𝐴𝐵𝐶𝐷, 𝐴𝐶=𝐷𝐵, 𝑚∠𝐴𝐵𝐶=2𝑥𝑦, and 𝑚∠𝐵𝐶𝐷=9𝑥+9. Find the value of 𝑦.

Mathematical Equivalence

ON

Answer explanation

When you draw a diagram, you realize that if the diagonals are congruent, the parallelogram must be a RECTANGLE, so each angle must equal 90 degrees.

Tags

CCSS.HSG.CO.C.11

5.

MATH RESPONSE QUESTION

3 mins • 1 pt

Media Image

Given rectangle 𝑊𝑋𝑌𝑍 below with 𝑊𝑉=18, find 𝑋𝑍. Enter your answer in the box.

Mathematical Equivalence

ON

Answer explanation

In a rectangle, diagonals are congruent and bisected!

Tags

CCSS.HSG.CO.C.11

6.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Media Image

Given rectangle 𝑄𝑅𝑆𝑇 with 𝑚∠𝑃𝑇𝑆=34° and 𝑄𝑆=10, select All the true statements.

𝑚∠𝑄𝑇𝑅=56°

𝑚∠𝑄𝑅𝑇=34°

𝑚∠𝑆𝑅𝑇=34°

𝑄𝑃=5

𝑅𝑇=10

Answer explanation

In a rectangle, diagonals are congruent and bisected. All angles are right angles (=90).

Tags

CCSS.HSG.CO.C.11

7.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Given rectangle 𝐷𝐸𝐹𝐺 below, select all the true statements.

𝑥+𝑦=12

𝐷𝐻 = 14

𝑚∠𝐺𝐷𝐻=30°

𝑚∠𝐹𝐸𝐻=60°

𝑚∠𝐹𝐻𝐸=60°

Answer explanation

In a rectangle, since diagonals are congruent and bisected, you can set each segment part equal and solve for x.

Use vertical angles and the isosceles triangle to solve for the missing angle measure.

Tags

CCSS.HSG.CO.C.11

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