Two Column Proof 10? Reteach

Which of the following is true about HL, check all that apply!

• Hypotenuse-Leg uses Pythagorean Theorem to be prove triangle congruence but only can be used with a right triangle.

• Hypotenuse-Leg uses Pythagorean Theorem to prove all sides congruent but only can be used with an equilateral triangle.

• HL Is in the Angle Side Side configuration but is only used when the angle is a right angle.

• Can be used to prove any triangle in the Angle Side Side configuration.

• Hypotenuse Line uses Perpendicular lines to prove similar triangles because all right triangles are the same shape, just different sizes.

Answer explanation

Tags

CCSS.HSG.SRT.B.5

Which of the following is NOT used to prove triangle Congruence

• Angle Angle Angle

• Angle Side Angle

• Angle Angle Side

• Angle Side Side

• Side Angle Side

Answer explanation

Angle Angle Angle is used for similarity not congruence.

Tags

CCSS.8.G.A.2

What would be the next step of the proof?

• $\overline{GF}\cong\overline{JF}\ \&\ \overline{KF}\cong\overline{HF}\ by\ Definition\ of\ Bi\sec t$

• $\overline{GJ}\cong\overline{HK}\ by\ Definition\ of\ Midpoint$

• $\angle GFK\cong\angle HFJ\ by\ the\ Reflexsive\ \Pr operty$

• $\overline{KF}\cong\overline{HF}\ by\ Definition\ of\ Midpoint$

• $\Delta GFK\cong\Delta HFJ\ by\ SSS$

Answer explanation

Tags

CCSS.HSG.SRT.B.5

Given the proof above which of the following is going to be used to find the 3rd missing piece needed on the next line to prove triangle congruence.

• Reflexive Property

• Vertical Angles

• Definition of Bisect

• Definition of Midpoint

• Definition of Supplementary

Answer explanation

Tags

CCSS.HSG.SRT.B.5

What is the reason the two triangles are congruent

Answer explanation

Tags

CCSS.HSG.SRT.B.5

Which of the following would be the next logical step based on the given to write on line #2: Choose BOTH the statement and the reason

• $S:\ \overline{SR}\cong\overline{UR}$

• $S:\ \overline{SV}\cong\overline{UV}$

• R: Reflexive Property

• R: Definition of Bisect

• R: Definition of Midpoint

Answer explanation

Tags

CCSS.HSG.SRT.B.5

Which of the following could be used in the proof, choose both the statement and the reason

• $S:\ \overline{VR}\cong\overline{RV}$

• $S:\ \angle SVR\cong\angle UVR$

• R: Reflexsive Provperty

• R: Vertical Angles

• R: Definition of Angle Bisector

Answer explanation

Tags

CCSS.HSG.SRT.B.5

Given the proof what is the final reason that should be written in this proof:

Answer explanation

Tags

CCSS.HSG.SRT.B.5

What Reason can be written to justify the triangles being congruent based on the Proof?

Answer explanation

Tags

CCSS.HSG.SRT.B.5

What is the Reason I can write the last statement?

Answer explanation

Tags

CCSS.HSG.SRT.B.5