MATH-8-REVIEWER-3rd-Qrtr

Using the figure on the right, which equation can be used to solve for p and m?

• 2p – 5 = p + 5,      2m = 10

• 2p – 5 = 10,         p + 5 = 2m

• (p + 5) = 10,          (2p – 5) = 2m

• 2p + 5 = p - 5, 2m = 10

Tags

CCSS.HSG.CO.C.9

  In a pyramid, line segment AD is the perpendicular bisector of triangle ABC on line segment BC. If AB = 20 feet and BD= 7 feet, find the length of side AC.

• 7

• 13

• 20

• 27

Tags

CCSS.HSG.CO.C.9

How can triangle congruence principles be applied to construct angle bisectors?

• By ensuring that the angle bisector divides the opposite side into two congruent segments, which is established through the Angle-Angle-Side (AAS) congruence criterion.

• By verifying that the angle bisector divides the opposite side into two congruent segments, a condition met through the Side-Side-Side (SSS) congruence criterion.

• By confirming that the angle bisector divides the opposite side into two congruent segments, a result is achieved through the Side-Angle-Side (SAS) congruence criterion.

• By utilizing the Angle-Side-Angle (ASA) congruence criterion to ensure that the angle bisector divides the opposite side into two congruent segments.

Tags

CCSS.HSG.C.A.3

  Jess has a bike. He decided to put a reflector on his bicycle to improve visibility from both sides. Applying his knowledge in constructing angle bisectors, he listed a step-by-step plan. Determine the sequence Jess needs to follow to put the reflector on his bike.

I. Attach the reflector to the center of the handlebar using a mounting bracket or adhesive.

II. Identify the vertex of the angle formed by the bicycle's handlebar and frame.

III. Position the reflector so that it aligns with the angle bisector, providing optimal visibility from both sides. 

IV. Use a protractor to measure the angle formed by the handlebar and frame, ensuring accuracy.

• I, II, III, IV               

• I, II, IV, III               

• II, III, IV, I               

• IV, III, II, I

Tags

CCSS.HSG.CO.C.9

Kyla is developing a step-by-step plan for constructing   a perpendicular bisector of a given line segment using only a compass and straightedge. Help her arrange the steps below.

       I. Connect the intersections of the arcs with a     

       straight line.

II. Draw two arcs of equal radius, each centered at one endpoint of the line segment.

III. Identify the midpoint of the line segment.

IV. Verify the perpendicularity of the constructed line with the given line segment.

• I, II, III, IV

• . III, II, I, IV

• II, I, IV, III

• IV, III, II, I

Tags

CCSS.HSG.CO.C.9

What does an angle bisector form?

• It creates two congruent segments.

• It forms a right angle.

• It divides an angle into two congruent parts.

• It forms a right angle and divides an angle into congruent parts.

Tags

CCSS.HSG.CO.A.1

Three students are given the diagram shown at the right and asked which congruence postulate or theorem can be used to show ΔABC ≅ ΔADC. Here are their answers:

Meghan: ΔABC ≅ ΔADC by the SSS Congruence Postulate

Keith: ΔABC ≅ ΔADC by the SAS Congruence Postulate

Angie: ΔABC ≅ ΔADC by the Hypotenuse-Leg Congruence Theorem

Who among the three gave the correct answer?

• Meghan

• Angie

• Keith

• All of them

Tags

CCSS.HSG.SRT.B.5

Using the figure at the right, find the value of x.

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.CO.C.9

Given: ΔPQR and ΔTSR are right triangles Point R is a midpoint of QS. Which theorem can be used to prove that ΔPQR ≅ ΔTSR?

• HyL congruence theorem

• HyA congruence theorem

• LL congruence theorem

• LA congruence theorem

Tags

CCSS.HSG.SRT.B.5

Given: ∠R and ∠S are right angles and RP ≅ SP. Prove: RQ ≅ SQ. What must be your plan to be able to prove this by SSS congruence or by HL Theorem?

• Establish that ∠RQP and ∠SQP are complementary.

• Establish that ∠RQP and ∠SQP are supplementary.

• Prove that ∆RPS is right.

• Use reflexive property to show PQ = PQ then apply CPCTC.

Tags

CCSS.HSG.SRT.B.5