DFE Review Pt. 2

State if the two triangles are congruent. If they are, state how you know.

• A

• B

• C

• D

Answer explanation

The correct choice is D. The two triangles are congruent because they have the same size and shape, which can be determined by the given information.

Tags

CCSS.HSG.SRT.B.5

State if the two triangles are congruent. If they are, state how you know.

• A

• B

• C

• D

Answer explanation

The correct choice is C because the two triangles are congruent based on the side-angle-side (SAS) congruence criterion.

Tags

CCSS.HSG.SRT.B.5

State if the two triangles are congruent. If they are, state how you know.

• A

• B

• C

• D

Answer explanation

The correct choice is B because the triangles are congruent by Angle-Side-Angle (ASA) criteria.

Tags

CCSS.HSG.SRT.B.5

State if the two triangles are congruent. If they are, state how you know.

• A

• B

• C

• D

Answer explanation

The correct choice is B because the two triangles are congruent by Angle-Side-Angle (ASA) congruence criterion.

Tags

CCSS.HSG.SRT.B.5

Given the diagram, which of the following must be true?

• ∆XSF ≅ ∆XTG

• ∆SXF ≅ ∆GXT

• ∆FXS≅ ∆XGT

• ∆FXS ≅ ∆GXT

Answer explanation

The correct choice is ∆SXF ≅ ∆GXT because they share a side XF and angle X, making them congruent by Side-Angle-Side (SAS) postulate.

Tags

CCSS.HSG.SRT.B.5

What does SAS stand for?

• Side-Angle-Side

• Super-Awesome-Side

• Side-Angle-Supersized

• Sensationally Awesome Superman

Answer explanation

SAS stands for Side-Angle-Side, which is a rule used in geometry to prove that two triangles are congruent based on having two sides and the included angle equal.

Tags

CCSS.HSG.SRT.B.5

In a triangle, how many total degrees are there?

• 100%

• 180 degrees

• it varies

• 360 degrees

Answer explanation

In a triangle, the total degrees always add up to 180 degrees, regardless of the size or shape of the triangle.

Tags

CCSS.8.G.A.5

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.
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What is the name of this kind of triangle?

• Right

• Scalene

• Isosceles

• Equilateral

Answer explanation

The name of this kind of triangle is Isosceles because it has two sides of equal length.

Tags

CCSS.4.G.A.2

Find the measure of the indicated angle. 

• 95

• 85

• 35

• 45

Answer explanation

The measure of the indicated angle is 45 degrees, which is the correct answer choice.

Tags

CCSS.8.G.A.5

Which type of triangle has two sides of equal length?

• Scalene triangle

• Isosceles triangle

• Right triangle

• Equilateral triangle

Answer explanation

An isosceles triangle has two sides of equal length, making it the type of triangle described in the question.

Tags

CCSS.4.G.A.2