What will the last "reason" of this proof be?

If the triangles are congruent then the corresponding parts are congruent

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another triangle, then the triangles are congruent.

Hypotenuse-Leg (HL) Congruence Theorem

Side-Side-Angle (SSA) Congruence Postulate

Angle-Side-Angle (ASA) Congruence Postulate

Side-Side-Side (SSS) Congruence Postulate

Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?

A - its wider than half the length from E to F

C - it is less than half the length from E to F

D - it is less than half the length from E to F

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

Place the straightedge along A and C

Place the straightedge along C and D

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

Construct a perpendicular bisector

Draw a second diameter to the circle

Construct a line tangent to the circle

Set your compass the length of the radius.

What geometric construction is shown in the diagram below?

a perpendicular bisector of a segment

a line parallel to a given line

an angle congruent to a given angle

Given: angle A What is the first step in constructing the angle bisector of angle A?

From point A, draw an arc that intersects the sides of theangle at points B and C.

Draw a line segment connecting points B and C.

From points B and C, draw equal arcs that intersect at D.

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

a line through P parallel to line l

a line through P intersecting line l

a line through P congruent to line l

a line through P perpendicular to line l

A compass and straight edge are used to construct the angle bisector AF. A triangle is then constructed by connecting points B and C as shown. Which statement must be true?

Segment AF is perpendicular to segment BC

An angle is bisected. It takes 16 more copies of the angle for the last angle to overlap the first horizontal ray. What is the measure of each angle? Explain.

20 degrees. There would be 18 total angles drawn and 360/18=20.

5 degrees. There would be 18 total angles so 90/18=5

A straightedge and compass were used to create the construction. Arc EF was drawn from point B, and arcs with equal radii were drawn from E and F to G(intersection of the arcs on segment BD). Which statements prove BD is an angle bisector?

BE=BF and EG=FG because they are the same compass setting. By the reflexive property, BG=BG so ∆BEG≃∆BFG by SSS

BA=BC and ED=FD because they are the same compass setting. By the reflexive property, BD=BD so ∆BEG≃∆BFG by SSS

BE=BF and EG=FG because they are the same compass setting. By the reflexive property, BG=BG so ∆BEG≃∆BFG by SAS

BA=BC and ED=FD because they are the same compass setting. By the reflexive property, BD=BD so ∆BEG≃∆BFG by SAS

Module 6 Review

Authored by Abby Cunningham

Mathematics

9th Grade

CCSS covered

Used 64+ times

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46 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

SAS

not congruent

AAS

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

SAS

not congruent

AAS

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

what is the formula for finding the hypotenuse?

a²⁺b²=c²

a+b=c

a-b=c

c-a=c

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

When can we use the HL Congruence Theorem?

Right Triangles

Isosceles Triangles

When we have a reflexive side

SSA

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

Yes, △ABC≅△YXW

Yes, △CBA≅△WXY

Yes, △BCA≅△XYW

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

Yes, △ABC≅△NLM

Yes, △CBA≅△NLM

Yes, △CBA≅△MLN

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

Yes, SSS

Yes, HL

Yes, SAS

Tags

CCSS.HSG.SRT.B.5

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Module 6 Review

what is the formula for finding the hypotenuse?

When can we use the HL Congruence Theorem?

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

What will the last "reason" of this proof be?

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another triangle, then the triangles are congruent.

The Triangle Sum Theorem states that the sum of the angles of a triangle equal how many degrees?

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