Geometry EOC Review #8

What is the converse of this statement?

𝐼𝑓 𝑎 𝑟𝑜𝑎𝑑 𝑠𝑖𝑔𝑛 𝑖𝑠 𝑟𝑒𝑑, 𝑡h𝑒𝑛 𝑖𝑡 𝑖𝑠 𝑎 𝑠𝑡𝑜𝑝 𝑠𝑖𝑔𝑛.

• If a road sign is a stop sign, then it is red.

• If a road sign is not a stop sign, then it is not red.

• If a road sign is not red, then it is not a stop sign.

• If a stop sign is red, then it is a road sign.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

What is the contrapositive of the statement below?

If a triangle is isosceles, then it has two congruent sides.

• If a triangle does not have two congruent sides, then it is not isosceles.

• If a triangle is isosceles, then it does not have two congruent sides.

• If a triangle has two congruent sides, then it is isosceles.

• If a triangle is not isosceles, then it does not have two congruent sides.

Tags

CCSS.7.G.A.2

Which statement is the inverse of the statement below?

If a quadrilateral is a rectangle, then it is a parallelogram.

• If a quadrilateral is not a parallelogram, then it is not a rectangle.

• If a quadrilateral is a parallelogram, then it is a rectangle.

• If a quadrilateral is not a rectangle, then it is not a parallelogram.

• A quadrilateral is a rectangle if and only if it is a parallelogram.

Look at the conditional statement.

“If a figure is a pentagon, then it has five sides”

Which statement is the inverse?

• If a figure has five sides, then it is a pentagon.

• If a figure is a pentagon, then it does not have five sides.

• If a figure does not have five sides, then it is not a pentagon.

• If a figure is not a pentagon, then it does not have five sides.

What is the converse of the statement “If Bob does his homework, then George gets candy”?

• If George gets candy, then Bob does his homework.

• Bob does his homework if and only if George gets candy.

• If George does not get candy, then Bob does not do his homework.

• If Bob does not do his homework, then George does not get candy.

What is the contrapositive of the statement, “If I am tall, then I will bump my head”?

• If I bump my head, then I am tall.

• If I do not bump my head, then I am tall.

• If I am tall, then I will not bump my head.

• If I do not bump my head, then I am not tall.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Mari created the circular window represented below. She knew that ∠1 and ∠2 were supplementary and that ∠1 ≅ ∠3 because they were vertical angles. What must be true about ∠2 and ∠3?

• ∠2≅∠3

• ∠2 is complementary to ∠3

• ∠2 is supplementary to ∠3

• ∠2 and ∠3 are both right angles

Tags

CCSS.7.G.B.5

Given: 𝑘 ∥ 𝑚 ∥ 𝑛

Which statement justifies the conclusion that ∠1 ≅ ∠2 ≅ ∠3 ?

• If 𝑘 ∥ 𝑚 ∥ 𝑛 and are cut by transversal 𝑡, then alternate interior angles are congruent.

• If 𝑘 ∥ 𝑚 ∥ 𝑛 and are cut by transversal 𝑡, then vertical angles are congruent.

• If 𝑘 ∥ 𝑚 ∥ 𝑛 and are cut by transversal 𝑡, then alternate exterior angles are congruent.

• If 𝑘 ∥ 𝑚 ∥ 𝑛 and are cut by transversal 𝑡, then corresponding angles are congruent.

Tags

CCSS.8.G.A.5

Triangles 𝑅𝑆𝑇 and 𝑉𝑆𝑈 are shown below.

Which additional condition is sufficient to prove that 𝑅𝑆 ≅ 𝑆𝑉?

• 𝑇𝑆 ≅ 𝑆𝑈

• 𝑉𝑆 ⊥ 𝑅𝑈

• 𝑅𝑆 ≅ 𝑆𝑈

• ∠𝑉𝑈𝑆 ≅ ∠𝑅𝑆𝑇

Tags

CCSS.HSG.SRT.B.5

What reason can be used to justify statement 2?

• Complements of congruent angles are congruent.

• Vertical angles are congruent.

• Supplements of congruent angles are congruent.

• Corresponding angles are congruent.

Tags

CCSS.8.G.A.5