Triangle Congruency Quiz

Imagine Benjamin, William, and Grace are building triangles with sticks. They discovered a rule that if all three sides of one triangle are equal to the three sides of another, the triangles are congruent. What is this rule called in triangle congruency?

• Side-Side-Side congruence

• Hypotenuse-Leg congruence

• Side-Angle-Side congruence

• Angle-Angle-Side congruence

Tags

CCSS.HSG.SRT.B.5

Emma, Isla, and Aria are building a triangle in their geometry class. They are discussing the concept of triangle congruency. Emma suggests that SAS represents Side-Angle-Side. Isla thinks it's Angle-Side-Angle, while Aria believes it's either Side-Side-Side or Side-Angle-Angle. Who is correct?

• Isla with Angle-Side-Angle

• Emma with Side-Angle-Side

• Aria with Side-Side-Side

• Aria with Side-Angle-Angle

Tags

CCSS.HSG.SRT.B.5

Hannah, Sophia, and Zoe are having a friendly debate about triangles. They are stuck on the full form of ASA congruence. Can you help them out?

• Angle-Side-Angle-Side

• Area-Side-Angle

• Angle-Side-Angle

• Adjacent-Side-Angle

Tags

CCSS.HSG.SRT.B.5

Aiden, Abigail, and Lily are on a treasure hunt. They found a map with a triangle and a clue that says 'AAS congruence'. Can you help them figure out what AAS congruence stands for in triangle congruency?

• Angle-Angle-Side

• Angle-Angle-Angle

• Angle-Side-Angle

• Side-Side-Side

Tags

CCSS.HSG.SRT.B.5

Imagine Kai, Ava, and Nora are building triangles with sticks. They discovered a rule that helps them prove when two right-angled triangles are congruent. What is this rule called in triangle congruency?

• A method for calculating the area of a triangle

• A rule for determining the sum of interior angles in a triangle

• Criteria for proving congruence of right-angled triangles

• Criteria for proving congruence of equilateral triangles

Tags

CCSS.HSG.SRT.B.5

Imagine Scarlett, Liam, and Arjun are building triangles with sticks. They are trying to figure out when two triangles can be considered congruent based on SSS. Can you help them?

• When two sides of Scarlett's triangle are equal to the corresponding sides of Liam's triangle

• When all three sides of Scarlett's triangle are equal to the corresponding sides of Arjun's triangle.

• When all three angles of Liam's triangle are equal to the corresponding angles of Arjun's triangle

• When the area of Arjun's triangle is equal to the area of Scarlett's triangle

Tags

CCSS.HSG.SRT.B.5

Evelyn, Mia, and David are on a quest to find a hidden treasure. They come across two mysterious triangles on a map. They can prove these triangles congruent and unlock the next clue using SAS congruence. When can they do this?

• When all three sides of one triangle are congruent to all three sides of the other triangle.

• When two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.

• When two angles and a non-included side of one triangle are congruent to two angles and a non-included side of the other triangle.

• When two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Henry, Hannah, and David are having a heated debate about triangle congruency in their geometry class. They are trying to figure out when they can use ASA to prove two triangles congruent. Can you help them out?

• When two pairs of corresponding angles and the non-included side of each triangle are congruent

• When they have two pairs of corresponding angles and the included side of each triangle are congruent.

• When two pairs of corresponding sides and the included angle of each triangle are congruent

• When all three sides of the triangles are congruent

Tags

CCSS.HSG.SRT.B.5

Mason, Jackson, and Avery are building triangles with sticks. They are arguing about when they can say two triangles are the same. Under what conditions can they use AAS (Angle-Angle-Side) to prove two triangles congruent?

• When they have two pairs of sticks forming the same angles and a pair of sticks of the same length, but not included between the angles.

• When they have two pairs of sticks of the same length and a pair of sticks forming the same angles, but not included between the sides.

• When they have two pairs of sticks forming the same angles and a pair of sticks of the same length, included between the angles.

• When they have two pairs of sticks of the same length, not included between the angles, and a pair of sticks forming the same angles.

Tags

CCSS.HSG.SRT.B.5

William, Abigail, and Isla are having a debate about right-angled triangles. They are trying to figure out when they can apply HL congruence to prove two right-angled triangles congruent. Can you help them out?

• When the triangles have the same area.

• When we have the hypotenuse and both legs of one triangle congruent to the hypotenuse and both legs of the other triangle.

• When the triangles have the same perimeter.

• When we have the hypotenuse and one leg of one triangle congruent to the hypotenuse and one leg of the other triangle.

Tags

CCSS.HSG.SRT.B.5