The two triangles are congruent by which Postulate?

The triangles are not congruent

What additional piece of information would you need to show that the two triangles are congruent by SAS?

∠ C ≅ ∠ G \angle C\cong\angle G ∠ C ≅ ∠ G

A B ‾ ≅ I H ‾ \overline{AB}\cong\overline{IH} A B ≅ I H

∠ A ≅ ∠ I \angle A\cong\angle I ∠ A ≅ ∠ I

∠ B ≅ ∠ H \angle B\cong\angle H ∠ B ≅ ∠ H

Select the choices that show congruent corresponding parts from the images. (There is more than one correct answer)

X Z ‾ ≅ J L ‾ \overline{XZ}\cong\overline{JL} X Z ≅ J L

Y Z ‾ ≅ K L ‾ \overline{YZ}\cong\overline{KL} Y Z ≅ K L

X Y ‾ ≅ J K ‾ \overline{XY}\cong\overline{JK} X Y ≅ J K

X Y ‾ ≅ K L ‾ \overline{XY}\cong\overline{KL} X Y ≅ K L

Select the choices that correctly identify congruent corresponding parts of the images. (There is more than one correct choice)

∠ D ≅ ∠ J \angle D\cong\angle J ∠ D ≅ ∠ J

∠ B ≅ ∠ G \angle B\cong\angle G ∠ B ≅ ∠ G

∠ A ≅ ∠ F \angle A\cong\angle F ∠ A ≅ ∠ F

∠ C ≅ ∠ F \angle C\cong\angle F ∠ C ≅ ∠ F

Find x and the measures of the unknown sides of the triangle.

x = 6 J K ‾ , K L ‾ , a n d J L ‾ = 24 x=6\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=24 x = 6 J K , K L , a n d J L = 2 4

x = 4 J K ‾ , K L ‾ , a n d J L ‾ = 20 x=4\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=20 x = 4 J K , K L , a n d J L = 2 0

x = 3 J K ‾ , K L ‾ , a n d J L ‾ = 20 x=3\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=20 x = 3 J K , K L , a n d J L = 2 0

x = 5 J K ‾ , K L ‾ , a n d J L ‾ = 25 x=5\ \ \overline{JK},\ \overline{KL},\ and\ \overline{JL}=\ 25 x = 5 J K , K L , a n d J L = 2 5

Find x and the measures of the unknown sides of the triangle.

x = 12 R S ‾ a n d R T ‾ = 31 x=12\ \overline{RS}\ and\ \overline{RT}=31 x = 1 2 R S a n d R T = 3 1

x = 11 R S ‾ a n d R T ‾ = 30 x=11\ \ \overline{RS}\ and\ \overline{RT}=30 x = 1 1 R S a n d R T = 3 0

x = 13 R S ‾ a n d R T ‾ = 32 x=13\ \overline{RS}\ and\ \overline{RT}=32 x = 1 3 R S a n d R T = 3 2

x = 12 R S ‾ a n d R T ‾ = 32 x=12\ \overline{RS}\ and\ \overline{RT}=32 x = 1 2 R S a n d R T = 3 2

The corresponding parts theorem states that

Corresponding parts of congruent triangles are congruent

All triangles are equal to each other

The hypotenuse of a triangle is parallel to its base

All corresponding angles in a triangle add up to 130

Are these triangles congruent?

Not enough information to know for sure

What does CPCTC stand for?

Corresponding parts of congruent triangles are congruent

Congruent parts of congruent triangles are congruent

Corresponding parts of corresponding triangles are corresponding

Corresponding parts of congruent triangles are Canadian.

If Δ A R T ≅ Δ H I M \Delta ART\ \cong\Delta HIM Δ A R T ≅ Δ H I M then which of the following are true? (SELECT ALL THAT APPLY)

∠ A ≅ ∠ H \angle A\cong\angle H ∠ A ≅ ∠ H

R T ‾ ≅ M I ‾ \overline{RT}\ \cong\ \overline{MI} R T ≅ M I

A R ‾ ≅ H I ‾ \overline{AR}\cong\overline{HI} A R ≅ H I

A T ‾ ≅ M I ‾ \overline{AT}\cong\overline{MI} A T ≅ M I

∠ T ≅ ∠ I \angle T\cong\angle I ∠ T ≅ ∠ I

Geometry Chapter 4 Review

Authored by Alicia Burroway

Mathematics

9th - 11th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the name of the triangle above?

isosceles

equilateral

scalene

right

Tags

CCSS.4.G.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An isosceles triangle has ___ equal length side(s).

Tags

CCSS.4.G.A.2

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Which triangle in the picture is an isosceles triangle?

(a)

Tags

CCSS.2.G.A.1

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Calculate the side lengths of the triangle.

(a)

Tags

CCSS.HSG.CO.C.11

FILL IN THE BLANK QUESTION

30 sec • 1 pt

The three interior angles in any triangle add up to (a) degrees.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

180

109

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the measure of angle 1.

180

Tags

CCSS.8.G.A.5

FILL IN THE BLANK QUESTION

30 sec • 1 pt

$\Delta BAC\cong\Delta_{---}$

(a)

Tags

CCSS.HSG.CO.B.7

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Geometry Chapter 4 Review

What is the name of the triangle above?

An isosceles triangle has ___ equal length side(s).

Which triangle in the picture is an isosceles triangle? (a)

Calculate the side lengths of the triangle. (a)

The three interior angles in any triangle add up to (a) degrees.

Find the measure of angle 1.

Find the value of x.

ΔBAC≅Δ−−−\Delta BAC\cong\Delta_{---}ΔBAC≅Δ−−−​ (a)

The two triangles are congruent by which Postulate?

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Which triangle in the picture is an isosceles triangle?

(a)

Calculate the side lengths of the triangle.

(a)

$\Delta BAC\cong\Delta_{---}$

(a)