Deductive Geometry II

Deductive Geometry II

9th - 12th Grade

9 Qs

quiz-placeholder

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Deductive Geometry II

Deductive Geometry II

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Jeckyl Ztein

Used 5+ times

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which proof shows that ∆ADO ≅ ∆ABO

SSS

SAS

ASA

RHS

Answer explanation

Both triangles share the side AO.

∠AOB = ∠AOD (Supplementary -- adding to 180°)

AB = AD (given) - this is the hypotenuse.

Thus, they are congruent through RHS.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What proof shows that ∆AEB≅∆DEC?

SSS

SAS

ASA

RHS

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What proof shows that ∆WXY≅∆YZW?

SSS

SAS

ASA

RHS

Answer explanation

∠ZWY = ∠XYW (Alternate angles)

∠XWY =∠ZYW (Alternate angles)

WY is shared between both triangles.

Thus, both triangles are congruent by ASA.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What proof shows that ∆PTS ≅ ∆QTR?

SSS

SAS

ASA

RHS

Answer explanation

∠SPR = ∠QRP (Alternate Angle Theorem)

∠PSQ = ∠SQR (Alternate Angle Theorem)

PS = QR (given)

Therefore, the triangles are congruent by ASA.

5.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Media Image

What is the scale factor between these similar triangles?

1.5

0.67

7.5

1.1

Answer explanation

Dividing 2 by 3 is 0.67 roughly.

Dividing 3 by 2 is 1.5.

The scale factors can thus be 1.5 or 0.67.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What proof shows that these triangles are similar?

AAA

SSS

SAS

RHS

Answer explanation

∠ACB = ∠ECD (shared)

∠CED = ∠CAB (Corresponding angles)

∠CDE = ∠CBA (Corresponding angles)

Thus the triangles are similar by AAA.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What are the values of g and f?

g = 8

f = 9

g = 8

f = 6

g = 6

f = 8

g = 9

f = 8

Answer explanation

∆ADE ∼ ∆ABC (AAA by shared angle and corresponding angles)

AB value of 2 is scaled by 3 to become AD value of 6 = 4 + 2

Thus AC value of 4 -> 4 x 3 = 12 -> AE is 12 and g is 8.

BC value of 3 -> 3 x 3 = 9 -> f = 9.

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the value of the pro-numeral in the diagram at right.

2

1

4

8

Answer explanation

Scale factor is actually 2 not 1.

PB is scaled to PR, with 4 scaled to 8 (4 + 4).

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the values of x and y.

Impossible to determine

x = 4

y = 3

x = 0.75

y = 16

x = 3

y = 4

Answer explanation

PQ value of 3 is scaled by 2 to become ST value of 6.

y = 8 / 2 = 4

x = 1.5 x 2 = 3